Large Designs: by id

Lehrstuhl II für Mathematik

Anton Betten
Reinhard Laue
Alfred Wassermann

our references in bibtex format
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creation date: Thu Mar 11 15:31:45 MET 1999

WARNING: Completeness of know results is attempted only for t >= 6 and v <= 40 in the following list.

0: 0 4-(27,6,115) (complement has $\lambda=138$)

TvT: 4-(26,5,10) $\cup$ 4-(26,6,105)

1: 1 4-(28,7,368) (complement has $\lambda=1656$)

TvT: 4-(27,6,46) $\cup$ 4-(27,7,322)

design of number 13 with respect to smaller t

derived from number 40

2: 2 4-(28,7,920) (complement has $\lambda=1104$)

TvT: 4-(27,6,115) $\cup$ 4-(27,7,805)

3: 3 4-(29,8,2300) (complement has $\lambda=10350$)

TvT: 4-(28,7,368) $\cup$ 4-(28,8,1932)

design of number 40 with respect to smaller t

derived from number 42

4: 4 4-(29,8,3450) (complement has $\lambda=9200$)

TvT: 4-(28,7,552) $\cup$ 4-(28,8,2898)

design of number 16 with respect to smaller t

derived from number 24

5: 5 4-(29,8,5750) (complement has $\lambda=6900$)

TvT: 4-(28,7,920) $\cup$ 4-(28,8,4830)

6: 6 4-(29,14,759000) (complement has $\lambda=2509760$)

TvT: 4-(28,13,303600) $\cup$ 4-(28,14,455400)

derived from number 9

design of number 19 with respect to smaller t

7: 7 4-(29,15,1035000) (complement has $\lambda=3422400$)

supplementary design of number 6

residual design of number 9

design of number 20 with respect to smaller t

8: 8 4-(30,15,1794000) (complement has $\lambda=5932160$)

Tran van Trung construction with supplementary design for design number 6

design of number 9 with respect to smaller t

9: 9 5-(30,15,759000) (complement has $\lambda=2509760$)

Alltop construction for design number 6

Tran van Trung construction with supplementary design for design number 19

10: 10 4-(30,9,11960) (complement has $\lambda=53820$)

TvT: 4-(29,8,2300) $\cup$ 4-(29,9,9660)

design of number 42 with respect to smaller t

11: 11 4-(30,9,17940) (complement has $\lambda=47840$)

TvT: 4-(29,8,3450) $\cup$ 4-(29,9,14490)

design of number 24 with respect to smaller t

derived from number 26

12: 12 4-(31,10,80730) (complement has $\lambda=215280$)

TvT: 4-(30,9,17940) $\cup$ 4-(30,10,62790)

design of number 26 with respect to smaller t

13: 13 5-(28,7,46) (complement has $\lambda=207$)

TvT: 5-(27,6,4) $\cup$ 5-(27,7,42)

14: 14 4-(27,6,46) (complement has $\lambda=207$)

derived from number 13

design of number 72 with respect to smaller t

15: 15 4-(27,7,322) (complement has $\lambda=1449$)

residual design of number 13

derived from number 4401

design of number 7046 with respect to smaller t

16: 16 5-(29,8,552) (complement has $\lambda=1472$)

TvT: 5-(28,7,69) $\cup$ 5-(28,8,483)

design of number 28 with respect to smaller t

derived from number 34

17: 17 4-(28,7,552) (complement has $\lambda=1472$)

derived from number 16

design of number 29 with respect to smaller t

18: 18 4-(28,8,2898) (complement has $\lambda=7728$)

residual design of number 16

design of number 30 with respect to smaller t

derived from number 35

19: 19 5-(29,14,303600) (complement has $\lambda=1003904$)

TvT: 5-(28,13,113850) $\cup$ 5-(28,14,189750)

20: 20 5-(29,15,455400) (complement has $\lambda=1505856$)

supplementary design of number 19

21: 21 4-(28,13,303600) (complement has $\lambda=1003904$)

derived from number 19

design of number 122 with respect to smaller t

22: 22 4-(28,14,455400) (complement has $\lambda=1505856$)

residual design of number 19

derived from number 20

Tran van Trung construction with supplementary design for design number 126

design of number 131 with respect to smaller t

23: 23 4-(28,15,579600) (complement has $\lambda=1916544$)

residual design of number 20

24: 24 5-(30,9,3450) (complement has $\lambda=9200$)

TvT: 5-(29,8,552) $\cup$ 5-(29,9,2898)

design of number 34 with respect to smaller t

derived from number 37

25: 25 4-(29,9,14490) (complement has $\lambda=38640$)

residual design of number 24

design of number 35 with respect to smaller t

derived from number 38

26: 26 5-(31,10,17940) (complement has $\lambda=47840$)

TvT: 5-(30,9,3450) $\cup$ 5-(30,10,14490)

design of number 37 with respect to smaller t

27: 27 4-(30,10,62790) (complement has $\lambda=167440$)

residual design of number 26

design of number 38 with respect to smaller t

28: 28 6-(29,8,69) (complement has $\lambda=184$)

TvT: 6-(28,7,6) $\cup$ 6-(28,8,63)

29: 29 5-(28,7,69) (complement has $\lambda=184$)

derived from number 28

design of number 44 with respect to smaller t

30: 30 5-(28,8,483) (complement has $\lambda=1288$)

residual design of number 28

Bluskov

design of number 7050 with respect to smaller t

derived from number 7371

31: 31 4-(27,6,69) (complement has $\lambda=184$)

derived from number 29

design of number 45 with respect to smaller t

32: 32 4-(27,7,483) (complement has $\lambda=1288$)

residual design of number 29

derived from number 30

design of number 46 with respect to smaller t

33: 33 4-(27,8,2415) (complement has $\lambda=6440$)

residual design of number 30

derived from number 4470

design of number 7051 with respect to smaller t

34: 34 6-(30,9,552) (complement has $\lambda=1472$)

TvT: 6-(29,8,69) $\cup$ 6-(29,9,483)

35: 35 5-(29,9,2898) (complement has $\lambda=7728$)

residual design of number 34

derived from number 4192

design of number 7371 with respect to smaller t

36: 36 4-(28,9,11592) (complement has $\lambda=30912$)

residual design of number 35

derived from number 4193

design of number 4470 with respect to smaller t

37: 37 6-(31,10,3450) (complement has $\lambda=9200$)

TvT: 6-(30,9,552) $\cup$ 6-(30,10,2898)

38: 38 5-(30,10,14490) (complement has $\lambda=38640$)

residual design of number 37

design of number 4192 with respect to smaller t

TvT: 5-(29,9,2898) $\cup$ 5-(29,10,11592)

39: 39 4-(29,10,48300) (complement has $\lambda=128800$)

residual design of number 38

design of number 4193 with respect to smaller t

40: 40 5-(29,8,368) (complement has $\lambda=1656$)

TvT: 5-(28,7,46) $\cup$ 5-(28,8,322)

41: 41 4-(28,8,1932) (complement has $\lambda=8694$)

residual design of number 40

design of number 4401 with respect to smaller t

derived from number 7344

42: 42 5-(30,9,2300) (complement has $\lambda=10350$)

TvT: 5-(29,8,368) $\cup$ 5-(29,9,1932)

43: 43 4-(29,9,9660) (complement has $\lambda=43470$)

residual design of number 42

design of number 7344 with respect to smaller t

44: 44 6-(28,7,6) (complement has $\lambda=16$)

$PSU(3,9)$ $\ge $ 10 isomorphism types

45: 45 5-(27,6,6) (complement has $\lambda=16$)

derived from number 44

46: 46 5-(27,7,63) (complement has $\lambda=168$)

residual design of number 44

derived from number 7050

47: 47 4-(26,5,6) (complement has $\lambda=16$)

derived from number 45

48: 48 4-(26,6,63) (complement has $\lambda=168$)

residual design of number 45

derived from number 46

49: 49 4-(26,7,420) (complement has $\lambda=1120$)

residual design of number 46

derived from number 7051

50: 50 5-(28,6,5) (complement has $\lambda=18$)

$PSU(3,9)$ 5724 isomorphism types

$PSL(2,27)$ \cite{KreherRadziszowski87a}

51: 51 4-(28,6,60) (complement has $\lambda=216$)

design of number 50 with respect to smaller t

52: 52 4-(27,5,5) (complement has $\lambda=18$)

derived from number 50

53: 53 4-(27,6,55) (complement has $\lambda=198$)

residual design of number 50

54: 54 5-(28,6,6) (complement has $\lambda=17$)

$PSU(3,9)$ 5290 isomorphism types

$PSL(2,27)$ \cite{KreherRadziszowski87a}

55: 55 4-(28,6,72) (complement has $\lambda=204$)

design of number 54 with respect to smaller t

56: 56 4-(27,5,6) (complement has $\lambda=17$)

derived from number 54

57: 57 4-(27,6,66) (complement has $\lambda=187$)

residual design of number 54

58: 58 5-(28,6,8) (complement has $\lambda=15$)

$PSU(3,9)$ many isomorphism types

$PSL(2,27)$ \cite{KreherRadziszowski87a}

59: 59 4-(28,6,96) (complement has $\lambda=180$)

design of number 58 with respect to smaller t

60: 60 4-(27,5,8) (complement has $\lambda=15$)

derived from number 58

61: 61 4-(27,6,88) (complement has $\lambda=165$)

residual design of number 58

62: 62 5-(28,6,9) (complement has $\lambda=14$)

$PSU(3,9)$ many isomorphism types

$PSL(2,27)$ \cite{KreherRadziszowski87a}

63: 63 4-(28,6,108) (complement has $\lambda=168$)

design of number 62 with respect to smaller t

derived from number 4764

64: 64 4-(27,5,9) (complement has $\lambda=14$)

derived from number 62

65: 65 4-(27,6,99) (complement has $\lambda=154$)

residual design of number 62

derived from number 7302

66: 66 5-(28,6,11) (complement has $\lambda=12$)

$PSU(3,9)$ many isomorphism types

$PSL(2,27)$ \cite{KreherRadziszowski87a}

67: 67 4-(28,6,132) (complement has $\lambda=144$)

design of number 66 with respect to smaller t

68: 68 4-(27,5,11) (complement has $\lambda=12$)

derived from number 66

69: 69 4-(27,6,121) (complement has $\lambda=132$)

residual design of number 66

70: 70 4-(26,5,4) (complement has $\lambda=18$)

$Hol(C_{26})$ many isomorphism types

derived from number 72

71: 71 4-(26,5,10) (complement has $\lambda=12$)

$Hol(C_{26})$ many isomorphism types

72: 72 5-(27,6,4) (complement has $\lambda=18$)

$ASL(3,3)^{13}$ NOT SIMPLE! 1 orbit twice

73: 73 4-(26,6,42) (complement has $\lambda=189$)

residual design of number 72

derived from number 7046

74: 74 5-(64,6,3) (complement has $\lambda=56$)

$A\Gamma L(2,8)$ 190 isomorphism types

75: 75 4-(64,6,90) (complement has $\lambda=1680$)

design of number 74 with respect to smaller t

76: 76 4-(63,5,3) (complement has $\lambda=56$)

derived from number 74

77: 77 4-(63,6,87) (complement has $\lambda=1624$)

residual design of number 74

78: 78 5-(64,6,11) (complement has $\lambda=48$)

$ASL(3,4)$ 8 isomorphism types

$ASL(3,4)$ 48 solutions, 18 isomorphism types

$ASL(3,4)$ 48 solutions

79: 79 4-(64,6,330) (complement has $\lambda=1440$)

design of number 78 with respect to smaller t

80: 80 4-(63,5,11) (complement has $\lambda=48$)

derived from number 78

81: 81 4-(63,6,319) (complement has $\lambda=1392$)

residual design of number 78

82: 82 5-(64,7,72) (complement has $\lambda=1639$)

$ASL(3,4)$

$A\Sigma L(3,4)$ many solutions

83: 83 4-(64,7,1440) (complement has $\lambda=32780$)

design of number 82 with respect to smaller t

84: 84 4-(63,6,72) (complement has $\lambda=1639$)

derived from number 82

85: 85 4-(63,7,1368) (complement has $\lambda=31141$)

residual design of number 82

86: 86 5-(42,7,306) (complement has $\lambda=360$)

