t designs with small t, id ge 7800

# 7800: 5-(30,8,300)

clan: 21-(44,22,3), 2 times reduced t, 14 times derived
Tran van Trung construction (left) for 5-(29,8,264) (# 7799) : der= 5-(29,7,36) and res= 5-(29,8,264) - the given design is the residual.
derived from 6-(31,9,300) (# 12300)

# 7801: 5-(28,8,238)

clan: 8-(31,10,34), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7802: 5-(28,8,245)

clan: 8-(31,10,35), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7803: 5-(29,8,280)

clan: 8-(31,10,35), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,245) (# 7802) : der= 5-(28,7,35) and res= 5-(28,8,245) - the given design is the residual.
$PGL(2,27)+$ (>=1 isom. types)

# 7804: 5-(28,8,252)

clan: 8-(31,10,36), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
residual design of 6-(29,8,36) (# 12021)
derived from 6-(29,9,252) (# 12085)

# 7805: 5-(29,8,288)

clan: 8-(31,10,36), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,252) (# 7804) : der= 5-(28,7,36) and res= 5-(28,8,252) - the given design is the residual.
$PGL(2,27)+$ (>=1 isom. types)
design 6-(29,8,36) (# 12021) with respect to smaller t
derived from 6-(30,9,288) (# 12088)

# 7806: 5-(28,8,259)

clan: 8-(31,10,37), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7807: 5-(28,8,266)

clan: 8-(31,10,38), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7808: 5-(28,8,273)

clan: 8-(31,10,39), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7809: 5-(28,8,28)

clan: 8-(31,10,4), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7810: 5-(28,8,280)

clan: 8-(31,10,40), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7811: 5-(29,8,320)

clan: 8-(31,10,40), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,280) (# 7810) : der= 5-(28,7,40) and res= 5-(28,8,280) - the given design is the residual.

# 7812: 5-(28,8,287)

clan: 8-(31,10,41), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7813: 5-(28,8,294)

clan: 8-(31,10,42), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
residual design of 6-(29,8,42) (# 12025)
derived from 6-(29,9,294) (# 12090)

# 7814: 5-(29,8,336)

clan: 8-(31,10,42), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,294) (# 7813) : der= 5-(28,7,42) and res= 5-(28,8,294) - the given design is the residual.
design 6-(29,8,42) (# 12025) with respect to smaller t
derived from 6-(30,9,336) (# 12093)

# 7815: 5-(28,8,301)

clan: 8-(31,10,43), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
residual design of 6-(29,8,43) (# 12029)

# 7816: 5-(29,8,344)

clan: 8-(31,10,43), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,301) (# 7815) : der= 5-(28,7,43) and res= 5-(28,8,301) - the given design is the residual.
$PGL(2,27)+$ (>=1 isom. types)
design 6-(29,8,43) (# 12029) with respect to smaller t

# 7817: 5-(28,8,308)

clan: 21-(44,22,4), 14 times derived, 2 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7818: 5-(28,8,315)

clan: 8-(31,10,45), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7819: 5-(28,8,322)

clan: 9-(31,10,4), 1 times reduced t, 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
Bluskov
design 6-(28,8,42) (# 11944) with respect to smaller t
Tran van Trung construction (right) for 5-(27,7,42) (# 11945) : der= 5-(27,7,42) and res= 5-(27,8,280) - the given design is the derived.
Tran van Trung construction (left) for 5-(27,8,280) (# 11946) : der= 5-(27,7,42) and res= 5-(27,8,280) - the given design is the residual.
derived from 6-(29,9,322) (# 11970)

# 7820: 5-(28,8,329)

clan: 8-(31,10,47), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7821: 5-(28,8,336)

clan: 8-(31,10,48), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7822: 5-(28,8,343)

clan: 8-(31,10,49), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
residual design of 6-(29,8,49) (# 12033)

# 7823: 5-(29,8,392)

clan: 8-(31,10,49), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,343) (# 7822) : der= 5-(28,7,49) and res= 5-(28,8,343) - the given design is the residual.
design 6-(29,8,49) (# 12033) with respect to smaller t

# 7824: 5-(28,8,35)

clan: 8-(31,10,5), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7825: 5-(28,8,350)

clan: 8-(31,10,50), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7826: 5-(29,8,400)

clan: 8-(31,10,50), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,350) (# 7825) : der= 5-(28,7,50) and res= 5-(28,8,350) - the given design is the residual.

