# 8000: 5-(28,9,1715)

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

- clan: 8-(31,10,49), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,1715) (# 8000) : der= 5-(28,8,343) and res= 5-(28,9,1715) - the given design is the residual.

- clan: 8-(31,10,49), 2 times reduced t, 1 times derived
- Tran van Trung construction (left) for 5-(29,9,2058) (# 8001) : der= 5-(29,8,392) and res= 5-(29,9,2058) - the given design is the residual.

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

- clan: 8-(31,10,51), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,1785) (# 8003) : der= 5-(28,8,357) and res= 5-(28,9,1785) - the given design is the residual.

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

- clan: 8-(31,10,52), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,1820) (# 8005) : der= 5-(28,8,364) and res= 5-(28,9,1820) - the given design is the residual.

- clan: 8-(31,10,54), 1 times derived, 2 times residual
- $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
- residual design of 6-(29,9,378) (# 15855)
- derived from 6-(29,10,1890) (# 15856)
- residual design of supplementary of 6-(29,9,1393) (# 15858)
- derived from supplementary of 6-(29,10,6965) (# 15859)

- clan: 8-(31,10,54), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,1890) (# 8007) : der= 5-(28,8,378) and res= 5-(28,9,1890) - the given design is the residual.
- derived from 6-(30,10,2268) (# 15854)
- design 6-(29,9,378) (# 15855) with respect to smaller t
- derived from supplementary of 6-(30,10,8358) (# 15857)
- supplementary design of 6-(29,9,1393) (# 15858) with respect to smaller t

- clan: 21-(44,22,5), 13 times derived, 3 times residual
- $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

- clan: 21-(44,22,5), 1 times reduced t, 13 times derived, 2 times residual
- Tran van Trung construction (left) for 5-(28,9,1925) (# 8009) : der= 5-(28,8,385) and res= 5-(28,9,1925) - the given design is the residual.

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

- clan: 8-(31,10,57), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,1995) (# 8011) : der= 5-(28,8,399) and res= 5-(28,9,1995) - the given design is the residual.

- clan: 8-(31,10,57), 2 times reduced t, 1 times derived
- Tran van Trung construction (left) for 5-(29,9,2394) (# 8012) : der= 5-(29,8,456) and res= 5-(29,9,2394) - the given design is the residual.

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

- clan: 8-(31,10,58), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,2030) (# 8014) : der= 5-(28,8,406) and res= 5-(28,9,2030) - the given design is the residual.
- design 6-(29,9,406) (# 12095) with respect to smaller t

- clan: 8-(31,10,60), 1 times derived, 2 times residual
- $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
- $Sp(6,2)$ (2 isom. types)
- residual design of 6-(29,9,420) (# 15871)
- derived from 6-(29,10,2100) (# 15872)
- residual design of supplementary of 6-(29,9,1351) (# 15874)
- derived from supplementary of 6-(29,10,6755) (# 15875)

- clan: 8-(31,10,60), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,2100) (# 8016) : der= 5-(28,8,420) and res= 5-(28,9,2100) - the given design is the residual.
- derived from 6-(30,10,2520) (# 15870)
- design 6-(29,9,420) (# 15871) with respect to smaller t
- derived from supplementary of 6-(30,10,8106) (# 15873)
- supplementary design of 6-(29,9,1351) (# 15874) with respect to smaller t
- residual design of 6-(30,9,480) (# 16070)
- residual design of supplementary of 6-(30,9,1544) (# 16072)

- clan: 8-(31,10,60), 2 times reduced t, 1 times derived
- Tran van Trung construction (left) for 5-(29,9,2520) (# 8017) : der= 5-(29,8,480) and res= 5-(29,9,2520) - the given design is the residual.
- derived from 6-(31,10,3000) (# 16069)
- design 6-(30,9,480) (# 16070) with respect to smaller t
- derived from supplementary of 6-(31,10,9650) (# 16071)
- supplementary design of 6-(30,9,1544) (# 16072) with respect to smaller t

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

- clan: 8-(31,10,61), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,2135) (# 8019) : der= 5-(28,8,427) and res= 5-(28,9,2135) - the given design is the residual.