$PSL(3,4) \times C_2$ 3 solutions

87: 87 4-(42,7,3876) (complement has $\lambda=4560$)

design of number 86 with respect to smaller t

88: 88 4-(41,6,306) (complement has $\lambda=360$)

derived from number 86

89: 89 4-(41,7,3570) (complement has $\lambda=4200$)

residual design of number 86

90: 90 4-(81,5,5) (complement has $\lambda=72$)

$ASL(4,3)$ #4-sets = # blocks

91: 91 4-(81,6,36) (complement has $\lambda=2890$)

$ASL(4,3)$

92: 92 4-(21,10,336) (complement has $\lambda=12040$)

$PSL(3,4)$ 3 isomorphism types

derived from number 95

PSL(3,4)

93: 93 4-(21,11,528) (complement has $\lambda=18920$)

supplementary design of number 92

residual design of number 95

94: 94 4-(22,11,864) (complement has $\lambda=30960$)

Tran van Trung construction with supplementary design for design number 92

design of number 95 with respect to smaller t

95: 95 5-(22,11,336) (complement has $\lambda=12040$)

Alltop construction for design number 92

$PSL(3,4)+$ 3 isomorphism types

\cite{Kreher95}

PSL(3,4)+ Alltop construction from 4-(21,10,336)

96: 96 4-(21,10,448) (complement has $\lambda=11928$)

$PSL(3,4)$ 1 isomorphism type

derived from number 99

PSL(3,4)

97: 97 4-(21,11,704) (complement has $\lambda=18744$)

supplementary design of number 96

residual design of number 99

98: 98 4-(22,11,1152) (complement has $\lambda=30672$)

Tran van Trung construction with supplementary design for design number 96

design of number 99 with respect to smaller t

99: 99 5-(22,11,448) (complement has $\lambda=11928$)

Alltop construction for design number 96

\cite{Kreher95} $PSL(3,4)+$ 1 isomorphism type, Alltop construction from 4-(21,10,448)

100: 100 3-(64,4,1) (complement has $\lambda=60$)

$SL(3,4)$ 1 isomorphism type

101: 101 6-(27,13,57960) (complement has $\lambda=58320$)

$Sp(6,2)_1$

derived from number 107

design of number 8808 with respect to smaller t

residual design of number 8925

102: 102 6-(27,14,101430) (complement has $\lambda=102060$)

supplementary design of number 101

residual design of number 107

design of number 8809 with respect to smaller t

103: 103 5-(27,13,159390) (complement has $\lambda=160380$)

design of number 101 with respect to smaller t

derived from number 106

residual design of number 7025

104: 104 5-(26,12,57960) (complement has $\lambda=58320$)

derived from number 101

residual design of number 6634

design of number 7979 with respect to smaller t

105: 105 5-(26,13,101430) (complement has $\lambda=102060$)

residual design of number 101

derived from number 102

Alltop construction for design number 115

Tran van Trung construction with supplementary design for design number 7983

design of number 7988 with respect to smaller t

106: 106 6-(28,14,159390) (complement has $\lambda=160380$)

Tran van Trung construction with supplementary design for design number 101

design of number 107 with respect to smaller t

residual design of number 9266

derived from number 9267

107: 107 7-(28,14,57960) (complement has $\lambda=58320$)

Alltop construction for design number 101

Tran van Trung construction with supplementary design for design number 8808

$Sp(6,2)$

108: 108 5-(27,14,247940) (complement has $\lambda=249480$)

design of number 102 with respect to smaller t

supplementary design of number 103

residual design of number 106

derived from number 9268

109: 109 5-(26,14,146510) (complement has $\lambda=147420$)

residual design of number 102

design of number 8810 with respect to smaller t

110: 110 4-(27,13,407330) (complement has $\lambda=409860$)

design of number 103 with respect to smaller t

derived from number 113

residual design of number 4312

111: 111 4-(26,12,159390) (complement has $\lambda=160380$)

derived from number 103

design of number 104 with respect to smaller t

residual design of number 4024

112: 112 4-(26,13,247940) (complement has $\lambda=249480$)

residual design of number 103

design of number 105 with respect to smaller t

derived from number 108

Tran van Trung construction with supplementary design for design number 115

113: 113 5-(28,14,407330) (complement has $\lambda=409860$)

Tran van Trung construction with supplementary design for design number 103

design of number 106 with respect to smaller t

Alltop construction for design number 110

residual design of number 7146

derived from number 7147

114: 114 4-(25,11,57960) (complement has $\lambda=58320$)

derived from number 104

residual design of number 3929

design of number 7982 with respect to smaller t

115: 115 4-(25,12,101430) (complement has $\lambda=102060$)

residual design of number 104

derived from number 105

design of number 7983 with respect to smaller t

116: 116 4-(25,13,146510) (complement has $\lambda=147420$)

residual design of number 105

derived from number 109

supplementary design of number 115

design of number 7991 with respect to smaller t

117: 117 4-(27,14,570262) (complement has $\lambda=573804$)

design of number 108 with respect to smaller t

supplementary design of number 110

residual design of number 113

derived from number 7150

118: 118 4-(26,14,322322) (complement has $\lambda=324324$)

residual design of number 108

design of number 109 with respect to smaller t

derived from number 9269

119: 119 4-(25,14,175812) (complement has $\lambda=176904$)

residual design of number 109

design of number 8811 with respect to smaller t

120: 120 4-(28,14,977592) (complement has $\lambda=983664$)

Tran van Trung construction with supplementary design for design number 110

design of number 113 with respect to smaller t

residual design of number 4757

derived from number 4758

121: 121 6-(28,13,39600) (complement has $\lambda=130944$)

$Sp(6,2)$

122: 122 5-(28,13,113850) (complement has $\lambda=376464$)

design of number 121 with respect to smaller t

123: 123 5-(27,12,39600) (complement has $\lambda=130944$)

derived from number 121

124: 124 5-(27,13,74250) (complement has $\lambda=245520$)

residual design of number 121

125: 125 4-(27,12,113850) (complement has $\lambda=376464$)

derived from number 122

design of number 123 with respect to smaller t

126: 126 4-(27,13,189750) (complement has $\lambda=627440$)

residual design of number 122

design of number 124 with respect to smaller t

derived from number 131

127: 127 4-(26,11,39600) (complement has $\lambda=130944$)

derived from number 123

128: 128 4-(26,12,74250) (complement has $\lambda=245520$)

residual design of number 123

derived from number 124

129: 129 5-(27,14,115500) (complement has $\lambda=381920$)

supplementary design of number 124

130: 130 4-(26,13,115500) (complement has $\lambda=381920$)

residual design of number 124

derived from number 129

131: 131 5-(28,14,189750) (complement has $\lambda=627440$)

Tran van Trung construction with supplementary design for design number 124

Alltop construction for design number 126

132: 132 4-(27,14,265650) (complement has $\lambda=878416$)

supplementary design of number 126

design of number 129 with respect to smaller t

residual design of number 131

133: 133 4-(26,14,150150) (complement has $\lambda=496496$)

residual design of number 129

134: 134 6-(28,13,47520) (complement has $\lambda=123024$)

$Sp(6,2)$

design of number 8852 with respect to smaller t

derived from number 9221

135: 135 5-(28,13,136620) (complement has $\lambda=353694$)

design of number 134 with respect to smaller t

residual design of number 7079

derived from number 7086

136: 136 5-(27,12,47520) (complement has $\lambda=123024$)

derived from number 134

residual design of number 7005

design of number 8853 with respect to smaller t

137: 137 5-(27,13,89100) (complement has $\lambda=230670$)

residual design of number 134

design of number 6770 with respect to smaller t

derived from number 6774

138: 138 4-(28,13,364320) (complement has $\lambda=943184$)

design of number 135 with respect to smaller t

residual design of number 4526

derived from number 4609

139: 139 4-(27,12,136620) (complement has $\lambda=353694$)

derived from number 135

design of number 136 with respect to smaller t

residual design of number 4230

140: 140 4-(27,13,227700) (complement has $\lambda=589490$)

residual design of number 135

design of number 137 with respect to smaller t

derived from number 145

141: 141 4-(26,11,47520) (complement has $\lambda=123024$)

derived from number 136

residual design of number 6401

design of number 6403 with respect to smaller t

142: 142 4-(26,12,89100) (complement has $\lambda=230670$)

residual design of number 136

derived from number 137

design of number 6772 with respect to smaller t

143: 143 5-(27,14,138600) (complement has $\lambda=358820$)

supplementary design of number 137

design of number 6771 with respect to smaller t

residual design of number 6774

derived from number 9223

144: 144 4-(26,13,138600) (complement has $\lambda=358820$)

residual design of number 137

derived from number 143

design of number 6773 with respect to smaller t

Tran van Trung construction with supplementary design for design number 6777

145: 145 5-(28,14,227700) (complement has $\lambda=589490$)

Tran van Trung construction with supplementary design for design number 137

Alltop construction for design number 140

design of number 6774 with respect to smaller t

residual design of number 7086

derived from number 7087

146: 146 4-(27,14,318780) (complement has $\lambda=825286$)

supplementary design of number 140

design of number 143 with respect to smaller t

residual design of number 145

derived from number 7090

147: 147 4-(28,14,546480) (complement has $\lambda=1414776$)

Tran van Trung construction with supplementary design for design number 140

design of number 145 with respect to smaller t

residual design of number 4609

derived from number 4610

148: 148 4-(26,14,180180) (complement has $\lambda=466466$)

residual design of number 143

design of number 6776 with respect to smaller t

derived from number 9224

149: 149 6-(28,13,59664) (complement has $\lambda=110880$)

$Sp(6,2)$

design of number 8871 with respect to smaller t

derived from number 9231

150: 150 5-(28,13,171534) (complement has $\lambda=318780$)

design of number 149 with respect to smaller t

derived from number 7098

151: 151 5-(27,12,59664) (complement has $\lambda=110880$)

derived from number 149

design of number 8872 with respect to smaller t

152: 152 5-(27,13,111870) (complement has $\lambda=207900$)

residual design of number 149

design of number 8873 with respect to smaller t

derived from number 8876

153: 153 4-(28,13,457424) (complement has $\lambda=850080$)

design of number 150 with respect to smaller t

derived from number 4659

154: 154 4-(27,12,171534) (complement has $\lambda=318780$)

derived from number 150

design of number 151 with respect to smaller t

155: 155 4-(27,13,285890) (complement has $\lambda=531300$)

residual design of number 150

design of number 152 with respect to smaller t

derived from number 160

156: 156 4-(26,11,59664) (complement has $\lambda=110880$)

derived from number 151

design of number 7922 with respect to smaller t

157: 157 4-(26,12,111870) (complement has $\lambda=207900$)

residual design of number 151

derived from number 152

design of number 8874 with respect to smaller t

158: 158 5-(27,14,174020) (complement has $\lambda=323400$)

supplementary design of number 152

design of number 8875 with respect to smaller t

residual design of number 8876

derived from number 9233

159: 159 4-(26,13,174020) (complement has $\lambda=323400$)

residual design of number 152

derived from number 158

Tran van Trung construction with supplementary design for design number 705

design of number 708 with respect to smaller t

160: 160 5-(28,14,285890) (complement has $\lambda=531300$)

Tran van Trung construction with supplementary design for design number 152

Alltop construction for design number 155

residual design of number 7098

derived from number 7099

design of number 8876 with respect to smaller t

161: 161 4-(27,14,400246) (complement has $\lambda=743820$)

supplementary design of number 155

design of number 158 with respect to smaller t

residual design of number 160

derived from number 7102

162: 162 4-(28,14,686136) (complement has $\lambda=1275120$)

Tran van Trung construction with supplementary design for design number 155

design of number 160 with respect to smaller t

residual design of number 4659

derived from number 4660

163: 163 4-(26,14,226226) (complement has $\lambda=420420$)

residual design of number 158

design of number 8878 with respect to smaller t

derived from number 9234

164: 164 6-(28,13,63360) (complement has $\lambda=107184$)

