t designs with small t, id ge 16100

• clan: 8-(31,10,100), 2 times reduced t, 1 times residual
• residual design of 6-(31,10,5000) (# 16093)
• design 6-(30,10,4200) (# 16095) with respect to smaller t
• residual design of supplementary of 6-(31,10,7650) (# 16096)
• supplementary design of 6-(30,10,6426) (# 16098) with respect to smaller t
• Tran van Trung construction (left) for 5-(29,10,16800) (# 16106) : der= 5-(29,9,4200) and res= 5-(29,10,16800) - the given design is the residual.

# 16101: 5-(31,10,39780)

• clan: 8-(31,10,153), 3 times reduced t
• supplementary design of 6-(31,10,5000) (# 16093) with respect to smaller t
• design 6-(31,10,7650) (# 16096) with respect to smaller t
• Tran van Trung construction (right) for 5-(30,9,7650) (# 16102) : der= 5-(30,9,7650) and res= 5-(30,10,32130) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,10,32130) (# 16103) : der= 5-(30,9,7650) and res= 5-(30,10,32130) - the given design is the residual.

# 16102: 5-(30,9,7650)

• clan: 8-(31,10,153), 2 times reduced t, 1 times derived
• derived from supplementary of 6-(31,10,5000) (# 16093)
• supplementary design of 6-(30,9,800) (# 16094) with respect to smaller t
• derived from 6-(31,10,7650) (# 16096)
• design 6-(30,9,1224) (# 16097) with respect to smaller t
• Tran van Trung construction (right) for 5-(29,8,1224) (# 16104) : der= 5-(29,8,1224) and res= 5-(29,9,6426) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,9,6426) (# 16105) : der= 5-(29,8,1224) and res= 5-(29,9,6426) - the given design is the residual.

# 16103: 5-(30,10,32130)

• clan: 8-(31,10,153), 2 times reduced t, 1 times residual
• residual design of supplementary of 6-(31,10,5000) (# 16093)
• supplementary design of 6-(30,10,4200) (# 16095) with respect to smaller t
• residual design of 6-(31,10,7650) (# 16096)
• design 6-(30,10,6426) (# 16098) with respect to smaller t
• Tran van Trung construction (right) for 5-(29,9,6426) (# 16105) : der= 5-(29,9,6426) and res= 5-(29,10,25704) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,10,25704) (# 16107) : der= 5-(29,9,6426) and res= 5-(29,10,25704) - the given design is the residual.

# 16104: 5-(29,8,1224)

• clan: 8-(31,10,153), 1 times reduced t, 2 times derived
• derived from supplementary of 6-(30,9,800) (# 16094)
• derived from 6-(30,9,1224) (# 16097)
• supplementary design of 6-(29,8,100) (# 18006) with respect to smaller t
• design 6-(29,8,153) (# 18008) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,7,153) (# 18012) : der= 5-(28,7,153) and res= 5-(28,8,1071) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,8,1071) (# 18013) : der= 5-(28,7,153) and res= 5-(28,8,1071) - the given design is the residual.

# 16105: 5-(29,9,6426)

• clan: 8-(31,10,153), 1 times reduced t, 1 times derived, 1 times residual
• residual design of supplementary of 6-(30,9,800) (# 16094)
• derived from supplementary of 6-(30,10,4200) (# 16095)
• residual design of 6-(30,9,1224) (# 16097)
• derived from 6-(30,10,6426) (# 16098)
• supplementary design of 6-(29,9,700) (# 18007) with respect to smaller t
• design 6-(29,9,1071) (# 18009) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,8,1071) (# 18013) : der= 5-(28,8,1071) and res= 5-(28,9,5355) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,9,5355) (# 18014) : der= 5-(28,8,1071) and res= 5-(28,9,5355) - the given design is the residual.

