# 13500: 7-(31,15,259578)

- clan: 15-(32,16,6), 7 times reduced t, 1 times derived
- Tran van Trung construction (right) for 7-(30,14,86526) (# 13499) : der= 7-(30,14,86526) and res= 7-(30,15,173052) - the given design is the derived.

- clan: 15-(32,16,8), 7 times derived, 1 times residual
- PGL(2,23) (>= 15335 isom. types) \cite{Bettenetal98b}

- clan: 15-(32,16,8), 1 times reduced t, 7 times derived
- Tran van Trung construction (left) for 7-(24,9,64) (# 13501) : der= 7-(24,8,8) and res= 7-(24,9,64) - the given design is the residual.
- (Tran van Trung construction): 7-(24,8,8) together with 7-(24,9,64) \cite{Bettenetal98b} (>= 7951408124200930620 isomorphism types )

- clan: 15-(32,16,8), 1 times reduced t, 6 times derived, 1 times residual
- Tran van Trung construction (right) for 7-(24,9,64) (# 13501) : der= 7-(24,9,64) and res= 7-(24,10,320) - the given design is the derived.
- (Tran van Trung construction): 7-(24,9,64) together with 7-(24,10,320) \cite{Bettenetal97b}(>=5161263324118902274 isomorphism types )

- clan: 15-(32,16,8), 2 times reduced t, 6 times derived
- Tran van Trung construction (right) for 7-(25,9,72) (# 13502) : der= 7-(25,9,72) and res= 7-(25,10,384) - the given design is the derived.
- Tran van Trung construction (left) for 7-(25,10,384) (# 13503) : der= 7-(25,9,72) and res= 7-(25,10,384) - the given design is the residual.
- (Tran van Trung construction): 7-(25,9,72) together with 7-(25,10,384) \cite{Bettenetal97b}(>= $ 10^{62}$ isomorphism types)

- clan: 13-(30,15,44), 1 times reduced t, 4 times derived, 1 times residual
- $PGL(2,23)+$ >1 isomorphism types

- clan: 13-(30,15,44), 2 times reduced t, 4 times derived, 1 times residual
- design 7-(25,11,990) (# 13505) with respect to smaller t
- Tran van Trung construction (right) for 6-(24,10,990) (# 13507) : der= 6-(24,10,990) and res= 6-(24,11,2772) - the given design is the derived.

- clan: 13-(30,15,44), 1 times reduced t, 5 times derived, 1 times residual
- derived from 7-(25,11,990) (# 13505)

- clan: 13-(30,15,92), 2 times reduced t, 4 times derived, 1 times residual
- supplementary design of 7-(25,11,990) (# 13505) with respect to smaller t
- Tran van Trung construction (right) for 6-(24,10,2070) (# 13509) : der= 6-(24,10,2070) and res= 6-(24,11,5796) - the given design is the derived.
- Tran van Trung construction (left) for 6-(24,11,5796) (# 13510) : der= 6-(24,10,2070) and res= 6-(24,11,5796) - the given design is the residual.

- clan: 13-(30,15,92), 1 times reduced t, 5 times derived, 1 times residual
- derived from supplementary of 7-(25,11,990) (# 13505)

- clan: 13-(30,15,92), 1 times reduced t, 4 times derived, 2 times residual
- residual design of supplementary of 7-(25,11,990) (# 13505)

- clan: 13-(30,15,92), 3 times reduced t, 4 times derived, 1 times residual
- supplementary design of 6-(25,11,3762) (# 13506) with respect to smaller t
- design 6-(25,11,7866) (# 13508) with respect to smaller t
- Tran van Trung construction (right) for 5-(24,10,7866) (# 13512) : der= 5-(24,10,7866) and res= 5-(24,11,18354) - the given design is the derived.
- derived from supplementary of 6-(26,12,12540) (# 13513)
- derived from 6-(26,12,26220) (# 13515)

- clan: 13-(30,15,92), 2 times reduced t, 5 times derived, 1 times residual
- derived from supplementary of 6-(25,11,3762) (# 13506)
- supplementary design of 6-(24,10,990) (# 13507) with respect to smaller t
- derived from 6-(25,11,7866) (# 13508)
- design 6-(24,10,2070) (# 13509) with respect to smaller t
- Tran van Trung construction (right) for 5-(23,9,2070) (# 13514) : der= 5-(23,9,2070) and res= 5-(23,10,5796) - the given design is the derived.