# 7827: 5-(28,8,357)

clan: 8-(31,10,51), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7828: 5-(28,8,364)

clan: 8-(31,10,52), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7829: 5-(28,8,371)

clan: 8-(31,10,53), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7830: 5-(28,8,378)

clan: 8-(31,10,54), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
derived from 6-(29,9,378) (# 15855)
derived from supplementary of 6-(29,9,1393) (# 15858)

# 7831: 5-(28,8,385)

clan: 21-(44,22,5), 14 times derived, 2 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7832: 5-(28,8,392)

clan: 8-(31,10,56), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7833: 5-(29,8,448)

clan: 8-(31,10,56), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,392) (# 7832) : der= 5-(28,7,56) and res= 5-(28,8,392) - the given design is the residual.
$PGL(2,27)+$ (>=1 isom. types)

# 7834: 5-(28,8,399)

clan: 8-(31,10,57), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
residual design of 6-(29,8,57) (# 12037)

# 7835: 5-(29,8,456)

clan: 8-(31,10,57), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,399) (# 7834) : der= 5-(28,7,57) and res= 5-(28,8,399) - the given design is the residual.
design 6-(29,8,57) (# 12037) with respect to smaller t

# 7836: 5-(28,8,406)

clan: 8-(31,10,58), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
derived from 6-(29,9,406) (# 12095)

# 7837: 5-(28,8,413)

clan: 8-(31,10,59), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7838: 5-(28,8,42)

clan: 8-(31,10,6), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7839: 5-(28,8,420)

clan: 8-(31,10,60), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
derived from 6-(29,9,420) (# 15871)
derived from supplementary of 6-(29,9,1351) (# 15874)

# 7840: 5-(29,8,480)

clan: 8-(31,10,60), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,420) (# 7839) : der= 5-(28,7,60) and res= 5-(28,8,420) - the given design is the residual.
derived from 6-(30,9,480) (# 16070)
derived from supplementary of 6-(30,9,1544) (# 16072)

# 7841: 5-(28,8,427)

clan: 8-(31,10,61), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7842: 5-(28,8,434)

clan: 8-(31,10,62), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7843: 5-(28,8,441)

clan: 8-(31,10,63), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
residual design of 6-(29,8,63) (# 12041)
derived from 6-(29,9,441) (# 16057)
residual design of supplementary of 6-(29,8,190) (# 16059)
derived from supplementary of 6-(29,9,1330) (# 16060)

# 7844: 5-(29,8,504)

clan: 8-(31,10,63), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,441) (# 7843) : der= 5-(28,7,63) and res= 5-(28,8,441) - the given design is the residual.
design 6-(29,8,63) (# 12041) with respect to smaller t
derived from 6-(30,9,504) (# 16056)
derived from supplementary of 6-(30,9,1520) (# 16058)
supplementary design of 6-(29,8,190) (# 16059) with respect to smaller t

# 7845: 5-(28,8,448)

clan: 8-(31,10,64), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
residual design of 6-(29,8,64) (# 12045)
derived from 6-(29,9,448) (# 12099)
residual design of supplementary of 6-(29,8,189) (# 16066)
derived from supplementary of 6-(29,9,1323) (# 16067)

# 7846: 5-(29,8,512)

clan: 8-(31,10,64), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,448) (# 7845) : der= 5-(28,7,64) and res= 5-(28,8,448) - the given design is the residual.
$PGL(2,27)+$ (>=1 isom. types)
design 6-(29,8,64) (# 12045) with respect to smaller t
derived from 6-(30,9,512) (# 12102)
derived from supplementary of 6-(30,9,1512) (# 16065)
supplementary design of 6-(29,8,189) (# 16066) with respect to smaller t

# 7847: 5-(28,8,455)

clan: 8-(31,10,65), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
$A_8^{[2]}$ (>=1 isom. types)

# 7848: 5-(28,8,462)

clan: 21-(44,22,6), 14 times derived, 2 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
derived from 6-(29,9,462) (# 12104)

# 7849: 5-(28,8,469)

clan: 8-(31,10,67), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
derived from 6-(29,9,469) (# 12108)

# 7850: 5-(28,8,476)

clan: 8-(31,10,68), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
$A_8^{[2]}$ (>=1 isom. types)

# 7851: 5-(28,8,483)

clan: 9-(31,10,6), 1 times reduced t, 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
Bluskov
design 6-(28,8,63) (# 11954) with respect to smaller t
Tran van Trung construction (left) for 5-(27,8,420) (# 11955) : der= 5-(27,7,63) and res= 5-(27,8,420) - the given design is the residual.
residual design of 6-(29,8,69) (# 11958)
derived from 6-(29,9,483) (# 12112)