# 16106: 5-(29,10,16800)

• clan: 8-(31,10,100), 1 times reduced t, 2 times residual
• residual design of 6-(30,10,4200) (# 16095)
• residual design of supplementary of 6-(30,10,6426) (# 16098)
• design 6-(29,10,3500) (# 18010) with respect to smaller t
• supplementary design of 6-(29,10,5355) (# 18011) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,10,13300) (# 18015) : der= 5-(28,9,3500) and res= 5-(28,10,13300) - the given design is the residual.

# 16107: 5-(29,10,25704)

• clan: 8-(31,10,153), 1 times reduced t, 2 times residual
• residual design of supplementary of 6-(30,10,4200) (# 16095)
• residual design of 6-(30,10,6426) (# 16098)
• supplementary design of 6-(29,10,3500) (# 18010) with respect to smaller t
• design 6-(29,10,5355) (# 18011) with respect to smaller t
• Tran van Trung construction (right) for 5-(28,9,5355) (# 18014) : der= 5-(28,9,5355) and res= 5-(28,10,20349) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,10,20349) (# 18016) : der= 5-(28,9,5355) and res= 5-(28,10,20349) - the given design is the residual.

# 16108: 7-(33,10,600)

• clan: 11-(37,12,6), 2 times derived, 2 times residual
• $P\Gamma L(2,32)$ (many isomorphism types)

# 16109: 6-(33,10,4050)

• clan: 11-(37,12,6), 1 times reduced t, 2 times derived, 2 times residual
• design 7-(33,10,600) (# 16108) with respect to smaller t
• Tran van Trung construction (right) for 6-(32,9,600) (# 16110) : der= 6-(32,9,600) and res= 6-(32,10,3450) - the given design is the derived.
• Tran van Trung construction (left) for 6-(32,10,3450) (# 16111) : der= 6-(32,9,600) and res= 6-(32,10,3450) - the given design is the residual.

# 16110: 6-(32,9,600)

• clan: 11-(37,12,6), 3 times derived, 2 times residual
• derived from 7-(33,10,600) (# 16108)

# 16111: 6-(32,10,3450)

• clan: 11-(37,12,6), 2 times derived, 3 times residual
• residual design of 7-(33,10,600) (# 16108)

# 16112: 6-(33,10,13500)

• clan: 11-(37,12,20), 1 times reduced t, 2 times derived, 2 times residual
• supplementary design of 7-(33,10,600) (# 16108) with respect to smaller t
• Tran van Trung construction (right) for 6-(32,9,2000) (# 16113) : der= 6-(32,9,2000) and res= 6-(32,10,11500) - the given design is the derived.
• Tran van Trung construction (left) for 6-(32,10,11500) (# 16114) : der= 6-(32,9,2000) and res= 6-(32,10,11500) - the given design is the residual.

# 16113: 6-(32,9,2000)

• clan: 11-(37,12,20), 3 times derived, 2 times residual
• derived from supplementary of 7-(33,10,600) (# 16108)

# 16114: 6-(32,10,11500)

• clan: 11-(37,12,20), 2 times derived, 3 times residual
• residual design of supplementary of 7-(33,10,600) (# 16108)

# 16115: 5-(33,10,22680)

• clan: 11-(37,12,6), 2 times reduced t, 2 times derived, 2 times residual
• design 6-(33,10,4050) (# 16109) with respect to smaller t
• supplementary design of 6-(33,10,13500) (# 16112) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,9,4050) (# 16116) : der= 5-(32,9,4050) and res= 5-(32,10,18630) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,10,18630) (# 16117) : der= 5-(32,9,4050) and res= 5-(32,10,18630) - the given design is the residual.

# 16116: 5-(32,9,4050)

• clan: 11-(37,12,6), 1 times reduced t, 3 times derived, 2 times residual
• derived from 6-(33,10,4050) (# 16109)
• design 6-(32,9,600) (# 16110) with respect to smaller t
• derived from supplementary of 6-(33,10,13500) (# 16112)
• supplementary design of 6-(32,9,2000) (# 16113) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,8,600) (# 16121) : der= 5-(31,8,600) and res= 5-(31,9,3450) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,9,3450) (# 16122) : der= 5-(31,8,600) and res= 5-(31,9,3450) - the given design is the residual.