- clan: 13-(30,15,44), 3 times reduced t, 3 times derived, 1 times residual
- Tran van Trung construction (right) for 6-(25,11,3762) (# 13506) : der= 6-(25,11,3762) and res= 6-(25,12,8778) - the given design is the derived.

- clan: 13-(30,15,92), 1 times reduced t, 6 times derived, 1 times residual
- derived from supplementary of 6-(24,10,990) (# 13507)
- derived from 6-(24,10,2070) (# 13509)

- clan: 13-(30,15,92), 3 times reduced t, 3 times derived, 1 times residual
- Tran van Trung construction (right) for 6-(25,11,7866) (# 13508) : der= 6-(25,11,7866) and res= 6-(25,12,18354) - the given design is the derived.

- clan: 13-(30,15,92), 4 times reduced t, 3 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(25,11,26220) (# 13511) : der= 5-(25,11,26220) and res= 5-(25,12,52440) - the given design is the derived.
- supplementary design of 6-(26,12,12540) (# 13513) with respect to smaller t
- design 6-(26,12,26220) (# 13515) with respect to smaller t
- derived from supplementary of 6-(27,13,37620) (# 13517)
- derived from 6-(27,13,78660) (# 13518)

- clan: 13-(30,15,44), 4 times reduced t, 2 times derived, 1 times residual
- Tran van Trung construction (right) for 6-(26,12,12540) (# 13513) : der= 6-(26,12,12540) and res= 6-(26,13,25080) - the given design is the derived.
- derived from 7-(28,14,37620) (# 13521)
- derived from supplementary of 7-(28,14,78660) (# 13523)

- clan: 13-(30,15,92), 4 times reduced t, 2 times derived, 1 times residual
- Tran van Trung construction (right) for 6-(26,12,26220) (# 13515) : der= 6-(26,12,26220) and res= 6-(26,13,52440) - the given design is the derived.
- derived from supplementary of 7-(28,14,37620) (# 13521)
- derived from 7-(28,14,78660) (# 13523)

- clan: 13-(30,15,92), 5 times reduced t, 2 times derived, 1 times residual
- Tran van Trung construction (right) for 5-(26,12,78660) (# 13516) : der= 5-(26,12,78660) and res= 5-(26,13,137655) - the given design is the derived.
- supplementary design of 6-(27,13,37620) (# 13517) with respect to smaller t
- design 6-(27,13,78660) (# 13518) with respect to smaller t
- derived from supplementary of 6-(28,14,103455) (# 13520)
- derived from 6-(28,14,216315) (# 13522)

- clan: 13-(30,15,44), 5 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction with complementary design for 6-(27,13,37620) (# 13517)
- design 7-(28,14,37620) (# 13521) with respect to smaller t
- supplementary design of 7-(28,14,78660) (# 13523) with respect to smaller t
- Tran van Trung construction (left) for 6-(27,14,65835) (# 13527) : der= 6-(27,13,37620) and res= 6-(27,14,65835) - the given design is the residual.

- clan: 13-(30,15,44), 4 times reduced t, 1 times derived, 1 times residual
- Alltop construction for design 6-(27,13,37620) (# 13517)

- clan: 13-(30,15,92), 5 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction with complementary design for 6-(27,13,78660) (# 13518)
- supplementary design of 7-(28,14,37620) (# 13521) with respect to smaller t
- design 7-(28,14,78660) (# 13523) with respect to smaller t
- Tran van Trung construction (left) for 6-(27,14,137655) (# 13528) : der= 6-(27,13,78660) and res= 6-(27,14,137655) - the given design is the residual.

- clan: 13-(30,15,92), 4 times reduced t, 1 times derived, 1 times residual
- Alltop construction for design 6-(27,13,78660) (# 13518)

- clan: 13-(30,15,92), 6 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction with complementary design for 5-(27,13,216315) (# 13519)
- supplementary design of 6-(28,14,103455) (# 13520) with respect to smaller t
- design 6-(28,14,216315) (# 13522) with respect to smaller t
- Tran van Trung construction (left) for 5-(27,14,336490) (# 13526) : der= 5-(27,13,216315) and res= 5-(27,14,336490) - the given design is the residual.

- clan: 13-(30,15,44), 5 times reduced t, 1 times derived, 2 times residual
- residual design of 6-(28,14,103455) (# 13520)
- residual design of supplementary of 6-(28,14,216315) (# 13522)
- design 6-(27,14,65835) (# 13527) with respect to smaller t
- supplementary design of 6-(27,14,137655) (# 13528) with respect to smaller t
- Tran van Trung construction (left) for 5-(26,14,95095) (# 13529) : der= 5-(26,13,65835) and res= 5-(26,14,95095) - the given design is the residual.