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

- clan: 8-(31,10,63), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,2205) (# 8021) : der= 5-(28,8,441) and res= 5-(28,9,2205) - the given design is the residual.
- residual design of 6-(30,9,504) (# 16056)
- design 6-(29,9,441) (# 16057) with respect to smaller t
- residual design of supplementary of 6-(30,9,1520) (# 16058)
- supplementary design of 6-(29,9,1330) (# 16060) with respect to smaller t

- clan: 8-(31,10,63), 2 times reduced t, 1 times derived
- Tran van Trung construction (left) for 5-(29,9,2646) (# 8022) : der= 5-(29,8,504) and res= 5-(29,9,2646) - the given design is the residual.
- design 6-(30,9,504) (# 16056) with respect to smaller t
- supplementary design of 6-(30,9,1520) (# 16058) with respect to smaller t

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

- clan: 8-(31,10,64), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,2240) (# 8024) : der= 5-(28,8,448) and res= 5-(28,9,2240) - the given design is the residual.
- design 6-(29,9,448) (# 12099) with respect to smaller t
- residual design of 6-(30,9,512) (# 12102)
- derived from 6-(30,10,2688) (# 12205)
- residual design of supplementary of 6-(30,9,1512) (# 16065)
- supplementary design of 6-(29,9,1323) (# 16067) with respect to smaller t

- clan: 8-(31,10,64), 2 times reduced t, 1 times derived
- Tran van Trung construction (left) for 5-(29,9,2688) (# 8025) : der= 5-(29,8,512) and res= 5-(29,9,2688) - the given design is the residual.
- design 6-(30,9,512) (# 12102) with respect to smaller t
- derived from 6-(31,10,3200) (# 12210)
- supplementary design of 6-(30,9,1512) (# 16065) with respect to smaller t

- clan: 21-(44,22,6), 13 times derived, 3 times residual
- $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
- residual design of 6-(29,9,462) (# 12104)

- clan: 21-(44,22,6), 1 times reduced t, 13 times derived, 2 times residual
- Tran van Trung construction (left) for 5-(28,9,2310) (# 8027) : der= 5-(28,8,462) and res= 5-(28,9,2310) - the given design is the residual.
- design 6-(29,9,462) (# 12104) with respect to smaller t

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

- clan: 8-(31,10,67), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,2345) (# 8029) : der= 5-(28,8,469) and res= 5-(28,9,2345) - the given design is the residual.
- design 6-(29,9,469) (# 12108) with respect to smaller t

- clan: 9-(31,10,6), 1 times reduced t, 1 times derived, 2 times residual
- $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
- $Sp(6,2)$ (5 isom. types)
- Tran van Trung construction (right) for 5-(27,8,420) (# 11955) : der= 5-(27,8,420) and res= 5-(27,9,1995) - the given design is the derived.
- residual design of 6-(29,9,483) (# 12112)
- derived from 6-(29,10,2415) (# 15827)
- design 6-(28,9,420) (# 15828) with respect to smaller t
- derived from supplementary of 6-(29,10,6440) (# 15830)
- supplementary design of 6-(28,9,1120) (# 15831) with respect to smaller t

- clan: 9-(31,10,6), 2 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,2415) (# 8031) : der= 5-(28,8,483) and res= 5-(28,9,2415) - the given design is the residual.
- design 6-(29,9,483) (# 12112) with respect to smaller t
- residual design of 6-(30,9,552) (# 12115)
- derived from 6-(30,10,2898) (# 12213)

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

- clan: 8-(31,10,70), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,2450) (# 8033) : der= 5-(28,8,490) and res= 5-(28,9,2450) - the given design is the residual.
- design 6-(29,9,490) (# 12117) with respect to smaller t
- residual design of 6-(30,9,560) (# 12120)

- clan: 8-(31,10,70), 2 times reduced t, 1 times derived
- Tran van Trung construction (left) for 5-(29,9,2940) (# 8034) : der= 5-(29,8,560) and res= 5-(29,9,2940) - the given design is the residual.
- design 6-(30,9,560) (# 12120) with respect to smaller t

- clan: 8-(31,10,72), 1 times derived, 2 times residual
- $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
- $Sp(6,2)$ (5 isom. types)
- residual design of 6-(29,9,504) (# 12122)
- derived from 6-(29,10,2520) (# 15888)
- residual design of supplementary of 6-(29,9,1267) (# 15890)
- derived from supplementary of 6-(29,10,6335) (# 15891)