# 16117: 5-(32,10,18630)

• clan: 11-(37,12,6), 1 times reduced t, 2 times derived, 3 times residual
• residual design of 6-(33,10,4050) (# 16109)
• design 6-(32,10,3450) (# 16111) with respect to smaller t
• residual design of supplementary of 6-(33,10,13500) (# 16112)
• supplementary design of 6-(32,10,11500) (# 16114) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,9,3450) (# 16122) : der= 5-(31,9,3450) and res= 5-(31,10,15180) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,10,15180) (# 16125) : der= 5-(31,9,3450) and res= 5-(31,10,15180) - the given design is the residual.

# 16118: 5-(33,10,75600)

• clan: 11-(37,12,20), 2 times reduced t, 2 times derived, 2 times residual
• supplementary design of 6-(33,10,4050) (# 16109) with respect to smaller t
• design 6-(33,10,13500) (# 16112) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,9,13500) (# 16119) : der= 5-(32,9,13500) and res= 5-(32,10,62100) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,10,62100) (# 16120) : der= 5-(32,9,13500) and res= 5-(32,10,62100) - the given design is the residual.

# 16119: 5-(32,9,13500)

• clan: 11-(37,12,20), 1 times reduced t, 3 times derived, 2 times residual
• derived from supplementary of 6-(33,10,4050) (# 16109)
• supplementary design of 6-(32,9,600) (# 16110) with respect to smaller t
• derived from 6-(33,10,13500) (# 16112)
• design 6-(32,9,2000) (# 16113) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,8,2000) (# 16123) : der= 5-(31,8,2000) and res= 5-(31,9,11500) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,9,11500) (# 16124) : der= 5-(31,8,2000) and res= 5-(31,9,11500) - the given design is the residual.

# 16120: 5-(32,10,62100)

• clan: 11-(37,12,20), 1 times reduced t, 2 times derived, 3 times residual
• residual design of supplementary of 6-(33,10,4050) (# 16109)
• supplementary design of 6-(32,10,3450) (# 16111) with respect to smaller t
• residual design of 6-(33,10,13500) (# 16112)
• design 6-(32,10,11500) (# 16114) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,9,11500) (# 16124) : der= 5-(31,9,11500) and res= 5-(31,10,50600) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,10,50600) (# 16126) : der= 5-(31,9,11500) and res= 5-(31,10,50600) - the given design is the residual.

# 16121: 5-(31,8,600)

• clan: 11-(37,12,6), 4 times derived, 2 times residual
• derived from 6-(32,9,600) (# 16110)
• derived from supplementary of 6-(32,9,2000) (# 16113)

# 16122: 5-(31,9,3450)

• clan: 11-(37,12,6), 3 times derived, 3 times residual
• residual design of 6-(32,9,600) (# 16110)
• derived from 6-(32,10,3450) (# 16111)
• residual design of supplementary of 6-(32,9,2000) (# 16113)
• derived from supplementary of 6-(32,10,11500) (# 16114)

# 16123: 5-(31,8,2000)

• clan: 11-(37,12,20), 4 times derived, 2 times residual
• derived from supplementary of 6-(32,9,600) (# 16110)
• derived from 6-(32,9,2000) (# 16113)

# 16124: 5-(31,9,11500)

• clan: 11-(37,12,20), 3 times derived, 3 times residual
• residual design of supplementary of 6-(32,9,600) (# 16110)
• derived from supplementary of 6-(32,10,3450) (# 16111)
• residual design of 6-(32,9,2000) (# 16113)
• derived from 6-(32,10,11500) (# 16114)

# 16125: 5-(31,10,15180)

• clan: 11-(37,12,6), 2 times derived, 4 times residual
• residual design of 6-(32,10,3450) (# 16111)
• residual design of supplementary of 6-(32,10,11500) (# 16114)

# 16126: 5-(31,10,50600)

• clan: 11-(37,12,20), 2 times derived, 4 times residual
• residual design of supplementary of 6-(32,10,3450) (# 16111)
• residual design of 6-(32,10,11500) (# 16114)

# 16127: 5-(33,9,4725)

• clan: 11-(37,12,6), 2 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(32,9,4050) (# 16116) : der= 5-(32,8,675) and res= 5-(32,9,4050) - the given design is the residual.