$Sp(6,2)$

design of number 8880 with respect to smaller t

derived from number 9236

165: 165 5-(28,13,182160) (complement has $\lambda=308154$)

design of number 164 with respect to smaller t

derived from number 7104

166: 166 5-(27,12,63360) (complement has $\lambda=107184$)

derived from number 164

design of number 8881 with respect to smaller t

167: 167 5-(27,13,118800) (complement has $\lambda=200970$)

residual design of number 164

design of number 8882 with respect to smaller t

derived from number 8887

168: 168 4-(28,13,485760) (complement has $\lambda=821744$)

design of number 165 with respect to smaller t

derived from number 4680

169: 169 4-(27,12,182160) (complement has $\lambda=308154$)

derived from number 165

design of number 166 with respect to smaller t

170: 170 4-(27,13,303600) (complement has $\lambda=513590$)

residual design of number 165

design of number 167 with respect to smaller t

derived from number 175

171: 171 4-(26,11,63360) (complement has $\lambda=107184$)

derived from number 166

design of number 8883 with respect to smaller t

172: 172 4-(26,12,118800) (complement has $\lambda=200970$)

residual design of number 166

derived from number 167

design of number 8884 with respect to smaller t

173: 173 5-(27,14,184800) (complement has $\lambda=312620$)

supplementary design of number 167

design of number 8885 with respect to smaller t

residual design of number 8887

derived from number 9238

174: 174 4-(26,13,184800) (complement has $\lambda=312620$)

residual design of number 167

derived from number 173

design of number 8886 with respect to smaller t

Tran van Trung construction with supplementary design for design number 8891

175: 175 5-(28,14,303600) (complement has $\lambda=513590$)

Tran van Trung construction with supplementary design for design number 167

Alltop construction for design number 170

residual design of number 7104

derived from number 7105

design of number 8887 with respect to smaller t

176: 176 4-(27,14,425040) (complement has $\lambda=719026$)

supplementary design of number 170

design of number 173 with respect to smaller t

residual design of number 175

derived from number 7108

177: 177 4-(28,14,728640) (complement has $\lambda=1232616$)

Tran van Trung construction with supplementary design for design number 170

design of number 175 with respect to smaller t

residual design of number 4680

derived from number 4681

178: 178 4-(26,14,240240) (complement has $\lambda=406406$)

residual design of number 173

design of number 8892 with respect to smaller t

derived from number 9239

179: 179 6-(28,13,67584) (complement has $\lambda=102960$)

$Sp(6,2)$

design of number 8895 with respect to smaller t

derived from number 9241

residual design of number 11562

180: 180 5-(28,13,194304) (complement has $\lambda=296010$)

design of number 179 with respect to smaller t

residual design of number 7085

derived from number 7110

181: 181 5-(27,12,67584) (complement has $\lambda=102960$)

derived from number 179

residual design of number 7011

design of number 8896 with respect to smaller t

182: 182 5-(27,13,126720) (complement has $\lambda=193050$)

residual design of number 179

design of number 8897 with respect to smaller t

derived from number 8900

183: 183 4-(28,13,518144) (complement has $\lambda=789360$)

design of number 180 with respect to smaller t

residual design of number 4543

derived from number 4687

184: 184 4-(27,12,194304) (complement has $\lambda=296010$)

derived from number 180

design of number 181 with respect to smaller t

residual design of number 4255

185: 185 4-(27,13,323840) (complement has $\lambda=493350$)

residual design of number 180

design of number 182 with respect to smaller t

derived from number 190

186: 186 4-(26,11,67584) (complement has $\lambda=102960$)

derived from number 181

residual design of number 6487

design of number 6489 with respect to smaller t

187: 187 4-(26,12,126720) (complement has $\lambda=193050$)

residual design of number 181

derived from number 182

design of number 8898 with respect to smaller t

188: 188 5-(27,14,197120) (complement has $\lambda=300300$)

supplementary design of number 182

design of number 8899 with respect to smaller t

residual design of number 8900

derived from number 9243

189: 189 4-(26,13,197120) (complement has $\lambda=300300$)

residual design of number 182

derived from number 188

Tran van Trung construction with supplementary design for design number 823

design of number 826 with respect to smaller t

190: 190 5-(28,14,323840) (complement has $\lambda=493350$)

Tran van Trung construction with supplementary design for design number 182

Alltop construction for design number 185

residual design of number 7110

derived from number 7111

design of number 8900 with respect to smaller t

191: 191 4-(27,14,453376) (complement has $\lambda=690690$)

supplementary design of number 185

design of number 188 with respect to smaller t

residual design of number 190

derived from number 7114

192: 192 4-(28,14,777216) (complement has $\lambda=1184040$)

Tran van Trung construction with supplementary design for design number 185

design of number 190 with respect to smaller t

residual design of number 4687

derived from number 4688

193: 193 4-(26,14,256256) (complement has $\lambda=390390$)

residual design of number 188

design of number 8902 with respect to smaller t

derived from number 9244

194: 194 6-(28,13,71280) (complement has $\lambda=99264$)

$Sp(6,2)$

design of number 8904 with respect to smaller t

residual design of number 9214

derived from number 9246

195: 195 5-(28,13,204930) (complement has $\lambda=285384$)

design of number 194 with respect to smaller t

residual design of number 7076

derived from number 7122

196: 196 5-(27,12,71280) (complement has $\lambda=99264$)

derived from number 194

design of number 6624 with respect to smaller t

residual design of number 7012

197: 197 5-(27,13,133650) (complement has $\lambda=186120$)

residual design of number 194

design of number 8905 with respect to smaller t

derived from number 8907

198: 198 4-(28,13,546480) (complement has $\lambda=761024$)

design of number 195 with respect to smaller t

residual design of number 4547

derived from number 4708

199: 199 4-(27,12,204930) (complement has $\lambda=285384$)

derived from number 195

design of number 196 with respect to smaller t

residual design of number 4211

200: 200 4-(27,13,341550) (complement has $\lambda=475640$)

residual design of number 195

design of number 197 with respect to smaller t

derived from number 205

201: 201 4-(26,11,71280) (complement has $\lambda=99264$)

derived from number 196

residual design of number 6502

design of number 6504 with respect to smaller t

202: 202 4-(26,12,133650) (complement has $\lambda=186120$)

residual design of number 196

derived from number 197

design of number 6625 with respect to smaller t

203: 203 5-(27,14,207900) (complement has $\lambda=289520$)

supplementary design of number 197

design of number 8906 with respect to smaller t

residual design of number 8907

derived from number 9248

204: 204 4-(26,13,207900) (complement has $\lambda=289520$)

residual design of number 197

derived from number 203

Tran van Trung construction with supplementary design for design number 6626

design of number 6628 with respect to smaller t

205: 205 5-(28,14,341550) (complement has $\lambda=475640$)

Tran van Trung construction with supplementary design for design number 197

Alltop construction for design number 200

residual design of number 7122

derived from number 7123

design of number 8907 with respect to smaller t

206: 206 4-(27,14,478170) (complement has $\lambda=665896$)

supplementary design of number 200

design of number 203 with respect to smaller t

residual design of number 205

derived from number 7126

207: 207 4-(28,14,819720) (complement has $\lambda=1141536$)

Tran van Trung construction with supplementary design for design number 200

design of number 205 with respect to smaller t

residual design of number 4708

derived from number 4709

208: 208 4-(26,14,270270) (complement has $\lambda=376376$)

residual design of number 203

design of number 8909 with respect to smaller t

derived from number 9249

209: 209 6-(28,13,79200) (complement has $\lambda=91344$)

$Sp(6,2)$

design of number 8912 with respect to smaller t

derived from number 9256

210: 210 5-(28,13,227700) (complement has $\lambda=262614$)

design of number 209 with respect to smaller t

derived from number 7134

residual design of number 11300

211: 211 5-(27,12,79200) (complement has $\lambda=91344$)

derived from number 209

design of number 8913 with respect to smaller t

residual design of number 11295

212: 212 5-(27,13,148500) (complement has $\lambda=171270$)

residual design of number 209

design of number 8914 with respect to smaller t

derived from number 8918

213: 213 4-(28,13,607200) (complement has $\lambda=700304$)

design of number 210 with respect to smaller t

derived from number 4722

residual design of number 11255

214: 214 4-(27,12,227700) (complement has $\lambda=262614$)

derived from number 210

design of number 211 with respect to smaller t

residual design of number 11237

215: 215 4-(27,13,379500) (complement has $\lambda=437690$)

residual design of number 210

design of number 212 with respect to smaller t

derived from number 220

216: 216 4-(26,11,79200) (complement has $\lambda=91344$)

derived from number 211

residual design of number 8549

design of number 8551 with respect to smaller t

217: 217 4-(26,12,148500) (complement has $\lambda=171270$)

residual design of number 211

derived from number 212

design of number 8915 with respect to smaller t

218: 218 5-(27,14,231000) (complement has $\lambda=266420$)

supplementary design of number 212

design of number 8916 with respect to smaller t

residual design of number 8918

derived from number 9258

219: 219 4-(26,13,231000) (complement has $\lambda=266420$)

residual design of number 212

derived from number 218

design of number 8917 with respect to smaller t

Tran van Trung construction with supplementary design for design number 8920

220: 220 5-(28,14,379500) (complement has $\lambda=437690$)

Tran van Trung construction with supplementary design for design number 212

Alltop construction for design number 215

residual design of number 7134

derived from number 7135

design of number 8918 with respect to smaller t

221: 221 4-(27,14,531300) (complement has $\lambda=612766$)

supplementary design of number 215

design of number 218 with respect to smaller t

residual design of number 220

derived from number 7138

222: 222 4-(28,14,910800) (complement has $\lambda=1050456$)

Tran van Trung construction with supplementary design for design number 215

design of number 220 with respect to smaller t

residual design of number 4722

derived from number 4723

223: 223 4-(26,14,300300) (complement has $\lambda=346346$)

residual design of number 218

design of number 8921 with respect to smaller t

derived from number 9259

224: 224 6-(28,13,83424) (complement has $\lambda=87120$)

$Sp(6,2)$

TvT: 6-(27,12,26544) $\cup$ 6-(27,13,56880)

design of number 8924 with respect to smaller t

derived from number 9261

225: 225 5-(28,13,239844) (complement has $\lambda=250470$)

design of number 224 with respect to smaller t

derived from number 7140

226: 226 5-(27,12,83424) (complement has $\lambda=87120$)

derived from number 224

design of number 6631 with respect to smaller t

227: 227 5-(27,13,156420) (complement has $\lambda=163350$)

residual design of number 224

design of number 6825 with respect to smaller t

derived from number 6827

228: 228 4-(28,13,639584) (complement has $\lambda=667920$)

design of number 225 with respect to smaller t

derived from number 4750

229: 229 4-(27,12,239844) (complement has $\lambda=250470$)

derived from number 225

design of number 226 with respect to smaller t

230: 230 4-(27,13,399740) (complement has $\lambda=417450$)

residual design of number 225

design of number 227 with respect to smaller t

derived from number 235

231: 231 4-(26,11,83424) (complement has $\lambda=87120$)

derived from number 226

design of number 6632 with respect to smaller t

232: 232 4-(26,12,156420) (complement has $\lambda=163350$)

residual design of number 226

derived from number 227

design of number 6291 with respect to smaller t

233: 233 5-(27,14,243320) (complement has $\lambda=254100$)

supplementary design of number 227

design of number 6826 with respect to smaller t

residual design of number 6827

derived from number 9263

234: 234 4-(26,13,243320) (complement has $\lambda=254100$)

residual design of number 227

derived from number 233

Tran van Trung construction with supplementary design for design number 6221

design of number 6224 with respect to smaller t

235: 235 5-(28,14,399740) (complement has $\lambda=417450$)

Tran van Trung construction with supplementary design for design number 227

Alltop construction for design number 230

design of number 6827 with respect to smaller t

residual design of number 7140

derived from number 7141

236: 236 4-(27,14,559636) (complement has $\lambda=584430$)

supplementary design of number 230

design of number 233 with respect to smaller t

residual design of number 235

derived from number 7144

237: 237 4-(28,14,959376) (complement has $\lambda=1001880$)

Tran van Trung construction with supplementary design for design number 230

design of number 235 with respect to smaller t

residual design of number 4750

derived from number 4751

238: 238 4-(26,14,316316) (complement has $\lambda=330330$)

residual design of number 233

design of number 6829 with respect to smaller t

derived from number 9264

239: 239 5-(27,9,1645) (complement has $\lambda=5670$)

$ASL(3,3)^{13}$

240: 240 4-(27,9,7567) (complement has $\lambda=26082$)

design of number 239 with respect to smaller t

241: 241 4-(26,8,1645) (complement has $\lambda=5670$)

derived from number 239

242: 242 4-(26,9,5922) (complement has $\lambda=20412$)

residual design of number 239

243: 243 6-(27,10,945) (complement has $\lambda=5040$)

$ASL(3,3)^{13}$

TvT: 6-(26,9,180) $\cup$ 6-(26,10,765)

