t designs with small t, id ge 5900

# 5900: 5-(24,8,637)

clan: 5-(24,8,637)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5901: 5-(24,8,638)

clan: 5-(24,8,638)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5902: 5-(24,8,639)

clan: 13-(32,16,639), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5903: 5-(24,8,64)

clan: 5-(24,8,64)
$PGL(2,23)$

# 5904: 5-(24,8,640)

clan: 5-(24,8,640)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5905: 5-(24,8,641)

clan: 5-(24,8,641)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5906: 5-(24,8,642)

clan: 13-(32,16,642), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5907: 5-(24,8,643)

clan: 5-(24,8,643)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5908: 5-(24,8,644)

clan: 5-(24,8,644)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5909: 5-(24,8,645)

clan: 13-(32,16,645), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
derived from supplementary of 6-(25,9,324) (# 10443)

# 5910: 5-(24,8,646)

clan: 7-(25,8,12), 1 times reduced t, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5911: 5-(24,8,647)

clan: 5-(24,8,647)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5912: 5-(24,8,648)

clan: 13-(32,16,648), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5913: 5-(24,8,649)

clan: 5-(24,8,649)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5914: 5-(24,8,65)

clan: 5-(24,8,65)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5915: 5-(24,8,650)

clan: 5-(24,8,650)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5916: 5-(24,8,651)

clan: 13-(32,16,651), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5917: 5-(24,8,652)

clan: 5-(24,8,652)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5918: 5-(24,8,653)

clan: 5-(24,8,653)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5919: 5-(24,8,654)

clan: 13-(32,16,654), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5920: 5-(24,8,655)

clan: 5-(24,8,655)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5921: 5-(24,8,656)

clan: 5-(24,8,656)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5922: 5-(24,8,657)

clan: 13-(32,16,657), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5923: 5-(24,8,658)

clan: 5-(24,8,658)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5924: 5-(24,8,659)

clan: 5-(24,8,659)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5925: 5-(24,8,66)

clan: 13-(32,16,66), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5926: 5-(24,8,660)

clan: 13-(32,16,660), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5927: 5-(24,8,661)

clan: 5-(24,8,661)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5928: 5-(24,8,662)

clan: 5-(24,8,662)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5929: 5-(24,8,663)

clan: 17-(36,18,13), 10 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
residual design of supplementary of 6-(25,8,54) (# 10402)
residual design of 6-(25,8,117) (# 13766)
derived from supplementary of 6-(25,9,306) (# 13769)
derived from 6-(25,9,663) (# 13771)

# 5930: 5-(24,8,664)

clan: 5-(24,8,664)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5931: 5-(24,8,665)

clan: 6-(24,8,105), 1 times reduced t
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5932: 5-(24,8,666)

clan: 13-(32,16,666), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5933: 5-(24,8,667)

clan: 5-(24,8,667)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5934: 5-(24,8,668)

clan: 5-(24,8,668)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5935: 5-(24,8,669)

clan: 13-(32,16,669), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5936: 5-(24,8,67)

clan: 5-(24,8,67)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5937: 5-(24,8,670)

clan: 5-(24,8,670)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5938: 5-(24,8,671)

clan: 5-(24,8,671)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5939: 5-(24,8,672)

clan: 13-(32,16,672), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5940: 5-(24,8,673)

clan: 5-(24,8,673)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5941: 5-(24,8,674)

clan: 5-(24,8,674)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5942: 5-(24,8,675)

clan: 13-(32,16,675), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5943: 5-(24,8,676)

clan: 5-(24,8,676)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5944: 5-(24,8,677)

clan: 5-(24,8,677)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5945: 5-(24,8,678)

clan: 13-(32,16,678), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5946: 5-(24,8,679)

clan: 5-(24,8,679)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5947: 5-(24,8,68)

clan: 6-(25,8,12), 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5948: 5-(25,8,80)

clan: 6-(25,8,12), 1 times reduced t
Tran van Trung construction (left) for 5-(24,8,68) (# 5947) : der= 5-(24,7,12) and res= 5-(24,8,68) - the given design is the residual.