# 16128: 5-(32,8,2250)

• clan: 11-(37,12,20), 1 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(31,8,2000) (# 16123) : der= 5-(31,7,250) and res= 5-(31,8,2000) - the given design is the residual.

# 16129: 5-(34,9,5481)

• clan: 11-(37,12,6), 3 times reduced t, 3 times derived
• Tran van Trung construction (left) for 5-(33,9,4725) (# 16127) : der= 5-(33,8,756) and res= 5-(33,9,4725) - the given design is the residual.

# 16130: 5-(34,10,27405)

• clan: 11-(37,12,6), 3 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(33,9,4725) (# 16127) : der= 5-(33,9,4725) and res= 5-(33,10,22680) - the given design is the derived.

# 16131: 5-(33,8,2520)

• clan: 11-(37,12,20), 2 times reduced t, 4 times derived
• Tran van Trung construction (left) for 5-(32,8,2250) (# 16128) : der= 5-(32,7,270) and res= 5-(32,8,2250) - the given design is the residual.

# 16132: 5-(33,9,15750)

• clan: 11-(37,12,20), 2 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(32,8,2250) (# 16128) : der= 5-(32,8,2250) and res= 5-(32,9,13500) - the given design is the derived.

# 16133: 5-(35,10,32886)

• clan: 11-(37,12,6), 4 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(34,9,5481) (# 16129) : der= 5-(34,9,5481) and res= 5-(34,10,27405) - the given design is the derived.
• Tran van Trung construction (left) for 5-(34,10,27405) (# 16130) : der= 5-(34,9,5481) and res= 5-(34,10,27405) - the given design is the residual.

# 16134: 5-(34,9,18270)

• clan: 11-(37,12,20), 3 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(33,8,2520) (# 16131) : der= 5-(33,8,2520) and res= 5-(33,9,15750) - the given design is the derived.
• Tran van Trung construction (left) for 5-(33,9,15750) (# 16132) : der= 5-(33,8,2520) and res= 5-(33,9,15750) - the given design is the residual.

# 16135: 5-(34,10,91350)

• clan: 11-(37,12,20), 3 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(33,9,15750) (# 16132) : der= 5-(33,9,15750) and res= 5-(33,10,75600) - the given design is the derived.

# 16136: 5-(35,10,109620)

• clan: 11-(37,12,20), 4 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(34,9,18270) (# 16134) : der= 5-(34,9,18270) and res= 5-(34,10,91350) - the given design is the derived.
• Tran van Trung construction (left) for 5-(34,10,91350) (# 16135) : der= 5-(34,9,18270) and res= 5-(34,10,91350) - the given design is the residual.

# 16137: 7-(33,10,720)

• clan: 10-(36,12,90), 2 times derived, 1 times residual
• $P\Gamma L(2,32)$ (many isomorphism types)

# 16138: 6-(33,10,4860)

• clan: 10-(36,12,90), 1 times reduced t, 2 times derived, 1 times residual
• design 7-(33,10,720) (# 16137) with respect to smaller t
• Tran van Trung construction (right) for 6-(32,9,720) (# 16139) : der= 6-(32,9,720) and res= 6-(32,10,4140) - the given design is the derived.
• Tran van Trung construction (left) for 6-(32,10,4140) (# 16140) : der= 6-(32,9,720) and res= 6-(32,10,4140) - the given design is the residual.