244: 244 5-(27,10,4158) (complement has $\lambda=22176$)

design of number 243 with respect to smaller t

TvT: 5-(26,9,945) $\cup$ 5-(26,10,3213)

derived from number 11288

245: 245 5-(26,9,945) (complement has $\lambda=5040$)

derived from number 243

$PGL(2,25)$

design of number 6301 with respect to smaller t

246: 246 5-(26,10,3213) (complement has $\lambda=17136$)

residual design of number 243

derived from number 8046

design of number 8047 with respect to smaller t

247: 247 4-(27,10,15939) (complement has $\lambda=85008$)

design of number 244 with respect to smaller t

derived from number 11229

TvT: 4-(26,9,4158) $\cup$ 4-(26,10,11781)

residual design of number 11356

248: 248 4-(26,9,4158) (complement has $\lambda=22176$)

derived from number 244

design of number 245 with respect to smaller t

residual design of number 4133

249: 249 4-(26,10,11781) (complement has $\lambda=62832$)

residual design of number 244

design of number 246 with respect to smaller t

derived from number 8049

250: 250 4-(25,8,945) (complement has $\lambda=5040$)

derived from number 245

residual design of number 3956

design of number 6302 with respect to smaller t

251: 251 4-(25,9,3213) (complement has $\lambda=17136$)

residual design of number 245

derived from number 246

design of number 6303 with respect to smaller t

252: 252 4-(25,10,8568) (complement has $\lambda=45696$)

residual design of number 246

derived from number 8050

design of number 8051 with respect to smaller t

253: 253 6-(27,10,2205) (complement has $\lambda=3780$)

$ASL(3,3)^{13}$

TvT: 6-(26,9,420) $\cup$ 6-(26,10,1785)

\cite{Sebille98} $AGL(3,3)$

254: 254 5-(27,10,9702) (complement has $\lambda=16632$)

design of number 253 with respect to smaller t

TvT: 5-(26,9,2205) $\cup$ 5-(26,10,7497)

residual design of number 6892

derived from number 7003

255: 255 5-(26,9,2205) (complement has $\lambda=3780$)

derived from number 253

$PGL(2,25)$

design of number 6314 with respect to smaller t

residual design of number 6831

256: 256 5-(26,10,7497) (complement has $\lambda=12852$)

residual design of number 253

derived from number 6472

design of number 8408 with respect to smaller t

257: 257 4-(27,10,37191) (complement has $\lambda=63756$)

design of number 254 with respect to smaller t

residual design of number 4144

derived from number 4205

258: 258 4-(26,9,9702) (complement has $\lambda=16632$)

derived from number 254

design of number 255 with respect to smaller t

residual design of number 4137

259: 259 4-(26,10,27489) (complement has $\lambda=47124$)

residual design of number 254

design of number 256 with respect to smaller t

derived from number 6473

260: 260 4-(25,8,2205) (complement has $\lambda=3780$)

derived from number 255

design of number 6266 with respect to smaller t

residual design of number 6298

261: 261 4-(25,9,7497) (complement has $\lambda=12852$)

residual design of number 255

derived from number 256

design of number 6315 with respect to smaller t

262: 262 4-(25,10,19992) (complement has $\lambda=34272$)

residual design of number 256

derived from number 6474

design of number 8410 with respect to smaller t

263: 263 6-(27,10,2835) (complement has $\lambda=3150$)

$ASL(3,3)^{13}$

design of number 273 with respect to smaller t

\cite{Sebille98} $AGL(3,3)$

residual design of number 8817

derived from number 8824

264: 264 5-(27,10,12474) (complement has $\lambda=13860$)

design of number 263 with respect to smaller t

residual design of number 8818

derived from number 8825

265: 265 5-(26,9,2835) (complement has $\lambda=3150$)

derived from number 263

design of number 274 with respect to smaller t

$PGL(2,25)$

residual design of number 8819

266: 266 5-(26,10,9639) (complement has $\lambda=10710$)

residual design of number 263

design of number 275 with respect to smaller t

derived from number 6549

267: 267 4-(27,10,47817) (complement has $\lambda=53130$)

design of number 264 with respect to smaller t

residual design of number 8820

derived from number 8826

268: 268 4-(26,9,12474) (complement has $\lambda=13860$)

derived from number 264

design of number 265 with respect to smaller t

residual design of number 8821

269: 269 4-(26,10,35343) (complement has $\lambda=39270$)

residual design of number 264

design of number 266 with respect to smaller t

derived from number 6550

270: 270 4-(25,8,2835) (complement has $\lambda=3150$)

derived from number 265

design of number 276 with respect to smaller t

residual design of number 3971

271: 271 4-(25,9,9639) (complement has $\lambda=10710$)

residual design of number 265

derived from number 266

design of number 277 with respect to smaller t

272: 272 4-(25,10,25704) (complement has $\lambda=28560$)

residual design of number 266

design of number 278 with respect to smaller t

derived from number 6551

273: 273 7-(27,10,540) (complement has $\lambda=600$)

$ASL(3,3)^{13}$

$P\Gamma L(2,25)+$ \cite{Bettenetal97b}

274: 274 6-(26,9,540) (complement has $\lambda=600$)

derived from number 273

$PSL(2,25)$

design of number 8007 with respect to smaller t

275: 275 6-(26,10,2295) (complement has $\lambda=2550$)

residual design of number 273

derived from number 8565

276: 276 5-(25,8,540) (complement has $\lambda=600$)

derived from number 274

design of number 6273 with respect to smaller t

277: 277 5-(25,9,2295) (complement has $\lambda=2550$)

residual design of number 274

derived from number 275

design of number 8008 with respect to smaller t

278: 278 5-(25,10,7344) (complement has $\lambda=8160$)

residual design of number 275

derived from number 8566

279: 279 4-(24,7,540) (complement has $\lambda=600$)

derived from number 276

design of number 2879 with respect to smaller t

residual design of number 3857

280: 280 4-(24,8,2295) (complement has $\lambda=2550$)

residual design of number 276

derived from number 277

design of number 6274 with respect to smaller t

281: 281 4-(24,9,7344) (complement has $\lambda=8160$)

residual design of number 277

derived from number 278

design of number 3535 with respect to smaller t

282: 282 4-(24,10,18360) (complement has $\lambda=20400$)

residual design of number 278

derived from number 8567

283: 283 5-(49,7,294) (complement has $\lambda=652$)

$AGL(2,7)$

284: 284 4-(49,7,4410) (complement has $\lambda=9780$)

design of number 283 with respect to smaller t

285: 285 4-(48,6,294) (complement has $\lambda=652$)

derived from number 283

286: 286 4-(48,7,4116) (complement has $\lambda=9128$)

residual design of number 283

287: 287 5-(49,7,316) (complement has $\lambda=630$)

$AGL(2,7)$

288: 288 4-(49,7,4740) (complement has $\lambda=9450$)

design of number 287 with respect to smaller t

289: 289 4-(48,6,316) (complement has $\lambda=630$)

derived from number 287

290: 290 4-(48,7,4424) (complement has $\lambda=8820$)

residual design of number 287

291: 291 5-(66,6,21) (complement has $\lambda=40$)

$P\Gamma L(2,32)\times C_2$

292: 292 4-(66,6,651) (complement has $\lambda=1240$)

design of number 291 with respect to smaller t

293: 293 4-(65,5,21) (complement has $\lambda=40$)

derived from number 291

294: 294 4-(65,6,630) (complement has $\lambda=1200$)

residual design of number 291

295: 295 4-(11,5,1) (complement has $\lambda=6$)

\cite{Witt38}

derived from number 298

296: 296 4-(11,6,3) (complement has $\lambda=18$)

supplementary design of number 295

residual design of number 298

297: 297 4-(12,6,4) (complement has $\lambda=24$)

Tran van Trung construction with supplementary design for design number 295

design of number 298 with respect to smaller t

298: 298 5-(12,6,1) (complement has $\lambda=6$)

Alltop construction for design number 295

$Aut(Icosahedron)$ complementary design:5-(12,6,6) with #blocks = #5-subsets = 792

\cite{Witt38} $M_{12}$ (1 isom. type)

299: 299 4-(11,5,2) (complement has $\lambda=5$)

\cite{Kramer74}

derived from number 302

300: 300 4-(11,6,6) (complement has $\lambda=15$)

supplementary design of number 299

residual design of number 302

301: 301 4-(12,6,8) (complement has $\lambda=20$)

Tran van Trung construction with supplementary design for design number 299

design of number 302 with respect to smaller t

302: 302 5-(12,6,2) (complement has $\lambda=5$)

Alltop construction for design number 299

$Aut(Icosahedron)$, $PGL(2,11)$ supplementary design has same parameters

Alltop construction

303: 303 4-(11,5,3) (complement has $\lambda=4$)

\cite{Brouwer86}

derived from number 306

304: 304 4-(11,6,9) (complement has $\lambda=12$)

supplementary design of number 303

residual design of number 306

305: 305 4-(12,6,12) (complement has $\lambda=16$)

Tran van Trung construction with supplementary design for design number 303

design of number 306 with respect to smaller t

306: 306 5-(12,6,3) (complement has $\lambda=4$)

Alltop construction for design number 303

Alltop construction

307: 307 4-(15,7,20) (complement has $\lambda=145$)

$Hol(C_5)C_3$ Wassermann

derived from number 310

308: 308 4-(15,8,40) (complement has $\lambda=290$)

supplementary design of number 307

residual design of number 310

309: 309 4-(16,8,60) (complement has $\lambda=435$)

Tran van Trung construction with supplementary design for design number 307

design of number 310 with respect to smaller t

310: 310 5-(16,8,20) (complement has $\lambda=145$)

Alltop construction for design number 307

Alltop construction

Alltop construction

311: 311 4-(15,7,25) (complement has $\lambda=140$)

$Hol(C_5)C_3$ Wassermann

derived from number 314

312: 312 4-(15,8,50) (complement has $\lambda=280$)

supplementary design of number 311

residual design of number 314

313: 313 4-(16,8,75) (complement has $\lambda=420$)

Tran van Trung construction with supplementary design for design number 311

design of number 314 with respect to smaller t

314: 314 5-(16,8,25) (complement has $\lambda=140$)

Alltop construction for design number 311

Alltop construction

Alltop construction

315: 315 4-(15,7,30) (complement has $\lambda=135$)

Brouwer 1977/1986

derived from number 318

316: 316 4-(15,8,60) (complement has $\lambda=270$)

supplementary design of number 315

residual design of number 318

317: 317 4-(16,8,90) (complement has $\lambda=405$)

Tran van Trung construction with supplementary design for design number 315

design of number 318 with respect to smaller t

318: 318 5-(16,8,30) (complement has $\lambda=135$)

Alltop construction for design number 315

Alltop construction

319: 319 4-(15,7,35) (complement has $\lambda=130$)

Brouwer 1977/1986

derived from number 322

320: 320 4-(15,8,70) (complement has $\lambda=260$)

supplementary design of number 319

residual design of number 322

321: 321 4-(16,8,105) (complement has $\lambda=390$)

Tran van Trung construction with supplementary design for design number 319

design of number 322 with respect to smaller t

322: 322 5-(16,8,35) (complement has $\lambda=130$)

Alltop construction for design number 319

Alltop construction

323: 323 4-(15,7,40) (complement has $\lambda=125$)

Brouwer 1977/1986

derived from number 326

324: 324 4-(15,8,80) (complement has $\lambda=250$)

supplementary design of number 323

residual design of number 326

325: 325 4-(16,8,120) (complement has $\lambda=375$)

Tran van Trung construction with supplementary design for design number 323

design of number 326 with respect to smaller t

326: 326 5-(16,8,40) (complement has $\lambda=125$)

Alltop construction for design number 323

Alltop construction

327: 327 4-(15,7,45) (complement has $\lambda=120$)

Brouwer 1977/1986

derived from number 330

residual design of number 904

328: 328 4-(15,8,90) (complement has $\lambda=240$)

supplementary design of number 327

residual design of number 330

329: 329 4-(16,8,135) (complement has $\lambda=360$)

Tran van Trung construction with supplementary design for design number 327

design of number 330 with respect to smaller t

residual design of number 933

derived from number 934

330: 330 5-(16,8,45) (complement has $\lambda=120$)

Alltop construction for design number 327

$A_4\times D_4$ 1322 solutions

Alltop construction

331: 331 4-(15,7,50) (complement has $\lambda=115$)

Brouwer 1977/1986

derived from number 334

332: 332 4-(15,8,100) (complement has $\lambda=230$)

supplementary design of number 331

residual design of number 334

333: 333 4-(16,8,150) (complement has $\lambda=345$)