- clan: 8-(31,10,72), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,2520) (# 8036) : der= 5-(28,8,504) and res= 5-(28,9,2520) - the given design is the residual.
- design 6-(29,9,504) (# 12122) with respect to smaller t
- derived from 6-(30,10,3024) (# 15887)
- derived from supplementary of 6-(30,10,7602) (# 15889)
- supplementary design of 6-(29,9,1267) (# 15890) with respect to smaller t

- clan: 8-(31,10,73), 1 times derived, 2 times residual
- $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
- $Sp(6,2)$ (3 isom. types)

- clan: 8-(31,10,73), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,2555) (# 8038) : der= 5-(28,8,511) and res= 5-(28,9,2555) - the given design is the residual.

- clan: 8-(31,10,73), 2 times reduced t, 1 times derived
- Tran van Trung construction (left) for 5-(29,9,3066) (# 8039) : der= 5-(29,8,584) and res= 5-(29,9,3066) - the given design is the residual.

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

- clan: 8-(31,10,75), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,2625) (# 8041) : der= 5-(28,8,525) and res= 5-(28,9,2625) - the given design is the residual.

- clan: 8-(31,10,76), 1 times derived, 2 times residual
- $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
- $Sp(6,2)$ (7 isom. types)
- residual design of 6-(29,9,532) (# 12126)
- derived from 6-(29,10,2660) (# 15900)
- residual design of supplementary of 6-(29,9,1239) (# 15902)
- derived from supplementary of 6-(29,10,6195) (# 15903)

- clan: 8-(31,10,76), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,2660) (# 8043) : der= 5-(28,8,532) and res= 5-(28,9,2660) - the given design is the residual.
- design 6-(29,9,532) (# 12126) with respect to smaller t
- derived from 6-(30,10,3192) (# 15899)
- derived from supplementary of 6-(30,10,7434) (# 15901)
- supplementary design of 6-(29,9,1239) (# 15902) with respect to smaller t

- clan: 8-(31,10,78), 1 times derived, 2 times residual
- $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
- residual design of 6-(29,9,546) (# 15912)
- derived from 6-(29,10,2730) (# 15913)
- residual design of supplementary of 6-(29,9,1225) (# 15915)
- derived from supplementary of 6-(29,10,6125) (# 15916)

- clan: 8-(31,10,78), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,2730) (# 8045) : der= 5-(28,8,546) and res= 5-(28,9,2730) - the given design is the residual.
- derived from 6-(30,10,3276) (# 15911)
- design 6-(29,9,546) (# 15912) with respect to smaller t
- derived from supplementary of 6-(30,10,7350) (# 15914)
- supplementary design of 6-(29,9,1225) (# 15915) with respect to smaller t
- residual design of 6-(30,9,624) (# 15923)

- clan: 8-(31,10,78), 2 times reduced t, 1 times derived
- Tran van Trung construction (left) for 5-(29,9,3276) (# 8046) : der= 5-(29,8,624) and res= 5-(29,9,3276) - the given design is the residual.
- design 6-(30,9,624) (# 15923) with respect to smaller t
- derived from 6-(31,10,3900) (# 15928)

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

- clan: 8-(31,10,79), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,2765) (# 8048) : der= 5-(28,8,553) and res= 5-(28,9,2765) - the given design is the residual.

- clan: 8-(31,10,81), 1 times derived, 2 times residual
- $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
- $Sp(6,2)$ (11 isom. types)
- residual design of 6-(29,9,567) (# 15932)
- derived from 6-(29,10,2835) (# 15933)
- residual design of supplementary of 6-(29,9,1204) (# 15935)
- derived from supplementary of 6-(29,10,6020) (# 15936)

- clan: 8-(31,10,81), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,2835) (# 8050) : der= 5-(28,8,567) and res= 5-(28,9,2835) - the given design is the residual.
- derived from 6-(30,10,3402) (# 15931)
- design 6-(29,9,567) (# 15932) with respect to smaller t
- derived from supplementary of 6-(30,10,7224) (# 15934)
- supplementary design of 6-(29,9,1204) (# 15935) with respect to smaller t

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

- clan: 8-(31,10,82), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,2870) (# 8052) : der= 5-(28,8,574) and res= 5-(28,9,2870) - the given design is the residual.