# 16139: 6-(32,9,720)

• clan: 10-(36,12,90), 3 times derived, 1 times residual
• derived from 7-(33,10,720) (# 16137)

# 16140: 6-(32,10,4140)

• clan: 10-(36,12,90), 2 times derived, 2 times residual
• residual design of 7-(33,10,720) (# 16137)

# 16141: 6-(33,10,12690)

• clan: 10-(36,12,235), 1 times reduced t, 2 times derived, 1 times residual
• supplementary design of 7-(33,10,720) (# 16137) with respect to smaller t
• Tran van Trung construction (right) for 6-(32,9,1880) (# 16142) : der= 6-(32,9,1880) and res= 6-(32,10,10810) - the given design is the derived.
• Tran van Trung construction (left) for 6-(32,10,10810) (# 16143) : der= 6-(32,9,1880) and res= 6-(32,10,10810) - the given design is the residual.

# 16142: 6-(32,9,1880)

• clan: 10-(36,12,235), 3 times derived, 1 times residual
• derived from supplementary of 7-(33,10,720) (# 16137)

# 16143: 6-(32,10,10810)

• clan: 10-(36,12,235), 2 times derived, 2 times residual
• residual design of supplementary of 7-(33,10,720) (# 16137)

# 16144: 5-(32,9,4860)

• clan: 10-(36,12,90), 1 times reduced t, 3 times derived, 1 times residual
• derived from 6-(33,10,4860) (# 16138)
• design 6-(32,9,720) (# 16139) with respect to smaller t
• derived from supplementary of 6-(33,10,12690) (# 16141)
• supplementary design of 6-(32,9,1880) (# 16142) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,8,720) (# 16148) : der= 5-(31,8,720) and res= 5-(31,9,4140) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,9,4140) (# 16149) : der= 5-(31,8,720) and res= 5-(31,9,4140) - the given design is the residual.

# 16145: 5-(32,10,22356)

• clan: 10-(36,12,90), 1 times reduced t, 2 times derived, 2 times residual
• residual design of 6-(33,10,4860) (# 16138)
• design 6-(32,10,4140) (# 16140) with respect to smaller t
• residual design of supplementary of 6-(33,10,12690) (# 16141)
• supplementary design of 6-(32,10,10810) (# 16143) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,9,4140) (# 16149) : der= 5-(31,9,4140) and res= 5-(31,10,18216) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,10,18216) (# 16152) : der= 5-(31,9,4140) and res= 5-(31,10,18216) - the given design is the residual.

# 16146: 5-(32,9,12690)

• clan: 10-(36,12,235), 1 times reduced t, 3 times derived, 1 times residual
• derived from supplementary of 6-(33,10,4860) (# 16138)
• supplementary design of 6-(32,9,720) (# 16139) with respect to smaller t
• derived from 6-(33,10,12690) (# 16141)
• design 6-(32,9,1880) (# 16142) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,8,1880) (# 16150) : der= 5-(31,8,1880) and res= 5-(31,9,10810) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,9,10810) (# 16151) : der= 5-(31,8,1880) and res= 5-(31,9,10810) - the given design is the residual.

# 16147: 5-(32,10,58374)

• clan: 10-(36,12,235), 1 times reduced t, 2 times derived, 2 times residual
• residual design of supplementary of 6-(33,10,4860) (# 16138)
• supplementary design of 6-(32,10,4140) (# 16140) with respect to smaller t
• residual design of 6-(33,10,12690) (# 16141)
• design 6-(32,10,10810) (# 16143) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,9,10810) (# 16151) : der= 5-(31,9,10810) and res= 5-(31,10,47564) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,10,47564) (# 16153) : der= 5-(31,9,10810) and res= 5-(31,10,47564) - the given design is the residual.