Tran van Trung construction with supplementary design for design number 331

design of number 334 with respect to smaller t

334: 334 5-(16,8,50) (complement has $\lambda=115$)

Alltop construction for design number 331

Alltop construction

335: 335 4-(15,7,55) (complement has $\lambda=110$)

Brouwer 1977/1986

derived from number 338

design of number 893 with respect to smaller t

336: 336 4-(15,8,110) (complement has $\lambda=220$)

supplementary design of number 335

residual design of number 338

design of number 894 with respect to smaller t

337: 337 4-(16,8,165) (complement has $\lambda=330$)

Tran van Trung construction with supplementary design for design number 335

design of number 338 with respect to smaller t

338: 338 5-(16,8,55) (complement has $\lambda=110$)

Alltop construction for design number 335

Tran van Trung construction with supplementary design for design number 893

Alltop construction

339: 339 4-(15,7,60) (complement has $\lambda=105$)

Brouwer 1977/1986

derived from number 342

residual design of number 906

340: 340 4-(15,8,120) (complement has $\lambda=210$)

supplementary design of number 339

residual design of number 342

341: 341 4-(16,8,180) (complement has $\lambda=315$)

Tran van Trung construction with supplementary design for design number 339

design of number 342 with respect to smaller t

residual design of number 940

derived from number 941

342: 342 5-(16,8,60) (complement has $\lambda=105$)

Alltop construction for design number 339

$A_4\times A_4$

Alltop construction

343: 343 4-(15,7,65) (complement has $\lambda=100$)

Brouwer 1977/1986

derived from number 346

344: 344 4-(15,8,130) (complement has $\lambda=200$)

supplementary design of number 343

residual design of number 346

345: 345 4-(16,8,195) (complement has $\lambda=300$)

Tran van Trung construction with supplementary design for design number 343

design of number 346 with respect to smaller t

346: 346 5-(16,8,65) (complement has $\lambda=100$)

Alltop construction for design number 343

$A_4\times A_4$

Alltop construction

347: 347 4-(15,7,70) (complement has $\lambda=95$)

Brouwer 1977/1986

derived from number 350

348: 348 4-(15,8,140) (complement has $\lambda=190$)

supplementary design of number 347

residual design of number 350

349: 349 4-(16,8,210) (complement has $\lambda=285$)

Tran van Trung construction with supplementary design for design number 347

design of number 350 with respect to smaller t

350: 350 5-(16,8,70) (complement has $\lambda=95$)

Alltop construction for design number 347

Alltop construction

351: 351 4-(15,7,75) (complement has $\lambda=90$)

Brouwer 1977/1986

derived from number 354

residual design of number 909

352: 352 4-(15,8,150) (complement has $\lambda=180$)

supplementary design of number 351

residual design of number 354

353: 353 4-(16,8,225) (complement has $\lambda=270$)

Tran van Trung construction with supplementary design for design number 351

design of number 354 with respect to smaller t

residual design of number 926

derived from number 927

354: 354 5-(16,8,75) (complement has $\lambda=90$)

Alltop construction for design number 351

Alltop construction

355: 355 4-(15,7,80) (complement has $\lambda=85$)

Brouwer 1977/1986

derived from number 358

356: 356 4-(15,8,160) (complement has $\lambda=170$)

supplementary design of number 355

residual design of number 358

357: 357 4-(16,8,240) (complement has $\lambda=255$)

Tran van Trung construction with supplementary design for design number 355

design of number 358 with respect to smaller t

358: 358 5-(16,8,80) (complement has $\lambda=85$)

Alltop construction for design number 355

Alltop construction

359: 359 4-(16,6,6) (complement has $\lambda=60$)

$(D_5\times C_3)+$ Wassermann

360: 360 4-(17,5,6) (complement has $\lambda=7$)

$D_{17})$ Wassermann

derived from number 5526

361: 361 4-(17,8,290) (complement has $\lambda=425$)

$C_{17}C8$ Wassermann

derived from number 364

residual design of number 7813

362: 362 4-(17,9,522) (complement has $\lambda=765$)

supplementary design of number 361

residual design of number 364

derived from number 7814

363: 363 4-(18,9,812) (complement has $\lambda=1190$)

Tran van Trung construction with supplementary design for design number 361

design of number 364 with respect to smaller t

residual design of number 5540

derived from number 5541

364: 364 5-(18,9,290) (complement has $\lambda=425$)

Alltop construction for design number 361

Alltop construction

residual design of number 7811

derived from number 7812

365: 365 4-(33,16,21850920) (complement has $\lambda=30045015$)

TvT: 4-(32,15,9041760) $\cup$ 4-(32,16,12809160)

derived from number 367

366: 366 4-(34,17,50425200) (complement has $\lambda=69334650$)

Tran van Trung construction with supplementary design for design number 365

design of number 367 with respect to smaller t

367: 367 5-(34,17,21850920) (complement has $\lambda=30045015$)

Alltop construction for design number 365

368: 368 4-(33,17,28574280) (complement has $\lambda=39289635$)

residual design of number 367

369: 369 4-(34,16,36418200) (complement has $\lambda=50075025$)

TvT: 4-(33,15,14567280) $\cup$ 4-(33,16,21850920)

370: 370 5-(29,14,649704) (complement has $\lambda=657800$)

TvT: 5-(28,13,243639) $\cup$ 5-(28,14,406065)

371: 371 5-(29,15,974556) (complement has $\lambda=986700$)

supplementary design of number 370

372: 372 4-(29,14,1624260) (complement has $\lambda=1644500$)

design of number 370 with respect to smaller t

derived from number 375

TvT: 4-(28,13,649704) $\cup$ 4-(28,14,974556)

373: 373 4-(28,13,649704) (complement has $\lambda=657800$)

derived from number 370

design of number 448 with respect to smaller t

TvT: 4-(27,12,243639) $\cup$ 4-(27,13,406065)

374: 374 4-(28,14,974556) (complement has $\lambda=986700$)

residual design of number 370

derived from number 371

Tran van Trung construction with supplementary design for design number 419

design of number 422 with respect to smaller t

375: 375 5-(30,15,1624260) (complement has $\lambda=1644500$)

Tran van Trung construction with supplementary design for design number 370

Alltop construction for design number 372

376: 376 4-(29,15,2214900) (complement has $\lambda=2242500$)

design of number 371 with respect to smaller t

supplementary design of number 372

residual design of number 375

377: 377 4-(28,15,1240344) (complement has $\lambda=1255800$)

residual design of number 371

378: 378 4-(30,15,3839160) (complement has $\lambda=3887000$)

Tran van Trung construction with supplementary design for design number 372

design of number 375 with respect to smaller t

379: 379 4-(31,15,5489640) (complement has $\lambda=7548255$)

TvT: 4-(30,14,2236520) $\cup$ 4-(30,15,3253120)

derived from number 381

380: 380 4-(32,16,12809160) (complement has $\lambda=17612595$)

Tran van Trung construction with supplementary design for design number 379

design of number 381 with respect to smaller t

381: 381 5-(32,16,5489640) (complement has $\lambda=7548255$)

Alltop construction for design number 379

382: 382 4-(31,16,7319520) (complement has $\lambda=10064340$)

residual design of number 381

383: 383 4-(32,15,9041760) (complement has $\lambda=12432420$)

TvT: 4-(31,14,3552120) $\cup$ 4-(31,15,5489640)

384: 384 4-(33,15,14567280) (complement has $\lambda=20030010$)

TvT: 4-(32,14,5525520) $\cup$ 4-(32,15,9041760)

385: 385 4-(29,14,263120) (complement has $\lambda=3005640$)

TvT: 4-(28,13,105248) $\cup$ 4-(28,14,157872)

derived from number 388

design of number 425 with respect to smaller t

386: 386 4-(29,15,358800) (complement has $\lambda=4098600$)

supplementary design of number 385

residual design of number 388

design of number 426 with respect to smaller t

387: 387 4-(30,15,621920) (complement has $\lambda=7104240$)

Tran van Trung construction with supplementary design for design number 385

design of number 388 with respect to smaller t

388: 388 5-(30,15,263120) (complement has $\lambda=3005640$)

Alltop construction for design number 385

Tran van Trung construction with supplementary design for design number 425

389: 389 4-(29,14,409860) (complement has $\lambda=2858900$)

TvT: 4-(28,13,163944) $\cup$ 4-(28,14,245916)

derived from number 392

design of number 430 with respect to smaller t

390: 390 4-(29,15,558900) (complement has $\lambda=3898500$)

supplementary design of number 389

residual design of number 392

design of number 431 with respect to smaller t

391: 391 4-(30,15,968760) (complement has $\lambda=6757400$)

Tran van Trung construction with supplementary design for design number 389

design of number 392 with respect to smaller t

392: 392 5-(30,15,409860) (complement has $\lambda=2858900$)

Alltop construction for design number 389

Tran van Trung construction with supplementary design for design number 430

393: 393 4-(29,14,986700) (complement has $\lambda=2282060$)

TvT: 4-(28,13,394680) $\cup$ 4-(28,14,592020)

derived from number 396

394: 394 4-(29,15,1345500) (complement has $\lambda=3111900$)

supplementary design of number 393

residual design of number 396

395: 395 4-(30,15,2332200) (complement has $\lambda=5393960$)

Tran van Trung construction with supplementary design for design number 393

design of number 396 with respect to smaller t

396: 396 5-(30,15,986700) (complement has $\lambda=2282060$)

Alltop construction for design number 393

397: 397 4-(29,14,1098020) (complement has $\lambda=2170740$)

TvT: 4-(28,13,439208) $\cup$ 4-(28,14,658812)

derived from number 400

398: 398 4-(29,15,1497300) (complement has $\lambda=2960100$)

supplementary design of number 397

residual design of number 400

399: 399 4-(30,15,2595320) (complement has $\lambda=5130840$)

Tran van Trung construction with supplementary design for design number 397

design of number 400 with respect to smaller t

400: 400 5-(30,15,1098020) (complement has $\lambda=2170740$)

Alltop construction for design number 397

401: 401 4-(29,14,1168860) (complement has $\lambda=2099900$)

TvT: 4-(28,13,467544) $\cup$ 4-(28,14,701316)

derived from number 404

402: 402 4-(29,15,1593900) (complement has $\lambda=2863500$)

supplementary design of number 401

residual design of number 404

403: 403 4-(30,15,2762760) (complement has $\lambda=4963400$)

Tran van Trung construction with supplementary design for design number 401

design of number 404 with respect to smaller t

404: 404 5-(30,15,1168860) (complement has $\lambda=2099900$)

Alltop construction for design number 401

405: 405 4-(29,14,1265000) (complement has $\lambda=2003760$)

TvT: 4-(28,13,506000) $\cup$ 4-(28,14,759000)

derived from number 408

design of number 11394 with respect to smaller t

residual design of number 11398

406: 406 4-(29,15,1725000) (complement has $\lambda=2732400$)

supplementary design of number 405

residual design of number 408

design of number 11395 with respect to smaller t

407: 407 4-(30,15,2990000) (complement has $\lambda=4736160$)

Tran van Trung construction with supplementary design for design number 405

design of number 408 with respect to smaller t

residual design of number 11403

derived from number 11404

408: 408 5-(30,15,1265000) (complement has $\lambda=2003760$)

Alltop construction for design number 405

Tran van Trung construction with supplementary design for design number 11394

409: 409 4-(29,14,1543300) (complement has $\lambda=1725460$)

TvT: 4-(28,13,617320) $\cup$ 4-(28,14,925980)

derived from number 412

410: 410 4-(29,15,2104500) (complement has $\lambda=2352900$)

supplementary design of number 409

residual design of number 412

411: 411 4-(30,15,3647800) (complement has $\lambda=4078360$)

Tran van Trung construction with supplementary design for design number 409

design of number 412 with respect to smaller t

412: 412 5-(30,15,1543300) (complement has $\lambda=1725460$)

Alltop construction for design number 409

413: 413 4-(29,14,1614140) (complement has $\lambda=1654620$)

TvT: 4-(28,13,645656) $\cup$ 4-(28,14,968484)

derived from number 416

414: 414 4-(29,15,2201100) (complement has $\lambda=2256300$)

supplementary design of number 413

residual design of number 416

415: 415 4-(30,15,3815240) (complement has $\lambda=3910920$)

