t designs with small t, id ge 8000

• 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

# 8001: 5-(29,9,2058)

• 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.

# 8002: 5-(30,9,2450)

• 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.

# 8003: 5-(28,9,1785)

• 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

# 8004: 5-(29,9,2142)

• 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.

# 8005: 5-(28,9,1820)

• 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

# 8006: 5-(29,9,2184)

• 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.

# 8007: 5-(28,9,1890)

• 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)

# 8008: 5-(29,9,2268)

• 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

# 8009: 5-(28,9,1925)

• 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

# 8010: 5-(29,9,2310)

• 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.

# 8011: 5-(28,9,1995)

• 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

# 8012: 5-(29,9,2394)

• 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.

# 8013: 5-(30,9,2850)

• 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.

# 8014: 5-(28,9,2030)

• 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)

# 8015: 5-(29,9,2436)

• 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

# 8016: 5-(28,9,2100)

• 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)

# 8017: 5-(29,9,2520)

• 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)

# 8018: 5-(30,9,3000)

• 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

# 8019: 5-(28,9,2135)

• 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

# 8020: 5-(29,9,2562)

• 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.

# 8021: 5-(28,9,2205)

• 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)

# 8022: 5-(29,9,2646)

• 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

# 8023: 5-(30,9,3150)

• 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

# 8024: 5-(28,9,2240)

• 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)

# 8025: 5-(29,9,2688)

• 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

# 8026: 5-(30,9,3200)

• 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

# 8027: 5-(28,9,2310)

• 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)

# 8028: 5-(29,9,2772)

• 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

# 8029: 5-(28,9,2345)

• 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)

# 8030: 5-(29,9,2814)

• 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

# 8031: 5-(28,9,2415)

• 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

# 8032: 5-(29,9,2898)

• 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)

# 8033: 5-(28,9,2450)

• 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)

# 8034: 5-(29,9,2940)

• 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)

# 8035: 5-(30,9,3500)

• 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

# 8036: 5-(28,9,2520)

• 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)

# 8037: 5-(29,9,3024)

• 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

# 8038: 5-(28,9,2555)

• 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)

# 8039: 5-(29,9,3066)

• 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.

# 8040: 5-(30,9,3650)

• 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.

# 8041: 5-(28,9,2625)

• 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

# 8042: 5-(29,9,3150)

• 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.

# 8043: 5-(28,9,2660)

• 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)

# 8044: 5-(29,9,3192)

• 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

# 8045: 5-(28,9,2730)

• 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)

# 8046: 5-(29,9,3276)

• 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)

# 8047: 5-(30,9,3900)

• 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)

# 8048: 5-(28,9,2765)

• 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

# 8049: 5-(29,9,3318)

• 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.

# 8050: 5-(28,9,2835)

• 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)

# 8051: 5-(29,9,3402)

• 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

# 8052: 5-(28,9,2870)

• 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

# 8053: 5-(29,9,3444)

• 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.

# 8054: 5-(28,9,2940)

• 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

# 8055: 5-(29,9,3528)

• 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.

# 8056: 5-(30,9,4200)

• 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.

# 8057: 5-(28,9,2975)

• 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)

# 8058: 5-(29,9,3570)

• 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)

# 8059: 5-(30,9,4250)

• 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)

# 8060: 5-(28,9,3045)

• 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)

# 8061: 5-(29,9,3654)

• 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

# 8062: 5-(28,9,3080)

• 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)

# 8063: 5-(29,9,3696)

• 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.

# 8064: 5-(30,9,4400)

• 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.

# 8065: 5-(31,9,5200)

• 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.

# 8066: 5-(28,9,3150)

• 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)

# 8067: 5-(29,9,3780)

• 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

# 8068: 5-(30,9,4500)

• 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.

# 8069: 5-(28,9,3185)

• 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

# 8070: 5-(29,9,3822)

• 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.

# 8071: 5-(30,9,4550)

• 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.

# 8072: 5-(28,9,3255)

• 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)

# 8073: 5-(29,9,3906)

• 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

# 8074: 5-(30,9,4650)

• 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

# 8075: 5-(28,9,3290)

• 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

# 8076: 5-(29,9,3948)

• 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.

# 8077: 5-(28,9,3360)

• 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)

# 8078: 5-(29,9,4032)

• 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

# 8079: 5-(28,9,3395)

• 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

# 8080: 5-(29,9,4074)

• 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.

# 8081: 5-(28,9,3465)

• 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)

# 8082: 5-(29,9,4158)

• 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

# 8083: 5-(30,9,4950)

• 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)

# 8084: 5-(31,9,5850)

• 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)

# 8085: 5-(28,9,350)

• 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

# 8086: 5-(29,9,420)

• 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.

# 8087: 5-(28,9,3500)

• 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)

# 8088: 5-(29,9,4200)

• 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

# 8089: 5-(30,9,5000)

• 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

# 8090: 5-(28,9,3570)

• 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)

# 8091: 5-(29,9,4284)

• 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

# 8092: 5-(28,9,3605)

• 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

# 8093: 5-(29,9,4326)

• 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.

# 8094: 5-(30,9,5150)

• 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.

# 8095: 5-(28,9,3675)

• 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)

# 8096: 5-(29,9,4410)

• 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)

# 8097: 5-(30,9,5250)

• 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)

# 8098: 5-(28,9,3710)

• 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

# 8099: 5-(29,9,4452)

• 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