# 16148: 5-(31,8,720)

• clan: 10-(36,12,90), 4 times derived, 1 times residual
• derived from 6-(32,9,720) (# 16139)
• derived from supplementary of 6-(32,9,1880) (# 16142)

# 16149: 5-(31,9,4140)

• clan: 10-(36,12,90), 3 times derived, 2 times residual
• residual design of 6-(32,9,720) (# 16139)
• derived from 6-(32,10,4140) (# 16140)
• residual design of supplementary of 6-(32,9,1880) (# 16142)
• derived from supplementary of 6-(32,10,10810) (# 16143)

# 16150: 5-(31,8,1880)

• clan: 10-(36,12,235), 4 times derived, 1 times residual
• derived from supplementary of 6-(32,9,720) (# 16139)
• derived from 6-(32,9,1880) (# 16142)

# 16151: 5-(31,9,10810)

• clan: 10-(36,12,235), 3 times derived, 2 times residual
• residual design of supplementary of 6-(32,9,720) (# 16139)
• derived from supplementary of 6-(32,10,4140) (# 16140)
• residual design of 6-(32,9,1880) (# 16142)
• derived from 6-(32,10,10810) (# 16143)

# 16152: 5-(31,10,18216)

• clan: 10-(36,12,90), 2 times derived, 3 times residual
• residual design of 6-(32,10,4140) (# 16140)
• residual design of supplementary of 6-(32,10,10810) (# 16143)

# 16153: 5-(31,10,47564)

• clan: 10-(36,12,235), 2 times derived, 3 times residual
• residual design of supplementary of 6-(32,10,4140) (# 16140)
• residual design of 6-(32,10,10810) (# 16143)

# 16154: 7-(33,10,840)

• clan: 10-(36,12,105), 2 times derived, 1 times residual
• $P\Gamma L(2,32)$ (many isomorphism types)

# 16155: 6-(33,10,5670)

• clan: 10-(36,12,105), 1 times reduced t, 2 times derived, 1 times residual
• design 7-(33,10,840) (# 16154) with respect to smaller t
• Tran van Trung construction (right) for 6-(32,9,840) (# 16156) : der= 6-(32,9,840) and res= 6-(32,10,4830) - the given design is the derived.
• Tran van Trung construction (left) for 6-(32,10,4830) (# 16157) : der= 6-(32,9,840) and res= 6-(32,10,4830) - the given design is the residual.
• residual design of 7-(34,10,945) (# 16223)

# 16156: 6-(32,9,840)

• clan: 10-(36,12,105), 3 times derived, 1 times residual
• derived from 7-(33,10,840) (# 16154)
• residual design of 7-(33,9,105) (# 16219)

# 16157: 6-(32,10,4830)

• clan: 10-(36,12,105), 2 times derived, 2 times residual
• residual design of 7-(33,10,840) (# 16154)

# 16158: 6-(33,10,11880)

• clan: 10-(36,12,220), 1 times reduced t, 2 times derived, 1 times residual
• supplementary design of 7-(33,10,840) (# 16154) with respect to smaller t
• Tran van Trung construction (right) for 6-(32,9,1760) (# 16159) : der= 6-(32,9,1760) and res= 6-(32,10,10120) - the given design is the derived.
• Tran van Trung construction (left) for 6-(32,10,10120) (# 16160) : der= 6-(32,9,1760) and res= 6-(32,10,10120) - the given design is the residual.
• residual design of supplementary of 7-(34,10,945) (# 16223)

# 16159: 6-(32,9,1760)

• clan: 10-(36,12,220), 3 times derived, 1 times residual
• derived from supplementary of 7-(33,10,840) (# 16154)
• residual design of supplementary of 7-(33,9,105) (# 16219)

# 16160: 6-(32,10,10120)

• clan: 10-(36,12,220), 2 times derived, 2 times residual
• residual design of supplementary of 7-(33,10,840) (# 16154)

# 16161: 5-(32,10,26082)

• clan: 10-(36,12,105), 1 times reduced t, 2 times derived, 2 times residual
• residual design of 6-(33,10,5670) (# 16155)
• design 6-(32,10,4830) (# 16157) with respect to smaller t
• residual design of supplementary of 6-(33,10,11880) (# 16158)
• supplementary design of 6-(32,10,10120) (# 16160) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,9,4830) (# 16164) : der= 5-(31,9,4830) and res= 5-(31,10,21252) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,10,21252) (# 16167) : der= 5-(31,9,4830) and res= 5-(31,10,21252) - the given design is the residual.

