t designs with small t, id ge 1500
 # 1500: 5-(24,10,4752) 
 # 1501: 5-(24,10,4770) 
 # 1502: 5-(24,10,4788) 
 # 1503: 5-(24,10,4806) 
 # 1504: 5-(24,10,4824) 
 # 1505: 5-(24,10,4842) 
 # 1506: 5-(24,10,486) 
 # 1507: 5-(24,10,4860) 
 # 1508: 5-(24,10,4878) 
 # 1509: 5-(24,10,4896) 
 # 1510: 5-(24,10,4914) 
 # 1511: 5-(24,10,4932) 
 # 1512: 5-(24,10,4950) 
 # 1513: 5-(24,10,4968) 
 # 1514: 5-(24,10,4986) 
 # 1515: 5-(24,10,5004) 
 # 1516: 5-(24,10,5022) 
 # 1517: 5-(24,10,504) 
 # 1518: 5-(24,10,5040) 
 # 1519: 5-(24,10,5058) 
 # 1520: 5-(24,10,5076) 
 # 1521: 5-(24,10,5094) 
 # 1522: 5-(24,10,5112) 
 # 1523: 5-(24,10,5148) 
- clan:  13-(32,16,429), 6 times derived, 2 times residual
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 $ {\bf PSL(2,23)} \geq 1$ %  -group 3 PSL 2 23  PSL_2_23 
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residual design of 6-(25,10,1716) (# 13620)  
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derived from 6-(25,11,5148) (# 13621)  
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residual design of supplementary of 6-(25,10,2160) (# 13623)  
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derived from supplementary of 6-(25,11,6480) (# 13624)  
 # 1524: 5-(24,10,5166) 
 # 1525: 5-(24,10,5184) 
- clan:  13-(32,16,432), 6 times derived, 2 times residual
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 $ {\bf PSL(2,23)} \geq 1$ %  -group 3 PSL 2 23  PSL_2_23 
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residual design of 6-(25,10,1728) (# 17531)  
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residual design of supplementary of 6-(25,10,2148) (# 17533)  
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derived from 6-(25,11,5184) (# 17534)  
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derived from supplementary of 6-(25,11,6444) (# 17535)  
 # 1526: 5-(24,10,5202) 
 # 1527: 5-(24,10,522) 
 # 1528: 5-(24,10,5220) 
 # 1529: 5-(24,10,5238) 
 # 1530: 5-(24,10,5256) 
 # 1531: 5-(24,10,5274) 
 # 1532: 5-(24,10,5292) 
 # 1533: 5-(24,10,5310) 
 # 1534: 5-(24,10,5328) 
 # 1535: 5-(24,10,5346) 
 # 1536: 5-(24,10,5364) 
 # 1537: 5-(24,10,5382) 
 # 1538: 5-(24,10,540) 
 # 1539: 5-(24,10,5400) 
 # 1540: 5-(24,10,5418) 
 # 1541: 5-(24,10,5436) 
 # 1542: 5-(24,10,5454) 
 # 1543: 5-(24,10,5490) 
 # 1544: 5-(24,10,5508) 
 # 1545: 5-(24,10,5526) 
 # 1546: 5-(24,10,5544) 
 # 1547: 5-(24,10,5562) 
 # 1548: 5-(24,10,558) 
 # 1549: 5-(24,10,5580) 
 # 1550: 5-(24,10,5598) 
 # 1551: 5-(24,10,5616) 
 # 1552: 5-(24,10,5634) 
 # 1553: 5-(24,10,5652) 
 # 1554: 5-(24,10,5670) 
 # 1555: 5-(24,10,5688) 
- clan:  13-(32,16,474), 6 times derived, 2 times residual
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 $ {\bf PSL(2,23)} \geq 1$ %  -group 3 PSL 2 23  PSL_2_23 
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residual design of 6-(25,10,1896) (# 13664)  
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derived from 6-(25,11,5688) (# 13665)  
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residual design of supplementary of 6-(25,10,1980) (# 13667)  
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derived from supplementary of 6-(25,11,5940) (# 13668)  
 # 1556: 5-(24,10,5706) 
 # 1557: 5-(24,10,5724) 
 # 1558: 5-(24,10,5742) 
 # 1559: 5-(24,10,576) 
 # 1560: 5-(24,10,5760) 
 # 1561: 5-(24,10,5778) 
- clan:  11-(30,15,1926), 5 times derived, 1 times residual
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 $ {\bf PSL(2,23)} \geq 1$ %  -group 3 PSL 2 23  PSL_2_23 
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residual design of 6-(25,10,1926) (# 13713)  
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derived from 6-(25,11,5778) (# 13714)  
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residual design of supplementary of 6-(25,10,1950) (# 13716)  
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derived from supplementary of 6-(25,11,5850) (# 13717)  
 # 1562: 5-(24,10,5796) 
- clan:  13-(32,16,483), 6 times derived, 2 times residual
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 $ {\bf PSL(2,23)} \geq 1$ %  -group 3 PSL 2 23  PSL_2_23 
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derived from 6-(25,11,5796) (# 13738)  
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derived from supplementary of 6-(25,11,5832) (# 13741)  
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residual design of 6-(25,10,1932) (# 17636)  
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residual design of supplementary of 6-(25,10,1944) (# 17637)  
 # 1563: 5-(24,10,5814) 
- clan:  14-(30,15,8), 3 times reduced t, 5 times derived, 1 times residual
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 $ {\bf PSL(2,23)} \geq 1$ %  -group 3 PSL 2 23  PSL_2_23 
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 $PSL(2,23)$ (many isomorphism types) halving of complete design! 