# 5949: 5-(24,8,680)

clan: 6-(25,8,120), 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5950: 5-(24,8,681)

clan: 13-(32,16,681), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5951: 5-(24,8,682)

clan: 5-(24,8,682)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5952: 5-(24,8,683)

clan: 5-(24,8,683)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5953: 5-(24,8,684)

clan: 15-(32,16,12), 2 times reduced t, 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
supplementary design of 6-(24,8,45) (# 9837) with respect to smaller t
Tran van Trung construction (right) for 5-(23,7,108) (# 9839) : der= 5-(23,7,108) and res= 5-(23,8,576) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,8,576) (# 9840) : der= 5-(23,7,108) and res= 5-(23,8,576) - the given design is the residual.
derived from supplementary of 6-(25,9,285) (# 10440)
design 6-(24,8,108) (# 13290) with respect to smaller t
derived from 6-(25,9,684) (# 13441)

# 5954: 5-(24,8,685)

clan: 5-(24,8,685)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5955: 5-(24,8,686)

clan: 5-(24,8,686)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5956: 5-(24,8,687)

clan: 13-(32,16,687), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5957: 5-(24,8,688)

clan: 5-(24,8,688)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5958: 5-(24,8,689)

clan: 5-(24,8,689)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5959: 5-(24,8,69)

clan: 13-(32,16,69), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5960: 5-(24,8,690)

clan: 13-(32,16,690), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5961: 5-(24,8,691)

clan: 5-(24,8,691)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5962: 5-(24,8,692)

clan: 5-(24,8,692)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5963: 5-(24,8,693)

clan: 13-(32,16,693), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5964: 5-(24,8,694)

clan: 5-(24,8,694)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5965: 5-(24,8,695)

clan: 5-(24,8,695)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5966: 5-(24,8,696)

clan: 13-(32,16,696), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5967: 5-(24,8,697)

clan: 6-(25,8,123), 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5968: 5-(24,8,698)

clan: 5-(24,8,698)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5969: 5-(24,8,699)

clan: 13-(32,16,699), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5970: 5-(24,8,7)

clan: 5-(24,8,7)
\cite{KramerMagliveras74}

# 5971: 5-(24,8,70)

clan: 5-(24,8,70)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5972: 5-(24,8,700)

clan: 5-(24,8,700)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5973: 5-(24,8,701)

clan: 5-(24,8,701)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5974: 5-(24,8,702)

clan: 13-(32,16,702), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5975: 5-(24,8,703)

clan: 6-(24,8,111), 1 times reduced t
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5976: 5-(24,8,704)

clan: 5-(24,8,704)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5977: 5-(24,8,705)

clan: 13-(32,16,705), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5978: 5-(24,8,706)

clan: 5-(24,8,706)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5979: 5-(24,8,707)

clan: 5-(24,8,707)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5980: 5-(24,8,708)

clan: 13-(32,16,708), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5981: 5-(24,8,709)

clan: 5-(24,8,709)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5982: 5-(24,8,71)

clan: 5-(24,8,71)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5983: 5-(24,8,710)

clan: 5-(24,8,710)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5984: 5-(24,8,711)

clan: 13-(32,16,711), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5985: 5-(24,8,712)

clan: 5-(24,8,712)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5986: 5-(24,8,713)

clan: 5-(24,8,713)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5987: 5-(24,8,714)

clan: 17-(36,18,14), 10 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
residual design of supplementary of 6-(25,8,45) (# 10399)

# 5988: 5-(24,8,715)

clan: 5-(24,8,715)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5989: 5-(24,8,716)

clan: 5-(24,8,716)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5990: 5-(24,8,717)

clan: 13-(32,16,717), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5991: 5-(24,8,718)

clan: 5-(24,8,718)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5992: 5-(24,8,719)

clan: 5-(24,8,719)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5993: 5-(24,8,72)

clan: 13-(32,16,72), 8 times derived
$PGL(2,23)$

# 5994: 5-(24,8,720)

clan: 13-(32,16,720), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
derived from supplementary of 6-(25,9,249) (# 10437)

# 5995: 5-(24,8,721)

clan: 5-(24,8,721)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5996: 5-(24,8,722)

clan: 6-(24,8,114), 1 times reduced t
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5997: 5-(24,8,723)

clan: 13-(32,16,723), 8 times derived
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5998: 5-(24,8,724)

clan: 5-(24,8,724)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 5999: 5-(24,8,725)

clan: 5-(24,8,725)
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

created: Fri Oct 23 11:10:13 CEST 2009