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

- clan: 8-(31,10,84), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,2940) (# 8054) : der= 5-(28,8,588) and res= 5-(28,9,2940) - the given design is the residual.

- clan: 8-(31,10,84), 2 times reduced t, 1 times derived
- Tran van Trung construction (left) for 5-(29,9,3528) (# 8055) : der= 5-(29,8,672) and res= 5-(29,9,3528) - the given design is the residual.

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

- clan: 8-(31,10,85), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,2975) (# 8057) : der= 5-(28,8,595) and res= 5-(28,9,2975) - the given design is the residual.
- design 6-(29,9,595) (# 12130) with respect to smaller t
- residual design of 6-(30,9,680) (# 12133)
- derived from 6-(30,10,3570) (# 12221)

- clan: 8-(31,10,85), 2 times reduced t, 1 times derived
- Tran van Trung construction (left) for 5-(29,9,3570) (# 8058) : der= 5-(29,8,680) and res= 5-(29,9,3570) - the given design is the residual.
- design 6-(30,9,680) (# 12133) with respect to smaller t
- derived from 6-(31,10,4250) (# 12226)

- clan: 8-(31,10,87), 1 times derived, 2 times residual
- $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
- residual design of 6-(29,9,609) (# 15948)
- derived from 6-(29,10,3045) (# 15949)
- residual design of supplementary of 6-(29,9,1162) (# 15951)
- derived from supplementary of 6-(29,10,5810) (# 15952)

- clan: 8-(31,10,87), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,3045) (# 8060) : der= 5-(28,8,609) and res= 5-(28,9,3045) - the given design is the residual.
- derived from 6-(30,10,3654) (# 15947)
- design 6-(29,9,609) (# 15948) with respect to smaller t
- derived from supplementary of 6-(30,10,6972) (# 15950)
- supplementary design of 6-(29,9,1162) (# 15951) with respect to smaller t

- clan: 21-(44,22,8), 13 times derived, 3 times residual
- $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
- derived from 6-(29,10,3080) (# 18047)
- derived from supplementary of 6-(29,10,5775) (# 18049)

- clan: 21-(44,22,8), 1 times reduced t, 13 times derived, 2 times residual
- Tran van Trung construction (left) for 5-(28,9,3080) (# 8062) : der= 5-(28,8,616) and res= 5-(28,9,3080) - the given design is the residual.

- clan: 21-(44,22,8), 2 times reduced t, 13 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(29,9,3696) (# 8063) : der= 5-(29,8,704) and res= 5-(29,9,3696) - the given design is the residual.

- clan: 21-(44,22,8), 3 times reduced t, 13 times derived
- Tran van Trung construction (left) for 5-(30,9,4400) (# 8064) : der= 5-(30,8,800) and res= 5-(30,9,4400) - the given design is the residual.

- clan: 8-(31,10,90), 1 times derived, 2 times residual
- $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
- residual design of 6-(29,9,630) (# 12135)
- derived from 6-(29,10,3150) (# 15964)
- residual design of supplementary of 6-(29,9,1141) (# 15966)
- derived from supplementary of 6-(29,10,5705) (# 15967)

- clan: 8-(31,10,90), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,3150) (# 8066) : der= 5-(28,8,630) and res= 5-(28,9,3150) - the given design is the residual.
- design 6-(29,9,630) (# 12135) with respect to smaller t
- derived from 6-(30,10,3780) (# 15963)
- derived from supplementary of 6-(30,10,6846) (# 15965)
- supplementary design of 6-(29,9,1141) (# 15966) with respect to smaller t

- clan: 8-(31,10,90), 2 times reduced t, 1 times derived
- Tran van Trung construction (left) for 5-(29,9,3780) (# 8067) : der= 5-(29,8,720) and res= 5-(29,9,3780) - the given design is the residual.

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

- clan: 8-(31,10,91), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,3185) (# 8069) : der= 5-(28,8,637) and res= 5-(28,9,3185) - the given design is the residual.

- clan: 8-(31,10,91), 2 times reduced t, 1 times derived
- Tran van Trung construction (left) for 5-(29,9,3822) (# 8070) : der= 5-(29,8,728) and res= 5-(29,9,3822) - the given design is the residual.