# 7852: 5-(28,8,49)

clan: 8-(31,10,7), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7853: 5-(29,8,56)

clan: 8-(31,10,7), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,49) (# 7852) : der= 5-(28,7,7) and res= 5-(28,8,49) - the given design is the residual.
$PGL(2,27)+$ (>=1 isom. types) no. of blocks = no. of 5-subsets

# 7854: 5-(28,8,490)

clan: 8-(31,10,70), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
residual design of 6-(29,8,70) (# 12049)
derived from 6-(29,9,490) (# 12117)

# 7855: 5-(29,8,560)

clan: 8-(31,10,70), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,490) (# 7854) : der= 5-(28,7,70) and res= 5-(28,8,490) - the given design is the residual.
design 6-(29,8,70) (# 12049) with respect to smaller t
derived from 6-(30,9,560) (# 12120)

# 7856: 5-(28,8,497)

clan: 8-(31,10,71), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7857: 5-(29,8,568)

clan: 8-(31,10,71), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,497) (# 7856) : der= 5-(28,7,71) and res= 5-(28,8,497) - the given design is the residual.
$PGL(2,27)+$ (>=1 isom. types)

# 7858: 5-(28,8,504)

clan: 8-(31,10,72), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
derived from 6-(29,9,504) (# 12122)
derived from supplementary of 6-(29,9,1267) (# 15890)

# 7859: 5-(28,8,511)

clan: 8-(31,10,73), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
$A_8^{[2]}$ (>=1 isom. types)

# 7860: 5-(29,8,584)

clan: 8-(31,10,73), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,511) (# 7859) : der= 5-(28,7,73) and res= 5-(28,8,511) - the given design is the residual.

# 7861: 5-(28,8,518)

clan: 8-(31,10,74), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7862: 5-(28,8,525)

clan: 8-(31,10,75), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7863: 5-(28,8,532)

clan: 8-(31,10,76), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
derived from 6-(29,9,532) (# 12126)
derived from supplementary of 6-(29,9,1239) (# 15902)

# 7864: 5-(28,8,539)

clan: 21-(44,22,7), 14 times derived, 2 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7865: 5-(29,8,616)

clan: 21-(44,22,7), 1 times reduced t, 14 times derived, 1 times residual
Tran van Trung construction (left) for 5-(28,8,539) (# 7864) : der= 5-(28,7,77) and res= 5-(28,8,539) - the given design is the residual.

# 7866: 5-(30,8,700)

clan: 21-(44,22,7), 2 times reduced t, 14 times derived
Tran van Trung construction (left) for 5-(29,8,616) (# 7865) : der= 5-(29,7,84) and res= 5-(29,8,616) - the given design is the residual.

# 7867: 5-(28,8,546)

clan: 8-(31,10,78), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
residual design of 6-(29,8,78) (# 12053)
derived from 6-(29,9,546) (# 15912)
derived from supplementary of 6-(29,9,1225) (# 15915)

# 7868: 5-(29,8,624)

clan: 8-(31,10,78), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,546) (# 7867) : der= 5-(28,7,78) and res= 5-(28,8,546) - the given design is the residual.
design 6-(29,8,78) (# 12053) with respect to smaller t
derived from 6-(30,9,624) (# 15923)

# 7869: 5-(28,8,553)

clan: 8-(31,10,79), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7870: 5-(28,8,56)

clan: 8-(31,10,8), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
Bluskov

# 7871: 5-(29,8,64)

clan: 8-(31,10,8), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,56) (# 7870) : der= 5-(28,7,8) and res= 5-(28,8,56) - the given design is the residual.
$PGL(2,27)+$ (>=1 isom. types)

# 7872: 5-(28,8,560)

clan: 8-(31,10,80), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
$A_8^{[2]}$ (>=1 isom. types)

# 7873: 5-(28,8,567)

clan: 8-(31,10,81), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
derived from 6-(29,9,567) (# 15932)
derived from supplementary of 6-(29,9,1204) (# 15935)

# 7874: 5-(28,8,574)

clan: 8-(31,10,82), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7875: 5-(28,8,581)

clan: 8-(31,10,83), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7876: 5-(28,8,588)

clan: 8-(31,10,84), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
residual design of 6-(29,8,84) (# 12057)

# 7877: 5-(29,8,672)

clan: 8-(31,10,84), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,588) (# 7876) : der= 5-(28,7,84) and res= 5-(28,8,588) - the given design is the residual.
design 6-(29,8,84) (# 12057) with respect to smaller t