# 16162: 5-(32,10,54648)

• clan: 10-(36,12,220), 1 times reduced t, 2 times derived, 2 times residual
• residual design of supplementary of 6-(33,10,5670) (# 16155)
• supplementary design of 6-(32,10,4830) (# 16157) with respect to smaller t
• residual design of 6-(33,10,11880) (# 16158)
• design 6-(32,10,10120) (# 16160) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,9,10120) (# 16166) : der= 5-(31,9,10120) and res= 5-(31,10,44528) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,10,44528) (# 16168) : der= 5-(31,9,10120) and res= 5-(31,10,44528) - the given design is the residual.

# 16163: 5-(31,8,840)

• clan: 10-(36,12,105), 4 times derived, 1 times residual
• derived from 6-(32,9,840) (# 16156)
• derived from supplementary of 6-(32,9,1760) (# 16159)
• residual design of 6-(32,8,105) (# 16220)
• residual design of supplementary of 6-(32,8,220) (# 16222)

# 16164: 5-(31,9,4830)

• clan: 10-(36,12,105), 3 times derived, 2 times residual
• residual design of 6-(32,9,840) (# 16156)
• derived from 6-(32,10,4830) (# 16157)
• residual design of supplementary of 6-(32,9,1760) (# 16159)
• derived from supplementary of 6-(32,10,10120) (# 16160)

# 16165: 5-(31,8,1760)

• clan: 10-(36,12,220), 4 times derived, 1 times residual
• derived from supplementary of 6-(32,9,840) (# 16156)
• derived from 6-(32,9,1760) (# 16159)
• residual design of supplementary of 6-(32,8,105) (# 16220)
• residual design of 6-(32,8,220) (# 16222)

# 16166: 5-(31,9,10120)

• clan: 10-(36,12,220), 3 times derived, 2 times residual
• residual design of supplementary of 6-(32,9,840) (# 16156)
• derived from supplementary of 6-(32,10,4830) (# 16157)
• residual design of 6-(32,9,1760) (# 16159)
• derived from 6-(32,10,10120) (# 16160)

# 16167: 5-(31,10,21252)

• clan: 10-(36,12,105), 2 times derived, 3 times residual
• residual design of 6-(32,10,4830) (# 16157)
• residual design of supplementary of 6-(32,10,10120) (# 16160)

# 16168: 5-(31,10,44528)

• clan: 10-(36,12,220), 2 times derived, 3 times residual
• residual design of supplementary of 6-(32,10,4830) (# 16157)
• residual design of 6-(32,10,10120) (# 16160)

# 16169: 7-(33,10,880)

• clan: 10-(36,12,110), 2 times derived, 1 times residual
• $P\Gamma L(2,32)$ (many isomorphism types)

# 16170: 6-(33,10,5940)

• clan: 10-(36,12,110), 1 times reduced t, 2 times derived, 1 times residual
• design 7-(33,10,880) (# 16169) with respect to smaller t
• Tran van Trung construction (right) for 6-(32,9,880) (# 16171) : der= 6-(32,9,880) and res= 6-(32,10,5060) - the given design is the derived.
• Tran van Trung construction (left) for 6-(32,10,5060) (# 16172) : der= 6-(32,9,880) and res= 6-(32,10,5060) - the given design is the residual.