- clan: 8-(31,10,93), 1 times derived, 2 times residual
- $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
- residual design of 6-(29,9,651) (# 18024)
- residual design of supplementary of 6-(29,9,1120) (# 18026)
- derived from 6-(29,10,3255) (# 18027)
- derived from supplementary of 6-(29,10,5600) (# 18028)

- clan: 8-(31,10,93), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,3255) (# 8072) : der= 5-(28,8,651) and res= 5-(28,9,3255) - the given design is the residual.
- residual design of 6-(30,9,744) (# 16078)
- derived from 6-(30,10,3906) (# 16079)
- residual design of supplementary of 6-(30,9,1280) (# 16081)
- derived from supplementary of 6-(30,10,6720) (# 16082)
- design 6-(29,9,651) (# 18024) with respect to smaller t
- supplementary design of 6-(29,9,1120) (# 18026) with respect to smaller t

- clan: 8-(31,10,93), 2 times reduced t, 1 times derived
- Tran van Trung construction (left) for 5-(29,9,3906) (# 8073) : der= 5-(29,8,744) and res= 5-(29,9,3906) - the given design is the residual.
- derived from 6-(31,10,4650) (# 16077)
- design 6-(30,9,744) (# 16078) with respect to smaller t
- derived from supplementary of 6-(31,10,8000) (# 16080)
- supplementary design of 6-(30,9,1280) (# 16081) with respect to smaller t

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

- clan: 8-(31,10,94), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,3290) (# 8075) : der= 5-(28,8,658) and res= 5-(28,9,3290) - the given design is the residual.

- clan: 8-(31,10,96), 1 times derived, 2 times residual
- $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
- $Sp(6,2)$ (10 isom. types)
- residual design of 6-(29,9,672) (# 12139)
- derived from 6-(29,10,3360) (# 15977)
- residual design of supplementary of 6-(29,9,1099) (# 15979)
- derived from supplementary of 6-(29,10,5495) (# 15980)

- clan: 8-(31,10,96), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,3360) (# 8077) : der= 5-(28,8,672) and res= 5-(28,9,3360) - the given design is the residual.
- design 6-(29,9,672) (# 12139) with respect to smaller t
- derived from 6-(30,10,4032) (# 15976)
- derived from supplementary of 6-(30,10,6594) (# 15978)
- supplementary design of 6-(29,9,1099) (# 15979) with respect to smaller t

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

- clan: 8-(31,10,97), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,3395) (# 8079) : der= 5-(28,8,679) and res= 5-(28,9,3395) - the given design is the residual.

- clan: 21-(44,22,9), 13 times derived, 3 times residual
- $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
- residual design of 6-(29,9,693) (# 12143)
- derived from 6-(29,10,3465) (# 15988)
- residual design of supplementary of 6-(29,9,1078) (# 15990)
- derived from supplementary of 6-(29,10,5390) (# 15991)

- clan: 21-(44,22,9), 1 times reduced t, 13 times derived, 2 times residual
- Tran van Trung construction (left) for 5-(28,9,3465) (# 8081) : der= 5-(28,8,693) and res= 5-(28,9,3465) - the given design is the residual.
- design 6-(29,9,693) (# 12143) with respect to smaller t
- residual design of 6-(30,9,792) (# 12146)
- derived from 6-(30,10,4158) (# 12229)
- derived from supplementary of 6-(30,10,6468) (# 15989)
- supplementary design of 6-(29,9,1078) (# 15990) with respect to smaller t

- clan: 21-(44,22,9), 2 times reduced t, 13 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(29,9,4158) (# 8082) : der= 5-(29,8,792) and res= 5-(29,9,4158) - the given design is the residual.
- design 6-(30,9,792) (# 12146) with respect to smaller t
- derived from 6-(31,10,4950) (# 12234)
- residual design of 6-(31,9,900) (# 12285)

- clan: 21-(44,22,9), 3 times reduced t, 13 times derived
- Tran van Trung construction (left) for 5-(30,9,4950) (# 8083) : der= 5-(30,8,900) and res= 5-(30,9,4950) - the given design is the residual.
- design 6-(31,9,900) (# 12285) with respect to smaller t
- derived from 6-(32,10,5850) (# 12287)

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

- clan: 8-(31,10,10), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,350) (# 8085) : der= 5-(28,8,70) and res= 5-(28,9,350) - the given design is the residual.