Tran van Trung construction with supplementary design for design number 413

design of number 416 with respect to smaller t

416: 416 5-(30,15,1614140) (complement has $\lambda=1654620$)

Alltop construction for design number 413

417: 417 5-(27,13,158895) (complement has $\lambda=160875$)

TvT: 5-(26,12,57780) $\cup$ 5-(26,13,101115)

418: 418 5-(27,14,247170) (complement has $\lambda=250250$)

supplementary design of number 417

419: 419 4-(27,13,406065) (complement has $\lambda=411125$)

design of number 417 with respect to smaller t

derived from number 422

residual design of number 448

TvT: 4-(26,12,158895) $\cup$ 4-(26,13,247170)

420: 420 4-(26,12,158895) (complement has $\lambda=160875$)

derived from number 417

TvT: 4-(25,11,57780) $\cup$ 4-(25,12,101115)

design of number 716 with respect to smaller t

residual design of number 718

421: 421 4-(26,13,247170) (complement has $\lambda=250250$)

residual design of number 417

derived from number 418

Tran van Trung construction with supplementary design for design number 649

design of number 651 with respect to smaller t

422: 422 5-(28,14,406065) (complement has $\lambda=411125$)

Tran van Trung construction with supplementary design for design number 417

Alltop construction for design number 419

423: 423 4-(27,14,568491) (complement has $\lambda=575575$)

design of number 418 with respect to smaller t

supplementary design of number 419

residual design of number 422

424: 424 4-(26,14,321321) (complement has $\lambda=325325$)

residual design of number 418

425: 425 5-(29,14,105248) (complement has $\lambda=1202256$)

TvT: 5-(28,13,39468) $\cup$ 5-(28,14,65780)

426: 426 5-(29,15,157872) (complement has $\lambda=1803384$)

supplementary design of number 425

427: 427 4-(28,13,105248) (complement has $\lambda=1202256$)

derived from number 425

TvT: 4-(27,12,39468) $\cup$ 4-(27,13,65780)

design of number 770 with respect to smaller t

428: 428 4-(28,14,157872) (complement has $\lambda=1803384$)

residual design of number 425

derived from number 426

Tran van Trung construction with supplementary design for design number 666

design of number 668 with respect to smaller t

429: 429 4-(28,15,200928) (complement has $\lambda=2295216$)

residual design of number 426

430: 430 5-(29,14,163944) (complement has $\lambda=1143560$)

TvT: 5-(28,13,61479) $\cup$ 5-(28,14,102465)

431: 431 5-(29,15,245916) (complement has $\lambda=1715340$)

supplementary design of number 430

432: 432 4-(28,13,163944) (complement has $\lambda=1143560$)

derived from number 430

TvT: 4-(27,12,61479) $\cup$ 4-(27,13,102465)

design of number 631 with respect to smaller t

433: 433 4-(28,14,245916) (complement has $\lambda=1715340$)

residual design of number 430

derived from number 431

Tran van Trung construction with supplementary design for design number 609

design of number 611 with respect to smaller t

434: 434 4-(28,15,312984) (complement has $\lambda=2183160$)

residual design of number 431

435: 435 4-(29,14,946220) (complement has $\lambda=2322540$)

TvT: 4-(28,13,378488) $\cup$ 4-(28,14,567732)

derived from number 438

436: 436 4-(29,15,1290300) (complement has $\lambda=3167100$)

supplementary design of number 435

residual design of number 438

437: 437 4-(30,15,2236520) (complement has $\lambda=5489640$)

Tran van Trung construction with supplementary design for design number 435

design of number 438 with respect to smaller t

438: 438 5-(30,15,946220) (complement has $\lambda=2322540$)

Alltop construction for design number 435

439: 439 4-(29,14,1320660) (complement has $\lambda=1948100$)

TvT: 4-(28,13,528264) $\cup$ 4-(28,14,792396)

derived from number 442

440: 440 4-(29,15,1800900) (complement has $\lambda=2656500$)

supplementary design of number 439

residual design of number 442

441: 441 4-(30,15,3121560) (complement has $\lambda=4604600$)

Tran van Trung construction with supplementary design for design number 439

design of number 442 with respect to smaller t

442: 442 5-(30,15,1320660) (complement has $\lambda=1948100$)

Alltop construction for design number 439

443: 443 4-(29,14,1376320) (complement has $\lambda=1892440$)

TvT: 4-(28,13,550528) $\cup$ 4-(28,14,825792)

derived from number 446

444: 444 4-(29,15,1876800) (complement has $\lambda=2580600$)

supplementary design of number 443

residual design of number 446

445: 445 4-(30,15,3253120) (complement has $\lambda=4473040$)

Tran van Trung construction with supplementary design for design number 443

design of number 446 with respect to smaller t

446: 446 5-(30,15,1376320) (complement has $\lambda=1892440$)

Alltop construction for design number 443

447: 447 4-(30,14,2236520) (complement has $\lambda=3075215$)

TvT: 4-(29,13,860200) $\cup$ 4-(29,14,1376320)

448: 448 5-(28,13,243639) (complement has $\lambda=246675$)

TvT: 5-(27,12,84744) $\cup$ 5-(27,13,158895)

449: 449 4-(27,12,243639) (complement has $\lambda=246675$)

derived from number 448

TvT: 4-(26,11,84744) $\cup$ 4-(26,12,158895)

design of number 718 with respect to smaller t

450: 450 4-(31,14,3552120) (complement has $\lambda=4884165$)

TvT: 4-(30,13,1315600) $\cup$ 4-(30,14,2236520)

451: 451 4-(32,14,5525520) (complement has $\lambda=7597590$)

TvT: 4-(31,13,1973400) $\cup$ 4-(31,14,3552120)

452: 452 4-(29,14,1280180) (complement has $\lambda=1988580$)

TvT: 4-(28,13,512072) $\cup$ 4-(28,14,768108)

derived from number 455

453: 453 4-(29,15,1745700) (complement has $\lambda=2711700$)

supplementary design of number 452

residual design of number 455

454: 454 4-(30,15,3025880) (complement has $\lambda=4700280$)

Tran van Trung construction with supplementary design for design number 452

design of number 455 with respect to smaller t

455: 455 5-(30,15,1280180) (complement has $\lambda=1988580$)

Alltop construction for design number 452

456: 456 4-(18,8,77) (complement has $\lambda=924$)

TvT: 4-(17,7,22) $\cup$ 4-(17,8,55)

457: 457 4-(21,9,3024) (complement has $\lambda=3164$)

PSL(3,4)

458: 458 4-(21,9,2156) (complement has $\lambda=4032$)

PSL(3,4)

459: 459 4-(21,9,2688) (complement has $\lambda=3500$)

PSL(3,4)

460: 460 4-(21,9,1820) (complement has $\lambda=4368$)

PSL(3,4)

residual design of number 1982

461: 461 4-(21,10,672) (complement has $\lambda=11704$)

PSL(3,4)

derived from number 464

462: 462 4-(21,11,1056) (complement has $\lambda=18392$)

supplementary design of number 461

residual design of number 464

463: 463 4-(22,11,1728) (complement has $\lambda=30096$)

Tran van Trung construction with supplementary design for design number 461

design of number 464 with respect to smaller t

464: 464 5-(22,11,672) (complement has $\lambda=11704$)

Alltop construction for design number 461

$PSL(3,4)+$ 9 isomorphism types

\cite{Kreher95} $PGL(2,19)++$ 1 isomorphism type

PSL(3,4)+ Alltop construction from 4-(21,10,672)

465: 465 4-(21,10,2352) (complement has $\lambda=10024$)

PSL(3,4)

derived from number 468

466: 466 4-(21,11,3696) (complement has $\lambda=15752$)

supplementary design of number 465

residual design of number 468

467: 467 4-(22,11,6048) (complement has $\lambda=25776$)

Tran van Trung construction with supplementary design for design number 465

design of number 468 with respect to smaller t

468: 468 5-(22,11,2352) (complement has $\lambda=10024$)

Alltop construction for design number 465

$PSL(3,4)+$

\cite{Kreher95}

PSL(3,4)+ Alltop construction from 4-(21,10,2352)

469: 469 4-(21,10,2856) (complement has $\lambda=9520$)

PSL(3,4)

derived from number 472

design of number 1849 with respect to smaller t

residual design of number 2203

470: 470 4-(21,11,4488) (complement has $\lambda=14960$)

supplementary design of number 469

residual design of number 472

design of number 1850 with respect to smaller t

471: 471 4-(22,11,7344) (complement has $\lambda=24480$)

Tran van Trung construction with supplementary design for design number 469

design of number 472 with respect to smaller t

residual design of number 2342

derived from number 2343

472: 472 5-(22,11,2856) (complement has $\lambda=9520$)

Alltop construction for design number 469

Tran van Trung construction with supplementary design for design number 1849

\cite{Kreher95} $PSL(3,4)+$ Alltop construction from 4-(21,10,2856)

design of number 5571 with respect to smaller t

473: 473 4-(21,10,3192) (complement has $\lambda=9184$)

PSL(3,4)

derived from number 476

474: 474 4-(21,11,5016) (complement has $\lambda=14432$)

supplementary design of number 473

residual design of number 476

475: 475 4-(22,11,8208) (complement has $\lambda=23616$)

Tran van Trung construction with supplementary design for design number 473

design of number 476 with respect to smaller t

476: 476 5-(22,11,3192) (complement has $\lambda=9184$)

Alltop construction for design number 473

$PSL(3,4)+$

PSL(3,4)+ Alltop construction from 4-(21,10,3192)

477: 477 4-(21,10,2296) (complement has $\lambda=10080$)

PSL(3,4)

derived from number 480

478: 478 4-(21,11,3608) (complement has $\lambda=15840$)

supplementary design of number 477

residual design of number 480

479: 479 4-(22,11,5904) (complement has $\lambda=25920$)

Tran van Trung construction with supplementary design for design number 477

design of number 480 with respect to smaller t

480: 480 5-(22,11,2296) (complement has $\lambda=10080$)

Alltop construction for design number 477

$PSL(3,4)+$

\cite{Kreher95}

PSL(3,4)+ Alltop construction from 4-(21,10,2296)

481: 481 4-(21,10,4984) (complement has $\lambda=7392$)

PSL(3,4)

derived from number 484

482: 482 4-(21,11,7832) (complement has $\lambda=11616$)

supplementary design of number 481

residual design of number 484

483: 483 4-(22,11,12816) (complement has $\lambda=19008$)

Tran van Trung construction with supplementary design for design number 481

design of number 484 with respect to smaller t

484: 484 5-(22,11,4984) (complement has $\lambda=7392$)

Alltop construction for design number 481

$PSL(3,4)+$

PSL(3,4)+ Alltop construction from 4-(21,10,4984)

485: 485 4-(21,10,5544) (complement has $\lambda=6832$)

PSL(3,4)

derived from number 488

residual design of number 2243

486: 486 4-(21,11,8712) (complement has $\lambda=10736$)

supplementary design of number 485

residual design of number 488

487: 487 4-(22,11,14256) (complement has $\lambda=17568$)

Tran van Trung construction with supplementary design for design number 485

design of number 488 with respect to smaller t

residual design of number 10987

derived from number 10988

488: 488 5-(22,11,5544) (complement has $\lambda=6832$)

Alltop construction for design number 485

$PSL(3,4)+$ Alltop construction from 4-(21,10,5544)

489: 489 4-(21,10,4816) (complement has $\lambda=7560$)

PSL(3,4)

derived from number 492

PGL(3,4)

490: 490 4-(21,11,7568) (complement has $\lambda=11880$)

supplementary design of number 489

residual design of number 492

491: 491 4-(22,11,12384) (complement has $\lambda=19440$)

Tran van Trung construction with supplementary design for design number 489

design of number 492 with respect to smaller t

492: 492 5-(22,11,4816) (complement has $\lambda=7560$)

Alltop construction for design number 489

$PSL(3,4)+$

PGL(3,4)+ Alltop construction from 4-(21,10,4816)

PSL(3,4)+ Alltop construction from 4-(21,10,4816)

493: 493 4-(21,10,6048) (complement has $\lambda=6328$)

PSL(3,4)

derived from number 496

494: 494 4-(21,11,9504) (complement has $\lambda=9944$)

supplementary design of number 493

residual design of number 496

495: 495 4-(22,11,15552) (complement has $\lambda=16272$)

Tran van Trung construction with supplementary design for design number 493

design of number 496 with respect to smaller t

496: 496 5-(22,11,6048) (complement has $\lambda=6328$)