- clan: 13-(30,15,92), 5 times reduced t, 1 times derived, 2 times residual
- residual design of supplementary of 6-(28,14,103455) (# 13520)
- residual design of 6-(28,14,216315) (# 13522)
- supplementary design of 6-(27,14,65835) (# 13527) with respect to smaller t
- design 6-(27,14,137655) (# 13528) with respect to smaller t
- Tran van Trung construction (left) for 5-(26,14,198835) (# 13530) : der= 5-(26,13,137655) and res= 5-(26,14,198835) - the given design is the residual.

- clan: 13-(30,15,44), 4 times reduced t, 1 times derived, 2 times residual
- residual design of 7-(28,14,37620) (# 13521)
- residual design of supplementary of 7-(28,14,78660) (# 13523)

- clan: 13-(30,15,92), 4 times reduced t, 1 times derived, 2 times residual
- residual design of supplementary of 7-(28,14,37620) (# 13521)
- residual design of 7-(28,14,78660) (# 13523)

- clan: 13-(30,15,44), 4 times reduced t, 1 times derived, 3 times residual
- residual design of 6-(27,14,65835) (# 13527)
- residual design of supplementary of 6-(27,14,137655) (# 13528)

- clan: 13-(30,15,92), 4 times reduced t, 1 times derived, 3 times residual
- residual design of supplementary of 6-(27,14,65835) (# 13527)
- residual design of 6-(27,14,137655) (# 13528)

- clan: 13-(32,16,270), 5 times derived, 1 times residual
- $PGL(2,25)$( >= 3 isom. types)

- clan: 13-(32,16,270), 1 times reduced t, 5 times derived, 1 times residual
- design 7-(26,11,1080) (# 13531) with respect to smaller t
- Tran van Trung construction (right) for 6-(25,10,1080) (# 13533) : der= 6-(25,10,1080) and res= 6-(25,11,3240) - the given design is the derived.
- Tran van Trung construction (left) for 6-(25,11,3240) (# 13534) : der= 6-(25,10,1080) and res= 6-(25,11,3240) - the given design is the residual.
- residual design of 7-(27,11,1350) (# 13912)
- derived from 7-(27,12,4320) (# 17775)

- clan: 13-(32,16,270), 6 times derived, 1 times residual
- derived from 7-(26,11,1080) (# 13531)

- clan: 13-(32,16,270), 5 times derived, 2 times residual
- residual design of 7-(26,11,1080) (# 13531)
- derived from 7-(26,12,3240) (# 17762)
- derived from supplementary of 7-(26,12,8388) (# 17767)

- clan: 13-(32,16,699), 1 times reduced t, 5 times derived, 1 times residual
- supplementary design of 7-(26,11,1080) (# 13531) with respect to smaller t
- Tran van Trung construction (right) for 6-(25,10,2796) (# 13536) : der= 6-(25,10,2796) and res= 6-(25,11,8388) - the given design is the derived.
- Tran van Trung construction (left) for 6-(25,11,8388) (# 13537) : der= 6-(25,10,2796) and res= 6-(25,11,8388) - the given design is the residual.
- residual design of supplementary of 7-(27,11,1350) (# 13912)
- derived from supplementary of 7-(27,12,4320) (# 17775)

- clan: 13-(32,16,699), 6 times derived, 1 times residual
- derived from supplementary of 7-(26,11,1080) (# 13531)

- clan: 13-(32,16,699), 5 times derived, 2 times residual
- residual design of supplementary of 7-(26,11,1080) (# 13531)
- derived from supplementary of 7-(26,12,3240) (# 17762)
- derived from 7-(26,12,8388) (# 17767)

- clan: 13-(32,16,270), 1 times reduced t, 5 times derived, 2 times residual
- residual design of 6-(26,11,4320) (# 13532)
- design 6-(25,11,3240) (# 13534) with respect to smaller t
- residual design of supplementary of 6-(26,11,11184) (# 13535)
- supplementary design of 6-(25,11,8388) (# 13537) with respect to smaller t
- Tran van Trung construction (left) for 5-(24,11,7560) (# 13542) : der= 5-(24,10,3240) and res= 5-(24,11,7560) - the given design is the residual.
- derived from 6-(26,12,10800) (# 17769)
- derived from supplementary of 6-(26,12,27960) (# 17771)