- clan: 8-(31,10,100), 1 times derived, 2 times residual
- $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
- $Sp(6,2)$ (20 isom. types)
- residual design of 6-(29,9,700) (# 18007)
- residual design of supplementary of 6-(29,9,1071) (# 18009)
- derived from 6-(29,10,3500) (# 18010)
- derived from supplementary of 6-(29,10,5355) (# 18011)

- clan: 8-(31,10,100), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,3500) (# 8087) : der= 5-(28,8,700) and res= 5-(28,9,3500) - the given design is the residual.
- residual design of 6-(30,9,800) (# 16094)
- derived from 6-(30,10,4200) (# 16095)
- residual design of supplementary of 6-(30,9,1224) (# 16097)
- derived from supplementary of 6-(30,10,6426) (# 16098)
- design 6-(29,9,700) (# 18007) with respect to smaller t
- supplementary design of 6-(29,9,1071) (# 18009) with respect to smaller t

- clan: 8-(31,10,100), 2 times reduced t, 1 times derived
- Tran van Trung construction (left) for 5-(29,9,4200) (# 8088) : der= 5-(29,8,800) and res= 5-(29,9,4200) - the given design is the residual.
- derived from 6-(31,10,5000) (# 16093)
- design 6-(30,9,800) (# 16094) with respect to smaller t
- derived from supplementary of 6-(31,10,7650) (# 16096)
- supplementary design of 6-(30,9,1224) (# 16097) with respect to smaller t

- clan: 8-(31,10,102), 1 times derived, 2 times residual
- $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
- residual design of 6-(29,9,714) (# 12148)

- clan: 8-(31,10,102), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,3570) (# 8090) : der= 5-(28,8,714) and res= 5-(28,9,3570) - the given design is the residual.
- design 6-(29,9,714) (# 12148) with respect to smaller t

- clan: 8-(31,10,103), 1 times derived, 2 times residual
- $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

- clan: 8-(31,10,103), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,3605) (# 8092) : der= 5-(28,8,721) and res= 5-(28,9,3605) - the given design is the residual.

- clan: 8-(31,10,103), 2 times reduced t, 1 times derived
- Tran van Trung construction (left) for 5-(29,9,4326) (# 8093) : der= 5-(29,8,824) and res= 5-(29,9,4326) - the given design is the residual.

- clan: 8-(31,10,105), 1 times derived, 2 times residual
- $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27
- $Sp(6,2)$ (11 isom. types)
- residual design of 6-(29,9,735) (# 12152)
- derived from 6-(29,10,3675) (# 15995)
- residual design of supplementary of 6-(29,9,1036) (# 15997)
- derived from supplementary of 6-(29,10,5180) (# 15998)

- clan: 8-(31,10,105), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,3675) (# 8095) : der= 5-(28,8,735) and res= 5-(28,9,3675) - the given design is the residual.
- design 6-(29,9,735) (# 12152) with respect to smaller t
- residual design of 6-(30,9,840) (# 12155)
- derived from 6-(30,10,4410) (# 12238)
- derived from supplementary of 6-(30,10,6216) (# 15996)
- supplementary design of 6-(29,9,1036) (# 15997) with respect to smaller t
- residual design of supplementary of 6-(30,9,1184) (# 16047)

- clan: 8-(31,10,105), 2 times reduced t, 1 times derived
- Tran van Trung construction (left) for 5-(29,9,4410) (# 8096) : der= 5-(29,8,840) and res= 5-(29,9,4410) - the given design is the residual.
- design 6-(30,9,840) (# 12155) with respect to smaller t
- derived from 6-(31,10,5250) (# 12243)
- supplementary design of 6-(30,9,1184) (# 16047) with respect to smaller t
- derived from supplementary of 6-(31,10,7400) (# 16050)

- clan: 8-(31,10,106), 1 times derived, 2 times residual
- $ {\bf PSL(2,27)} \geq 1$ % -group 3 PSL 2 27 PSL_2_27

- clan: 8-(31,10,106), 1 times reduced t, 1 times derived, 1 times residual
- Tran van Trung construction (left) for 5-(28,9,3710) (# 8098) : der= 5-(28,8,742) and res= 5-(28,9,3710) - the given design is the residual.

created: Fri Oct 23 11:11:36 CEST 2009