# 7878: 5-(28,8,595)

clan: 8-(31,10,85), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
$A_8^{[2]}$ (>=1 isom. types)
residual design of 6-(29,8,85) (# 12061)
derived from 6-(29,9,595) (# 12130)

# 7879: 5-(29,8,680)

clan: 8-(31,10,85), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,595) (# 7878) : der= 5-(28,7,85) and res= 5-(28,8,595) - the given design is the residual.
design 6-(29,8,85) (# 12061) with respect to smaller t
derived from 6-(30,9,680) (# 12133)

# 7880: 5-(28,8,602)

clan: 8-(31,10,86), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7881: 5-(28,8,609)

clan: 8-(31,10,87), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
derived from 6-(29,9,609) (# 15948)
derived from supplementary of 6-(29,9,1162) (# 15951)

# 7882: 5-(28,8,616)

clan: 21-(44,22,8), 14 times derived, 2 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
$A_8^{[2]}$ (>=1 isom. types)

# 7883: 5-(29,8,704)

clan: 21-(44,22,8), 1 times reduced t, 14 times derived, 1 times residual
Tran van Trung construction (left) for 5-(28,8,616) (# 7882) : der= 5-(28,7,88) and res= 5-(28,8,616) - the given design is the residual.

# 7884: 5-(30,8,800)

clan: 21-(44,22,8), 2 times reduced t, 14 times derived
Tran van Trung construction (left) for 5-(29,8,704) (# 7883) : der= 5-(29,7,96) and res= 5-(29,8,704) - the given design is the residual.

# 7885: 5-(28,8,623)

clan: 8-(31,10,89), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7886: 5-(28,8,63)

clan: 8-(31,10,9), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7887: 5-(28,8,630)

clan: 8-(31,10,90), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
derived from 6-(29,9,630) (# 12135)
derived from supplementary of 6-(29,9,1141) (# 15966)

# 7888: 5-(29,8,720)

clan: 8-(31,10,90), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,630) (# 7887) : der= 5-(28,7,90) and res= 5-(28,8,630) - the given design is the residual.

# 7889: 5-(28,8,637)

clan: 8-(31,10,91), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
residual design of 6-(29,8,91) (# 12065)

# 7890: 5-(29,8,728)

clan: 8-(31,10,91), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,637) (# 7889) : der= 5-(28,7,91) and res= 5-(28,8,637) - the given design is the residual.
design 6-(29,8,91) (# 12065) with respect to smaller t

# 7891: 5-(28,8,644)

clan: 9-(31,10,8), 1 times reduced t, 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
Bluskov
design 6-(28,8,84) (# 11960) with respect to smaller t
Tran van Trung construction (right) for 5-(27,7,84) (# 11961) : der= 5-(27,7,84) and res= 5-(27,8,560) - the given design is the derived.
Tran van Trung construction (left) for 5-(27,8,560) (# 11962) : der= 5-(27,7,84) and res= 5-(27,8,560) - the given design is the residual.

# 7892: 5-(29,8,736)

clan: 9-(31,10,8), 2 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,644) (# 7891) : der= 5-(28,7,92) and res= 5-(28,8,644) - the given design is the residual.

# 7893: 5-(28,8,651)

clan: 8-(31,10,93), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
residual design of 6-(29,8,93) (# 18023)
derived from 6-(29,9,651) (# 18024)
residual design of supplementary of 6-(29,8,160) (# 18025)
derived from supplementary of 6-(29,9,1120) (# 18026)

# 7894: 5-(29,8,744)

clan: 8-(31,10,93), 1 times reduced t, 2 times derived
Tran van Trung construction (left) for 5-(28,8,651) (# 7893) : der= 5-(28,7,93) and res= 5-(28,8,651) - the given design is the residual.
derived from 6-(30,9,744) (# 16078)
derived from supplementary of 6-(30,9,1280) (# 16081)
design 6-(29,8,93) (# 18023) with respect to smaller t
supplementary design of 6-(29,8,160) (# 18025) with respect to smaller t

# 7895: 5-(28,8,658)

clan: 8-(31,10,94), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7896: 5-(28,8,665)

clan: 8-(31,10,95), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7897: 5-(28,8,672)

clan: 8-(31,10,96), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
derived from 6-(29,9,672) (# 12139)
derived from supplementary of 6-(29,9,1099) (# 15979)

# 7898: 5-(28,8,679)

clan: 8-(31,10,97), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

# 7899: 5-(28,8,686)

clan: 8-(31,10,98), 2 times derived, 1 times residual
$ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

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