- clan: 13-(32,16,699), 1 times reduced t, 5 times derived, 2 times residual
- residual design of supplementary of 6-(26,11,4320) (# 13532)
- supplementary design of 6-(25,11,3240) (# 13534) with respect to smaller t
- residual design of 6-(26,11,11184) (# 13535)
- design 6-(25,11,8388) (# 13537) with respect to smaller t
- Tran van Trung construction (right) for 5-(24,10,8388) (# 13541) : der= 5-(24,10,8388) and res= 5-(24,11,19572) - the given design is the derived.
- Tran van Trung construction (left) for 5-(24,11,19572) (# 13543) : der= 5-(24,10,8388) and res= 5-(24,11,19572) - the given design is the residual.
- derived from supplementary of 6-(26,12,10800) (# 17769)
- derived from 6-(26,12,27960) (# 17771)

- clan: 13-(32,16,699), 7 times derived, 1 times residual
- derived from supplementary of 6-(25,10,1080) (# 13533)
- derived from 6-(25,10,2796) (# 13536)

- clan: 13-(32,16,699), 6 times derived, 2 times residual
- residual design of supplementary of 6-(25,10,1080) (# 13533)
- derived from supplementary of 6-(25,11,3240) (# 13534)
- residual design of 6-(25,10,2796) (# 13536)
- derived from 6-(25,11,8388) (# 13537)

- clan: 13-(32,16,270), 5 times derived, 3 times residual
- residual design of 6-(25,11,3240) (# 13534)
- residual design of supplementary of 6-(25,11,8388) (# 13537)
- derived from 6-(25,12,7560) (# 17773)
- derived from supplementary of 6-(25,12,19572) (# 17774)

- clan: 13-(32,16,699), 5 times derived, 3 times residual
- residual design of supplementary of 6-(25,11,3240) (# 13534)
- residual design of 6-(25,11,8388) (# 13537)
- derived from supplementary of 6-(25,12,7560) (# 17773)
- derived from 6-(25,12,19572) (# 17774)

- clan: 13-(32,16,270), 1 times reduced t, 4 times derived, 3 times residual
- Tran van Trung construction (right) for 5-(24,11,7560) (# 13542) : der= 5-(24,11,7560) and res= 5-(24,12,14040) - the given design is the derived.
- residual design of 6-(26,12,10800) (# 17769)
- derived from 6-(26,13,21600) (# 17770)
- residual design of supplementary of 6-(26,12,27960) (# 17771)
- derived from supplementary of 6-(26,13,55920) (# 17772)
- design 6-(25,12,7560) (# 17773) with respect to smaller t
- supplementary design of 6-(25,12,19572) (# 17774) with respect to smaller t

- clan: 13-(32,16,294), 5 times derived, 1 times residual
- $P\Gamma L(2,25)$(>=1 isom. type)

- clan: 13-(32,16,294), 1 times reduced t, 5 times derived, 1 times residual
- design 7-(26,11,1176) (# 13545) with respect to smaller t
- Tran van Trung construction (right) for 6-(25,10,1176) (# 13547) : der= 6-(25,10,1176) and res= 6-(25,11,3528) - the given design is the derived.
- Tran van Trung construction (left) for 6-(25,11,3528) (# 13548) : der= 6-(25,10,1176) and res= 6-(25,11,3528) - the given design is the residual.
- residual design of 7-(27,11,1470) (# 13950)

- clan: 13-(32,16,294), 6 times derived, 1 times residual
- derived from 7-(26,11,1176) (# 13545)

- clan: 13-(32,16,294), 5 times derived, 2 times residual
- residual design of 7-(26,11,1176) (# 13545)

- clan: 13-(32,16,675), 1 times reduced t, 5 times derived, 1 times residual
- supplementary design of 7-(26,11,1176) (# 13545) with respect to smaller t
- Tran van Trung construction (right) for 6-(25,10,2700) (# 13550) : der= 6-(25,10,2700) and res= 6-(25,11,8100) - the given design is the derived.
- Tran van Trung construction (left) for 6-(25,11,8100) (# 13551) : der= 6-(25,10,2700) and res= 6-(25,11,8100) - the given design is the residual.
- residual design of supplementary of 7-(27,11,1470) (# 13950)

- clan: 13-(32,16,675), 6 times derived, 1 times residual
- derived from supplementary of 7-(26,11,1176) (# 13545)