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Tran van Trung construction (right) for 5-(23,9,1530) (# 8746)  : der= 5-(23,9,1530) and res= 5-(23,10,4284) - the given design is the derived.
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Tran van Trung construction (left) for 5-(23,10,4284) (# 8747)  : der= 5-(23,9,1530) and res= 5-(23,10,4284) - the given design is the residual.
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design 6-(24,10,1530) (# 9785)  with respect to smaller t
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supplementary design of 6-(24,10,1530) (# 9785)  with respect to smaller t
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residual design of 6-(25,10,1938) (# 9786)  
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residual design of supplementary of 6-(25,10,1938) (# 9786)  
 # 1564: 5-(24,10,594) 
 # 1565: 5-(24,10,612) 
 # 1566: 5-(24,10,630) 
 # 1567: 5-(24,10,648) 
 # 1568: 5-(24,10,666) 
 # 1569: 5-(24,10,684) 
 # 1570: 5-(24,10,702) 
 # 1571: 5-(24,10,72) 
 # 1572: 5-(24,10,720) 
 # 1573: 5-(24,10,738) 
 # 1574: 5-(24,10,756) 
 # 1575: 5-(24,10,774) 
 # 1576: 5-(24,10,792) 
 # 1577: 5-(24,10,810) 
 # 1578: 5-(24,10,828) 
 # 1579: 5-(24,10,846) 
 # 1580: 5-(24,10,864) 
 # 1581: 5-(24,10,882) 
 # 1582: 5-(24,10,90) 
 # 1583: 5-(24,10,900) 
 # 1584: 5-(24,10,918) 
 # 1585: 5-(24,10,936) 
 # 1586: 5-(24,10,954) 
 # 1587: 5-(24,10,972) 
 # 1588: 5-(24,10,990) 
 # 1589: 5-(24,11,10038) 
 # 1590: 5-(25,11,14340) 
- clan:  11-(30,15,1434), 1 times reduced t, 4 times derived, 1 times residual
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Tran van Trung construction (left) for 5-(24,11,10038) (# 1589)  : der= 5-(24,10,4302) and res= 5-(24,11,10038) - the given design is the residual.
 # 1591: 5-(24,11,10164) 
 # 1592: 5-(25,11,14520) 
- clan:  13-(32,16,363), 1 times reduced t, 5 times derived, 2 times residual
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Tran van Trung construction (left) for 5-(24,11,10164) (# 1591)  : der= 5-(24,10,4356) and res= 5-(24,11,10164) - the given design is the residual.
 # 1593: 5-(24,11,10500) 
 # 1594: 5-(25,11,15000) 
- clan:  13-(32,16,375), 1 times reduced t, 5 times derived, 2 times residual
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Tran van Trung construction (left) for 5-(24,11,10500) (# 1593)  : der= 5-(24,10,4500) and res= 5-(24,11,10500) - the given design is the residual.
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residual design of 6-(26,11,6000) (# 14128)  
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residual design of supplementary of 6-(26,11,9504) (# 14131)  
 # 1595: 5-(24,11,10626) 
 # 1596: 5-(25,11,15180) 
- clan:  11-(30,15,1518), 1 times reduced t, 4 times derived, 1 times residual
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Tran van Trung construction (left) for 5-(24,11,10626) (# 1595)  : der= 5-(24,10,4554) and res= 5-(24,11,10626) - the given design is the residual.
 # 1597: 5-(24,11,11424) 
 # 1598: 5-(25,11,16320) 
- clan:  17-(36,18,8), 1 times reduced t, 7 times derived, 4 times residual
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Tran van Trung construction (left) for 5-(24,11,11424) (# 1597)  : der= 5-(24,10,4896) and res= 5-(24,11,11424) - the given design is the residual.
 # 1599: 5-(24,11,1260) 
created: Fri Oct 23 11:09:44 CEST 2009