Alltop construction for design number 493

$PSL(3,4)+$ Alltop construction from 4-(21,10,6048)

497: 497 4-(21,10,5376) (complement has $\lambda=7000$)

PSL(3,4)

derived from number 500

498: 498 4-(21,11,8448) (complement has $\lambda=11000$)

supplementary design of number 497

residual design of number 500

499: 499 4-(22,11,13824) (complement has $\lambda=18000$)

Tran van Trung construction with supplementary design for design number 497

design of number 500 with respect to smaller t

500: 500 5-(22,11,5376) (complement has $\lambda=7000$)

Alltop construction for design number 497

$PSL(3,4)+$

PSL(3,4)+ Alltop construction from 4-(21,10,5376)

501: 501 4-(21,10,3360) (complement has $\lambda=9016$)

PSL(3,4)

derived from number 504

502: 502 4-(21,11,5280) (complement has $\lambda=14168$)

supplementary design of number 501

residual design of number 504

503: 503 4-(22,11,8640) (complement has $\lambda=23184$)

Tran van Trung construction with supplementary design for design number 501

design of number 504 with respect to smaller t

504: 504 5-(22,11,3360) (complement has $\lambda=9016$)

Alltop construction for design number 501

\cite{Kreher95} $PSL(3,4)+$ $PGL(2,19)++$Alltop construction from 4-(21,10,3360)

505: 505 4-(21,10,1456) (complement has $\lambda=10920$)

PSL(3,4)

derived from number 508

residual design of number 2091

506: 506 4-(21,11,2288) (complement has $\lambda=17160$)

supplementary design of number 505

residual design of number 508

507: 507 4-(22,11,3744) (complement has $\lambda=28080$)

Tran van Trung construction with supplementary design for design number 505

design of number 508 with respect to smaller t

residual design of number 10847

derived from number 10848

508: 508 5-(22,11,1456) (complement has $\lambda=10920$)

Alltop construction for design number 505

PSL(3,4)+ Alltop construction from 4-(21,10,1456)

\cite{Kreher95} $PSL(3,4)+$ $PGL(2,19)++$

509: 509 4-(21,10,4032) (complement has $\lambda=8344$)

PSL(3,4)

derived from number 512

510: 510 4-(21,11,6336) (complement has $\lambda=13112$)

supplementary design of number 509

residual design of number 512

511: 511 4-(22,11,10368) (complement has $\lambda=21456$)

Tran van Trung construction with supplementary design for design number 509

design of number 512 with respect to smaller t

512: 512 5-(22,11,4032) (complement has $\lambda=8344$)

Alltop construction for design number 509

$PSL(3,4)+$

\cite{Kreher95}

PSL(3,4)+ Alltop construction from 4-(21,10,4032)

513: 513 4-(21,10,1680) (complement has $\lambda=10696$)

PGL(3,4)

derived from number 516

residual design of number 2121

514: 514 4-(21,11,2640) (complement has $\lambda=16808$)

supplementary design of number 513

residual design of number 516

515: 515 4-(22,11,4320) (complement has $\lambda=27504$)

Tran van Trung construction with supplementary design for design number 513

design of number 516 with respect to smaller t

residual design of number 11046

derived from number 11047

516: 516 5-(22,11,1680) (complement has $\lambda=10696$)

Alltop construction for design number 513

PGL(3,4)+ Alltop construction from 4-(21,10,1680)

\cite{Kreher95} $PSL(3,4)+$ $PGL(2,19)++$

517: 517 4-(21,10,4368) (complement has $\lambda=8008$)

PGL(3,4)

derived from number 520

residual design of number 7836

518: 518 4-(21,11,6864) (complement has $\lambda=12584$)

supplementary design of number 517

residual design of number 520

519: 519 4-(22,11,11232) (complement has $\lambda=20592$)

Tran van Trung construction with supplementary design for design number 517

design of number 520 with respect to smaller t

residual design of number 2356

derived from number 2357

520: 520 5-(22,11,4368) (complement has $\lambda=8008$)

Alltop construction for design number 517

PGL(3,4)+ Alltop construction from 4-(21,10,4368)

521: 521 4-(21,10,3528) (complement has $\lambda=8848$)

PGL(3,4)

derived from number 524

522: 522 4-(21,11,5544) (complement has $\lambda=13904$)

supplementary design of number 521

residual design of number 524

523: 523 4-(22,11,9072) (complement has $\lambda=22752$)

Tran van Trung construction with supplementary design for design number 521

design of number 524 with respect to smaller t

524: 524 5-(22,11,3528) (complement has $\lambda=8848$)

Alltop construction for design number 521

PGL(3,4)+ Alltop construction from 4-(21,10,3528)

525: 525 4-(21,10,5880) (complement has $\lambda=6496$)

PGL(3,4)

derived from number 528

526: 526 4-(21,11,9240) (complement has $\lambda=10208$)

supplementary design of number 525

residual design of number 528

527: 527 4-(22,11,15120) (complement has $\lambda=16704$)

Tran van Trung construction with supplementary design for design number 525

design of number 528 with respect to smaller t

residual design of number 5720

derived from number 5721

528: 528 5-(22,11,5880) (complement has $\lambda=6496$)

Alltop construction for design number 525

$PGL(3,4)+$, $PGL(2,19)++$, Alltop construction from 4-(21,10,5880)

529: 529 4-(21,10,2688) (complement has $\lambda=9688$)

PGL(3,4)

derived from number 532

530: 530 4-(21,11,4224) (complement has $\lambda=15224$)

supplementary design of number 529

residual design of number 532

531: 531 4-(22,11,6912) (complement has $\lambda=24912$)

Tran van Trung construction with supplementary design for design number 529

design of number 532 with respect to smaller t

532: 532 5-(22,11,2688) (complement has $\lambda=9688$)

Alltop construction for design number 529

\cite{Kreher95}

PGL(3,4)+ Alltop construction from 4-(21,10,2688)

533: 533 4-(21,10,5208) (complement has $\lambda=7168$)

PGL(3,4)

derived from number 536

534: 534 4-(21,11,8184) (complement has $\lambda=11264$)

supplementary design of number 533

residual design of number 536

535: 535 4-(22,11,13392) (complement has $\lambda=18432$)

Tran van Trung construction with supplementary design for design number 533

design of number 536 with respect to smaller t

536: 536 5-(22,11,5208) (complement has $\lambda=7168$)

Alltop construction for design number 533

PGL(3,4)+ Alltop construction from 4-(21,10,5208)

537: 537 4-(21,10,4648) (complement has $\lambda=7728$)

PGL(3,4)

derived from number 540

538: 538 4-(21,11,7304) (complement has $\lambda=12144$)

supplementary design of number 537

residual design of number 540

539: 539 4-(22,11,11952) (complement has $\lambda=19872$)

Tran van Trung construction with supplementary design for design number 537

design of number 540 with respect to smaller t

540: 540 5-(22,11,4648) (complement has $\lambda=7728$)

Alltop construction for design number 537

$PSL(3,4)+$

PGL(3,4)+ Alltop construction from 4-(21,10,4648)

541: 541 4-(21,10,5656) (complement has $\lambda=6720$)

PGL(3,4)

derived from number 544

542: 542 4-(21,11,8888) (complement has $\lambda=10560$)

supplementary design of number 541

residual design of number 544

543: 543 4-(22,11,14544) (complement has $\lambda=17280$)

Tran van Trung construction with supplementary design for design number 541

design of number 544 with respect to smaller t

544: 544 5-(22,11,5656) (complement has $\lambda=6720$)

Alltop construction for design number 541

\cite{Kreher95}

$PGL(3,4)+$ Alltop construction from 4-(21,10,5656)

545: 545 4-(21,10,3976) (complement has $\lambda=8400$)

PGL(3,4)

derived from number 548

546: 546 4-(21,11,6248) (complement has $\lambda=13200$)

supplementary design of number 545

residual design of number 548

547: 547 4-(22,11,10224) (complement has $\lambda=21600$)

Tran van Trung construction with supplementary design for design number 545

design of number 548 with respect to smaller t

548: 548 5-(22,11,3976) (complement has $\lambda=8400$)

Alltop construction for design number 545

PGL(3,4)+ Alltop construction from 4-(21,10,3976)

549: 549 4-(21,10,2128) (complement has $\lambda=10248$)

PGL(3,4)

derived from number 552

550: 550 4-(21,11,3344) (complement has $\lambda=16104$)

supplementary design of number 549

residual design of number 552

551: 551 4-(22,11,5472) (complement has $\lambda=26352$)

Tran van Trung construction with supplementary design for design number 549

design of number 552 with respect to smaller t

552: 552 5-(22,11,2128) (complement has $\lambda=10248$)

Alltop construction for design number 549

PGL(3,4)+ Alltop construction from 4-(21,10,2128)

553: 553 4-(22,10,8064) (complement has $\lambda=10500$)

TvT: 4-(21,9,2688) $\cup$ 4-(21,10,5376)

554: 554 4-(22,10,9072) (complement has $\lambda=9492$)

TvT: 4-(21,9,3024) $\cup$ 4-(21,10,6048)

555: 555 4-(24,9,96) (complement has $\lambda=15408$)

TvT: 4-(23,8,24) $\cup$ 4-(23,9,72)

556: 556 4-(24,9,672) (complement has $\lambda=14832$)

TvT: 4-(23,8,168) $\cup$ 4-(23,9,504)

557: 557 4-(24,9,768) (complement has $\lambda=14736$)

TvT: 4-(23,8,192) $\cup$ 4-(23,9,576)

558: 558 4-(24,9,816) (complement has $\lambda=14688$)

TvT: 4-(23,8,204) $\cup$ 4-(23,9,612)

559: 559 4-(24,9,864) (complement has $\lambda=14640$)

TvT: 4-(23,8,216) $\cup$ 4-(23,9,648)

560: 560 4-(24,9,912) (complement has $\lambda=14592$)

TvT: 4-(23,8,228) $\cup$ 4-(23,9,684)

561: 561 4-(24,10,11040) (complement has $\lambda=27720$)

TvT: 4-(23,9,3312) $\cup$ 4-(23,10,7728)

residual design of number 8292

derived from number 8293

562: 562 4-(24,10,11220) (complement has $\lambda=27540$)

TvT: 4-(23,9,3366) $\cup$ 4-(23,10,7854)

563: 563 4-(24,10,11700) (complement has $\lambda=27060$)

TvT: 4-(23,9,3510) $\cup$ 4-(23,10,8190)

564: 564 4-(24,10,13020) (complement has $\lambda=25740$)

TvT: 4-(23,9,3906) $\cup$ 4-(23,10,9114)

565: 565 4-(24,10,13860) (complement has $\lambda=24900$)

TvT: 4-(23,9,4158) $\cup$ 4-(23,10,9702)

566: 566 4-(24,10,15000) (complement has $\lambda=23760$)

TvT: 4-(23,9,4500) $\cup$ 4-(23,10,10500)

residual design of number 8431

derived from number 8432

567: 567 4-(24,10,15180) (complement has $\lambda=23580$)

TvT: 4-(23,9,4554) $\cup$ 4-(23,10,10626)

568: 568 4-(24,10,15660) (complement has $\lambda=23100$)

TvT: 4-(23,9,4698) $\cup$ 4-(23,10,10962)

569: 569 4-(24,10,16320) (complement has $\lambda=22440$)

TvT: 4-(23,9,4896) $\cup$ 4-(23,10,11424)

570: 570 4-(25,6,30) (complement has $\lambda=180$)

\cite{KreherTechReport95}

571: 571 4-(25,6,60) (complement has $\lambda=150$)

\cite{KreherTechReport95}

572: 572 4-(25,7,140) (complement has $\lambda=1190$)

\cite{KreherTechReport95}

design of number 3849 with respect to smaller t

573: 573 4-(25,7,210) (complement has $\lambda=1120$)

\cite{KreherTechReport95}

design of number 3850 with respect to smaller t

derived from number 3956

574: 574 4-(25,9,126) (complement has $\lambda=20223$)

TvT: 4-(24,8,30) $\cup$ 4-(24,9,96)

575: 575 4-(25,9,882) (complement has $\lambda=19467$)

TvT: 4-(24,8,210) $\cup$ 4-(24,9,672)

576: 576 4-(25,9,1008) (complement has $\lambda=19341$)

TvT: 4-(24,8,240) $\cup$ 4-(24,9,768)

577: 577 4-(25,9,1134) (complement has $\lambda=19215$)