- clan: 13-(32,16,675), 5 times derived, 2 times residual
- residual design of supplementary of 7-(26,11,1176) (# 13545)

- clan: 13-(32,16,294), 1 times reduced t, 5 times derived, 2 times residual
- residual design of 6-(26,11,4704) (# 13546)
- design 6-(25,11,3528) (# 13548) with respect to smaller t
- residual design of supplementary of 6-(26,11,10800) (# 13549)
- supplementary design of 6-(25,11,8100) (# 13551) with respect to smaller t
- Tran van Trung construction (left) for 5-(24,11,8232) (# 13556) : der= 5-(24,10,3528) and res= 5-(24,11,8232) - the given design is the residual.

- clan: 13-(32,16,675), 1 times reduced t, 5 times derived, 2 times residual
- residual design of supplementary of 6-(26,11,4704) (# 13546)
- supplementary design of 6-(25,11,3528) (# 13548) with respect to smaller t
- residual design of 6-(26,11,10800) (# 13549)
- design 6-(25,11,8100) (# 13551) with respect to smaller t
- Tran van Trung construction (right) for 5-(24,10,8100) (# 13555) : der= 5-(24,10,8100) and res= 5-(24,11,18900) - the given design is the derived.
- Tran van Trung construction (left) for 5-(24,11,18900) (# 13557) : der= 5-(24,10,8100) and res= 5-(24,11,18900) - the given design is the residual.

- clan: 13-(32,16,675), 7 times derived, 1 times residual
- derived from supplementary of 6-(25,10,1176) (# 13547)
- derived from 6-(25,10,2700) (# 13550)

- clan: 13-(32,16,675), 6 times derived, 2 times residual
- residual design of supplementary of 6-(25,10,1176) (# 13547)
- derived from supplementary of 6-(25,11,3528) (# 13548)
- residual design of 6-(25,10,2700) (# 13550)
- derived from 6-(25,11,8100) (# 13551)

- clan: 13-(32,16,294), 5 times derived, 3 times residual
- residual design of 6-(25,11,3528) (# 13548)
- residual design of supplementary of 6-(25,11,8100) (# 13551)

- clan: 13-(32,16,675), 5 times derived, 3 times residual
- residual design of supplementary of 6-(25,11,3528) (# 13548)
- residual design of 6-(25,11,8100) (# 13551)

- clan: 13-(32,16,294), 1 times reduced t, 4 times derived, 3 times residual
- Tran van Trung construction (right) for 5-(24,11,8232) (# 13556) : der= 5-(24,11,8232) and res= 5-(24,12,15288) - the given design is the derived.

- clan: 13-(32,16,294), 2 times reduced t, 3 times derived, 3 times residual
- Tran van Trung construction with complementary design for 5-(25,12,23520) (# 13558)
- residual design of 6-(27,13,35280) (# 15575)
- derived from 6-(27,14,61740) (# 15576)
- residual design of supplementary of 6-(27,13,81000) (# 15578)
- derived from supplementary of 6-(27,14,141750) (# 15579)

- clan: 13-(32,16,294), 2 times reduced t, 4 times derived, 2 times residual
- Tran van Trung construction (left) for 5-(25,12,23520) (# 13558) : der= 5-(25,11,11760) and res= 5-(25,12,23520) - the given design is the residual.
- derived from 6-(27,13,35280) (# 15575)
- derived from supplementary of 6-(27,13,81000) (# 15578)

- clan: 13-(32,16,294), 3 times reduced t, 3 times derived, 2 times residual
- Tran van Trung construction (left) for 5-(26,13,61740) (# 13559) : der= 5-(26,12,35280) and res= 5-(26,13,61740) - the given design is the residual.
- Tran van Trung construction (right) for 5-(26,12,35280) (# 13560) : der= 5-(26,12,35280) and res= 5-(26,13,61740) - the given design is the derived.
- derived from 6-(28,14,97020) (# 15574)
- design 6-(27,13,35280) (# 15575) with respect to smaller t
- derived from supplementary of 6-(28,14,222750) (# 15577)
- supplementary design of 6-(27,13,81000) (# 15578) with respect to smaller t

- clan: 13-(32,16,294), 3 times reduced t, 4 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(26,12,35280) (# 13560) : der= 5-(26,11,16464) and res= 5-(26,12,35280) - the given design is the residual.

- clan: 13-(32,16,294), 4 times reduced t, 2 times derived, 2 times residual
- Tran van Trung construction with complementary design for 5-(27,13,97020) (# 13561)
- design 6-(28,14,97020) (# 15574) with respect to smaller t
- supplementary design of 6-(28,14,222750) (# 15577) with respect to smaller t
- Tran van Trung construction (left) for 5-(27,14,150920) (# 15580) : der= 5-(27,13,97020) and res= 5-(27,14,150920) - the given design is the residual.

- clan: 13-(32,16,294), 4 times reduced t, 3 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(27,13,97020) (# 13561) : der= 5-(27,12,51744) and res= 5-(27,13,97020) - the given design is the residual.
- Tran van Trung construction (right) for 5-(27,12,51744) (# 13562) : der= 5-(27,12,51744) and res= 5-(27,13,97020) - the given design is the derived.

- clan: 13-(32,16,294), 4 times reduced t, 4 times derived
- Tran van Trung construction (left) for 5-(27,12,51744) (# 13562) : der= 5-(27,11,22638) and res= 5-(27,12,51744) - the given design is the residual.

- clan: 13-(32,16,294), 5 times reduced t, 2 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,14,247940) (# 13563) : der= 5-(28,13,148764) and res= 5-(28,14,247940) - the given design is the residual.
- Tran van Trung construction (right) for 5-(28,13,148764) (# 13564) : der= 5-(28,13,148764) and res= 5-(28,14,247940) - the given design is the derived.

- clan: 13-(32,16,294), 5 times reduced t, 3 times derived
- Tran van Trung construction (left) for 5-(28,13,148764) (# 13564) : der= 5-(28,12,74382) and res= 5-(28,13,148764) - the given design is the residual.
- Tran van Trung construction (right) for 5-(28,12,74382) (# 13565) : der= 5-(28,12,74382) and res= 5-(28,13,148764) - the given design is the derived.

- clan: 13-(32,16,294), 6 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction with complementary design for 5-(29,14,396704) (# 13566)

- clan: 13-(32,16,294), 6 times reduced t, 2 times derived
- Tran van Trung construction (left) for 5-(29,14,396704) (# 13566) : der= 5-(29,13,223146) and res= 5-(29,14,396704) - the given design is the residual.
- Tran van Trung construction (right) for 5-(29,13,223146) (# 13567) : der= 5-(29,13,223146) and res= 5-(29,14,396704) - the given design is the derived.

- clan: 13-(32,16,294), 7 times reduced t, 1 times derived
- Tran van Trung construction (left) for 5-(30,15,991760) (# 13568) : der= 5-(30,14,619850) and res= 5-(30,15,991760) - the given design is the residual.
- Tran van Trung construction (right) for 5-(30,14,619850) (# 13569) : der= 5-(30,14,619850) and res= 5-(30,15,991760) - the given design is the derived.

- clan: 13-(32,16,294), 8 times reduced t
- Tran van Trung construction with complementary design for 5-(31,15,1611610) (# 13570)

- clan: 13-(32,16,339), 5 times derived, 1 times residual
- $P\Gamma L(2,25)$(>=1 isom. type)

- clan: 13-(32,16,339), 1 times reduced t, 5 times derived, 1 times residual
- design 7-(26,11,1356) (# 13572) with respect to smaller t
- Tran van Trung construction (right) for 6-(25,10,1356) (# 13574) : der= 6-(25,10,1356) and res= 6-(25,11,4068) - the given design is the derived.
- Tran van Trung construction (left) for 6-(25,11,4068) (# 13575) : der= 6-(25,10,1356) and res= 6-(25,11,4068) - the given design is the residual.

- clan: 13-(32,16,339), 6 times derived, 1 times residual
- derived from 7-(26,11,1356) (# 13572)

- clan: 13-(32,16,339), 5 times derived, 2 times residual
- residual design of 7-(26,11,1356) (# 13572)

- clan: 13-(32,16,630), 1 times reduced t, 5 times derived, 1 times residual
- supplementary design of 7-(26,11,1356) (# 13572) with respect to smaller t
- Tran van Trung construction (right) for 6-(25,10,2520) (# 13577) : der= 6-(25,10,2520) and res= 6-(25,11,7560) - the given design is the derived.
- Tran van Trung construction (left) for 6-(25,11,7560) (# 13578) : der= 6-(25,10,2520) and res= 6-(25,11,7560) - the given design is the residual.