TvT: 4-(24,8,270) $\cup$ 4-(24,9,864)

578: 578 4-(25,9,1197) (complement has $\lambda=19152$)

TvT: 4-(24,8,285) $\cup$ 4-(24,9,912)

579: 579 4-(25,10,2352) (complement has $\lambda=51912$)

TvT: 4-(24,9,672) $\cup$ 4-(24,10,1680)

580: 580 4-(25,10,2688) (complement has $\lambda=51576$)

TvT: 4-(24,9,768) $\cup$ 4-(24,10,1920)

581: 581 4-(25,10,2856) (complement has $\lambda=51408$)

TvT: 4-(24,9,816) $\cup$ 4-(24,10,2040)

582: 582 4-(25,10,3024) (complement has $\lambda=51240$)

TvT: 4-(24,9,864) $\cup$ 4-(24,10,2160)

583: 583 4-(25,10,3192) (complement has $\lambda=51072$)

TvT: 4-(24,9,912) $\cup$ 4-(24,10,2280)

584: 584 4-(25,10,15456) (complement has $\lambda=38808$)

TvT: 4-(24,9,4416) $\cup$ 4-(24,10,11040)

residual design of number 8289

derived from number 8290

design of number 8292 with respect to smaller t

585: 585 4-(25,10,15708) (complement has $\lambda=38556$)

TvT: 4-(24,9,4488) $\cup$ 4-(24,10,11220)

586: 586 4-(25,10,16380) (complement has $\lambda=37884$)

TvT: 4-(24,9,4680) $\cup$ 4-(24,10,11700)

587: 587 4-(25,10,18228) (complement has $\lambda=36036$)

TvT: 4-(24,9,5208) $\cup$ 4-(24,10,13020)

588: 588 4-(25,10,19404) (complement has $\lambda=34860$)

TvT: 4-(24,9,5544) $\cup$ 4-(24,10,13860)

589: 589 4-(25,10,21000) (complement has $\lambda=33264$)

TvT: 4-(24,9,6000) $\cup$ 4-(24,10,15000)

residual design of number 8428

derived from number 8429

design of number 8431 with respect to smaller t

590: 590 4-(25,10,21252) (complement has $\lambda=33012$)

TvT: 4-(24,9,6072) $\cup$ 4-(24,10,15180)

591: 591 4-(25,10,21924) (complement has $\lambda=32340$)

TvT: 4-(24,9,6264) $\cup$ 4-(24,10,15660)

592: 592 4-(25,11,33120) (complement has $\lambda=83160$)

TvT: 4-(24,10,11040) $\cup$ 4-(24,11,22080)

residual design of number 8290

design of number 8293 with respect to smaller t

derived from number 11199

593: 593 4-(25,11,35100) (complement has $\lambda=81180$)

TvT: 4-(24,10,11700) $\cup$ 4-(24,11,23400)

594: 594 4-(25,11,41580) (complement has $\lambda=74700$)

TvT: 4-(24,10,13860) $\cup$ 4-(24,11,27720)

595: 595 4-(25,11,45000) (complement has $\lambda=71280$)

TvT: 4-(24,10,15000) $\cup$ 4-(24,11,30000)

residual design of number 8429

design of number 8432 with respect to smaller t

derived from number 11351

596: 596 4-(26,8,770) (complement has $\lambda=6545$)

TvT: 4-(25,7,140) $\cup$ 4-(25,8,630)

597: 597 4-(26,10,3234) (complement has $\lambda=71379$)

TvT: 4-(25,9,882) $\cup$ 4-(25,10,2352)

598: 598 4-(26,10,3696) (complement has $\lambda=70917$)

TvT: 4-(25,9,1008) $\cup$ 4-(25,10,2688)

599: 599 4-(26,10,4158) (complement has $\lambda=70455$)

TvT: 4-(25,9,1134) $\cup$ 4-(25,10,3024)

600: 600 4-(26,11,48576) (complement has $\lambda=121968$)

TvT: 4-(25,10,15456) $\cup$ 4-(25,11,33120)

residual design of number 8288

design of number 8290 with respect to smaller t

derived from number 11203

601: 601 4-(26,11,51480) (complement has $\lambda=119064$)

TvT: 4-(25,10,16380) $\cup$ 4-(25,11,35100)

602: 602 4-(26,11,60984) (complement has $\lambda=109560$)

TvT: 4-(25,10,19404) $\cup$ 4-(25,11,41580)

603: 603 4-(26,11,66000) (complement has $\lambda=104544$)

TvT: 4-(25,10,21000) $\cup$ 4-(25,11,45000)

residual design of number 8427

design of number 8429 with respect to smaller t

derived from number 11352

604: 604 4-(26,12,91080) (complement has $\lambda=228690$)

TvT: 4-(25,11,33120) $\cup$ 4-(25,12,57960)

design of number 11199 with respect to smaller t

residual design of number 11203

derived from number 11209

605: 605 4-(26,12,96525) (complement has $\lambda=223245$)

TvT: 4-(25,11,35100) $\cup$ 4-(25,12,61425)

606: 606 4-(27,9,3542) (complement has $\lambda=30107$)

TvT: 4-(26,8,770) $\cup$ 4-(26,9,2772)

607: 607 4-(27,12,139656) (complement has $\lambda=350658$)

TvT: 4-(26,11,48576) $\cup$ 4-(26,12,91080)

design of number 11203 with respect to smaller t

derived from number 11239

residual design of number 11357

608: 608 4-(27,12,148005) (complement has $\lambda=342309$)

TvT: 4-(26,11,51480) $\cup$ 4-(26,12,96525)

609: 609 4-(27,13,102465) (complement has $\lambda=714725$)

TvT: 4-(26,12,40095) $\cup$ 4-(26,13,62370)

derived from number 611

design of number 626 with respect to smaller t

residual design of number 631

610: 610 4-(27,14,143451) (complement has $\lambda=1000615$)

supplementary design of number 609

residual design of number 611

design of number 627 with respect to smaller t

611: 611 5-(28,14,102465) (complement has $\lambda=714725$)

Alltop construction for design number 609

Tran van Trung construction with supplementary design for design number 626

612: 612 4-(27,13,232760) (complement has $\lambda=584430$)

TvT: 4-(26,12,91080) $\cup$ 4-(26,13,141680)

derived from number 615

design of number 11209 with respect to smaller t

residual design of number 11239

613: 613 4-(27,14,325864) (complement has $\lambda=818202$)

supplementary design of number 612

residual design of number 615

design of number 11210 with respect to smaller t

614: 614 4-(28,14,558624) (complement has $\lambda=1402632$)

Tran van Trung construction with supplementary design for design number 612

design of number 615 with respect to smaller t

TvT: 4-(27,13,232760) $\cup$ 4-(27,14,325864)

residual design of number 11259

derived from number 11260

615: 615 5-(28,14,232760) (complement has $\lambda=584430$)

Alltop construction for design number 612

Tran van Trung construction with supplementary design for design number 11209

616: 616 4-(28,7,704) (complement has $\lambda=1320$)

TvT: 4-(27,6,88) $\cup$ 4-(27,7,616)

617: 617 4-(28,13,372416) (complement has $\lambda=935088$)

TvT: 4-(27,12,139656) $\cup$ 4-(27,13,232760)

design of number 11239 with respect to smaller t

derived from number 11259

residual design of number 11411

618: 618 4-(29,8,4400) (complement has $\lambda=8250$)

TvT: 4-(28,7,704) $\cup$ 4-(28,8,3696)

619: 619 4-(29,14,931040) (complement has $\lambda=2337720$)

TvT: 4-(28,13,372416) $\cup$ 4-(28,14,558624)

derived from number 622

design of number 11259 with respect to smaller t

residual design of number 11412

620: 620 4-(29,15,1269600) (complement has $\lambda=3187800$)

supplementary design of number 619

residual design of number 622

design of number 11260 with respect to smaller t

621: 621 4-(30,15,2200640) (complement has $\lambda=5525520$)

Tran van Trung construction with supplementary design for design number 619

design of number 622 with respect to smaller t

residual design of number 11413

derived from number 11414

622: 622 5-(30,15,931040) (complement has $\lambda=2337720$)

Alltop construction for design number 619

Tran van Trung construction with supplementary design for design number 11259

623: 623 4-(37,7,1584) (complement has $\lambda=3872$)

TvT: 4-(36,6,144) $\cup$ 4-(36,7,1440)

624: 624 4-(38,8,13464) (complement has $\lambda=32912$)

TvT: 4-(37,7,1584) $\cup$ 4-(37,8,11880)

625: 625 4-(39,9,94248) (complement has $\lambda=230384$)

TvT: 4-(38,8,13464) $\cup$ 4-(38,9,80784)

626: 626 5-(27,13,40095) (complement has $\lambda=279675$)

TvT: 5-(26,12,14580) $\cup$ 5-(26,13,25515)

627: 627 5-(27,14,62370) (complement has $\lambda=435050$)

supplementary design of number 626

628: 628 4-(26,12,40095) (complement has $\lambda=279675$)

derived from number 626

residual design of number 6645

design of number 6647 with respect to smaller t

629: 629 4-(26,13,62370) (complement has $\lambda=435050$)

residual design of number 626

derived from number 627

Tran van Trung construction with supplementary design for design number 6651

design of number 6653 with respect to smaller t

630: 630 4-(26,14,81081) (complement has $\lambda=565565$)

residual design of number 627

631: 631 5-(28,13,61479) (complement has $\lambda=428835$)

TvT: 5-(27,12,21384) $\cup$ 5-(27,13,40095)

632: 632 4-(27,12,61479) (complement has $\lambda=428835$)

derived from number 631

design of number 6645 with respect to smaller t

633: 633 4-(24,9,1152) (complement has $\lambda=14352$)

TvT: 4-(23,8,288) $\cup$ 4-(23,9,864)

634: 634 4-(24,10,13200) (complement has $\lambda=25560$)

TvT: 4-(23,9,3960) $\cup$ 4-(23,10,9240)

residual design of number 8370

derived from number 8371

635: 635 4-(24,10,18300) (complement has $\lambda=20460$)

TvT: 4-(23,9,5490) $\cup$ 4-(23,10,12810)

636: 636 4-(24,10,19140) (complement has $\lambda=19620$)

TvT: 4-(23,9,5742) $\cup$ 4-(23,10,13398)

637: 637 4-(25,9,1512) (complement has $\lambda=18837$)

TvT: 4-(24,8,360) $\cup$ 4-(24,9,1152)

638: 638 4-(25,10,336) (complement has $\lambda=53928$)

TvT: 4-(24,9,96) $\cup$ 4-(24,10,240)

639: 639 4-(25,10,4032) (complement has $\lambda=50232$)

TvT: 4-(24,9,1152) $\cup$ 4-(24,10,2880)

640: 640 4-(25,10,20748) (complement has $\lambda=33516$)

TvT: 4-(24,9,5928) $\cup$ 4-(24,10,14820)

641: 641 4-(25,10,22848) (complement has $\lambda=31416$)

TvT: 4-(24,9,6528) $\cup$ 4-(24,10,16320)

642: 642 4-(25,10,25620) (complement has $\lambda=28644$)

TvT: 4-(24,9,7320) $\cup$ 4-(24,10,18300)

643: 643 4-(25,10,26796) (complement has $\lambda=27468$)

TvT: 4-(24,9,7656) $\cup$ 4-(24,10,19140)

644: 644 4-(25,11,33660) (complement has $\lambda=82620$)

TvT: 4-(24,10,11220) $\cup$ 4-(24,11,22440)

645: 645 4-(25,11,39600) (complement has $\lambda=76680$)

TvT: 4-(24,10,13200) $\cup$ 4-(24,11,26400)

residual design of number 8368

design of number 8371 with respect to smaller t

derived from number 11200

646: 646 4-(25,11,46980) (complement has $\lambda=69300$)

TvT: 4-(24,10,15660) $\cup$ 4-(24,11,31320)

647: 647 4-(25,11,48960) (complement has $\lambda=67320$)

TvT: 4-(24,10,16320) $\cup$ 4-(24,11,32640)

648: 648 4-(25,11,54900) (complement has $\lambda=61380$)

TvT: 4-(24,10,18300) $\cup$ 4-(24,11,36600)

649: 649 4-(25,12,101115) (complement has $\lambda=102375$)

TvT: 4-(24,11,38520) $\cup$ 4-(24,12,62595)

derived from number 651

design of number 711 with respect to smaller t

residual design of number 716