- clan: 13-(32,16,630), 6 times derived, 1 times residual
- derived from supplementary of 7-(26,11,1356) (# 13572)

- clan: 13-(32,16,630), 5 times derived, 2 times residual
- residual design of supplementary of 7-(26,11,1356) (# 13572)

- clan: 13-(32,16,339), 2 times reduced t, 5 times derived, 1 times residual
- design 6-(26,11,5424) (# 13573) with respect to smaller t
- supplementary design of 6-(26,11,10080) (# 13576) with respect to smaller t
- Tran van Trung construction (left) for 5-(25,11,13560) (# 13580) : der= 5-(25,10,5424) and res= 5-(25,11,13560) - the given design is the residual.
- residual design of 6-(27,11,7119) (# 13583)
- derived from 6-(27,12,18984) (# 15296)
- derived from supplementary of 6-(27,12,35280) (# 15299)

- clan: 13-(32,16,339), 1 times reduced t, 5 times derived, 2 times residual
- residual design of 6-(26,11,5424) (# 13573)
- design 6-(25,11,4068) (# 13575) with respect to smaller t
- residual design of supplementary of 6-(26,11,10080) (# 13576)
- supplementary design of 6-(25,11,7560) (# 13578) with respect to smaller t
- Tran van Trung construction (left) for 5-(24,11,9492) (# 13586) : der= 5-(24,10,4068) and res= 5-(24,11,9492) - the given design is the residual.

- clan: 13-(32,16,630), 2 times reduced t, 5 times derived, 1 times residual
- supplementary design of 6-(26,11,5424) (# 13573) with respect to smaller t
- design 6-(26,11,10080) (# 13576) with respect to smaller t
- Tran van Trung construction (left) for 5-(25,11,25200) (# 13582) : der= 5-(25,10,10080) and res= 5-(25,11,25200) - the given design is the residual.
- residual design of supplementary of 6-(27,11,7119) (# 13583)
- derived from supplementary of 6-(27,12,18984) (# 15296)
- derived from 6-(27,12,35280) (# 15299)

- clan: 13-(32,16,630), 1 times reduced t, 5 times derived, 2 times residual
- residual design of supplementary of 6-(26,11,5424) (# 13573)
- supplementary design of 6-(25,11,4068) (# 13575) with respect to smaller t
- residual design of 6-(26,11,10080) (# 13576)
- design 6-(25,11,7560) (# 13578) with respect to smaller t
- Tran van Trung construction (right) for 5-(24,10,7560) (# 13585) : der= 5-(24,10,7560) and res= 5-(24,11,17640) - the given design is the derived.
- Tran van Trung construction (left) for 5-(24,11,17640) (# 13587) : der= 5-(24,10,7560) and res= 5-(24,11,17640) - the given design is the residual.

- clan: 13-(32,16,339), 2 times reduced t, 5 times derived
- Tran van Trung construction (left) for 6-(26,11,5424) (# 13573) : der= 6-(26,10,1695) and res= 6-(26,11,5424) - the given design is the residual.

- clan: 13-(32,16,630), 7 times derived, 1 times residual
- derived from supplementary of 6-(25,10,1356) (# 13574)
- derived from 6-(25,10,2520) (# 13577)

- clan: 13-(32,16,630), 6 times derived, 2 times residual
- residual design of supplementary of 6-(25,10,1356) (# 13574)
- derived from supplementary of 6-(25,11,4068) (# 13575)
- residual design of 6-(25,10,2520) (# 13577)
- derived from 6-(25,11,7560) (# 13578)

- clan: 13-(32,16,339), 5 times derived, 3 times residual
- residual design of 6-(25,11,4068) (# 13575)
- residual design of supplementary of 6-(25,11,7560) (# 13578)

- clan: 13-(32,16,630), 5 times derived, 3 times residual
- residual design of supplementary of 6-(25,11,4068) (# 13575)
- residual design of 6-(25,11,7560) (# 13578)

- clan: 13-(32,16,339), 3 times reduced t, 5 times derived
- Tran van Trung construction (left) for 5-(26,11,18984) (# 13579) : der= 5-(26,10,7119) and res= 5-(26,11,18984) - the given design is the residual.
- design 6-(27,11,7119) (# 13583) with respect to smaller t
- derived from 6-(28,12,26103) (# 15302)

- clan: 13-(32,16,630), 3 times reduced t, 5 times derived
- Tran van Trung construction (left) for 5-(26,11,35280) (# 13581) : der= 5-(26,10,13230) and res= 5-(26,11,35280) - the given design is the residual.
- supplementary design of 6-(27,11,7119) (# 13583) with respect to smaller t
- derived from supplementary of 6-(28,12,26103) (# 15302)

- clan: 13-(32,16,339), 1 times reduced t, 4 times derived, 3 times residual
- Tran van Trung construction (right) for 5-(24,11,9492) (# 13586) : der= 5-(24,11,9492) and res= 5-(24,12,17628) - the given design is the derived.

- clan: 13-(32,16,339), 4 times reduced t, 4 times derived
- Tran van Trung construction (right) for 5-(27,11,26103) (# 13588) : der= 5-(27,11,26103) and res= 5-(27,12,59664) - the given design is the derived.
- design 6-(28,12,26103) (# 15302) with respect to smaller t
- derived from 6-(29,13,85767) (# 15308)

- clan: 13-(32,16,630), 4 times reduced t, 4 times derived
- Tran van Trung construction (right) for 5-(27,11,48510) (# 13589) : der= 5-(27,11,48510) and res= 5-(27,12,110880) - the given design is the derived.
- supplementary design of 6-(28,12,26103) (# 15302) with respect to smaller t
- derived from supplementary of 6-(29,13,85767) (# 15308)

- clan: 13-(32,16,339), 2 times reduced t, 3 times derived, 3 times residual
- Tran van Trung construction with complementary design for 5-(25,12,27120) (# 13590)
- residual design of 6-(27,13,40680) (# 15297)
- residual design of supplementary of 6-(27,13,75600) (# 15300)
- derived from 6-(27,14,71190) (# 15312)
- derived from supplementary of 6-(27,14,132300) (# 15313)

- clan: 13-(32,16,339), 2 times reduced t, 4 times derived, 2 times residual
- Tran van Trung construction (left) for 5-(25,12,27120) (# 13590) : der= 5-(25,11,13560) and res= 5-(25,12,27120) - the given design is the residual.
- residual design of 6-(27,12,18984) (# 15296)
- derived from 6-(27,13,40680) (# 15297)
- residual design of supplementary of 6-(27,12,35280) (# 15299)
- derived from supplementary of 6-(27,13,75600) (# 15300)

- clan: 13-(32,16,339), 5 times reduced t, 3 times derived
- Tran van Trung construction (right) for 5-(28,12,85767) (# 13591) : der= 5-(28,12,85767) and res= 5-(28,13,171534) - the given design is the derived.
- design 6-(29,13,85767) (# 15308) with respect to smaller t
- derived from 6-(30,14,257301) (# 15316)

- clan: 13-(32,16,630), 5 times reduced t, 3 times derived
- Tran van Trung construction (right) for 5-(28,12,159390) (# 13592) : der= 5-(28,12,159390) and res= 5-(28,13,318780) - the given design is the derived.
- supplementary design of 6-(29,13,85767) (# 15308) with respect to smaller t
- derived from supplementary of 6-(30,14,257301) (# 15316)

- clan: 13-(32,16,339), 6 times reduced t, 2 times derived
- Tran van Trung construction (right) for 5-(29,13,257301) (# 13595) : der= 5-(29,13,257301) and res= 5-(29,14,457424) - the given design is the derived.
- design 6-(30,14,257301) (# 15316) with respect to smaller t
- derived from 6-(31,15,714725) (# 15323)
- derived from supplementary of 6-(31,15,1328250) (# 15336)

- clan: 13-(32,16,630), 6 times reduced t, 2 times derived
- Tran van Trung construction (right) for 5-(29,13,478170) (# 13596) : der= 5-(29,13,478170) and res= 5-(29,14,850080) - the given design is the derived.
- supplementary design of 6-(30,14,257301) (# 15316) with respect to smaller t
- derived from supplementary of 6-(31,15,714725) (# 15323)
- derived from 6-(31,15,1328250) (# 15336)

- clan: 13-(32,16,339), 7 times reduced t, 1 times derived
- Tran van Trung construction (right) for 5-(30,14,714725) (# 13597) : der= 5-(30,14,714725) and res= 5-(30,15,1143560) - the given design is the derived.
- design 6-(31,15,714725) (# 15323) with respect to smaller t
- derived from 6-(32,16,1858285) (# 15328)
- derived from supplementary of 6-(32,16,3453450) (# 15335)
- supplementary design of 6-(31,15,1328250) (# 15336) with respect to smaller t

created: Fri Oct 23 11:13:33 CEST 2009