# 16171: 6-(32,9,880)

• clan: 10-(36,12,110), 3 times derived, 1 times residual
• derived from 7-(33,10,880) (# 16169)

# 16172: 6-(32,10,5060)

• clan: 10-(36,12,110), 2 times derived, 2 times residual
• residual design of 7-(33,10,880) (# 16169)

# 16173: 6-(33,10,11610)

• clan: 10-(36,12,215), 1 times reduced t, 2 times derived, 1 times residual
• supplementary design of 7-(33,10,880) (# 16169) with respect to smaller t
• Tran van Trung construction (right) for 6-(32,9,1720) (# 16174) : der= 6-(32,9,1720) and res= 6-(32,10,9890) - the given design is the derived.
• Tran van Trung construction (left) for 6-(32,10,9890) (# 16175) : der= 6-(32,9,1720) and res= 6-(32,10,9890) - the given design is the residual.

# 16174: 6-(32,9,1720)

• clan: 10-(36,12,215), 3 times derived, 1 times residual
• derived from supplementary of 7-(33,10,880) (# 16169)

# 16175: 6-(32,10,9890)

• clan: 10-(36,12,215), 2 times derived, 2 times residual
• residual design of supplementary of 7-(33,10,880) (# 16169)

# 16176: 5-(33,10,33264)

• clan: 10-(36,12,110), 2 times reduced t, 2 times derived, 1 times residual
• design 6-(33,10,5940) (# 16170) with respect to smaller t
• supplementary design of 6-(33,10,11610) (# 16173) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,9,5940) (# 16177) : der= 5-(32,9,5940) and res= 5-(32,10,27324) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,10,27324) (# 16178) : der= 5-(32,9,5940) and res= 5-(32,10,27324) - the given design is the residual.

# 16177: 5-(32,9,5940)

• clan: 10-(36,12,110), 1 times reduced t, 3 times derived, 1 times residual
• derived from 6-(33,10,5940) (# 16170)
• design 6-(32,9,880) (# 16171) with respect to smaller t
• derived from supplementary of 6-(33,10,11610) (# 16173)
• supplementary design of 6-(32,9,1720) (# 16174) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,8,880) (# 16182) : der= 5-(31,8,880) and res= 5-(31,9,5060) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,9,5060) (# 16183) : der= 5-(31,8,880) and res= 5-(31,9,5060) - the given design is the residual.

# 16178: 5-(32,10,27324)

• clan: 10-(36,12,110), 1 times reduced t, 2 times derived, 2 times residual
• residual design of 6-(33,10,5940) (# 16170)
• design 6-(32,10,5060) (# 16172) with respect to smaller t
• residual design of supplementary of 6-(33,10,11610) (# 16173)
• supplementary design of 6-(32,10,9890) (# 16175) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,9,5060) (# 16183) : der= 5-(31,9,5060) and res= 5-(31,10,22264) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,10,22264) (# 16186) : der= 5-(31,9,5060) and res= 5-(31,10,22264) - the given design is the residual.

# 16179: 5-(33,10,65016)

• clan: 10-(36,12,215), 2 times reduced t, 2 times derived, 1 times residual
• supplementary design of 6-(33,10,5940) (# 16170) with respect to smaller t
• design 6-(33,10,11610) (# 16173) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,9,11610) (# 16180) : der= 5-(32,9,11610) and res= 5-(32,10,53406) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,10,53406) (# 16181) : der= 5-(32,9,11610) and res= 5-(32,10,53406) - the given design is the residual.

# 16180: 5-(32,9,11610)

• clan: 10-(36,12,215), 1 times reduced t, 3 times derived, 1 times residual
• derived from supplementary of 6-(33,10,5940) (# 16170)
• supplementary design of 6-(32,9,880) (# 16171) with respect to smaller t
• derived from 6-(33,10,11610) (# 16173)
• design 6-(32,9,1720) (# 16174) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,8,1720) (# 16184) : der= 5-(31,8,1720) and res= 5-(31,9,9890) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,9,9890) (# 16185) : der= 5-(31,8,1720) and res= 5-(31,9,9890) - the given design is the residual.

# 16181: 5-(32,10,53406)

• clan: 10-(36,12,215), 1 times reduced t, 2 times derived, 2 times residual
• residual design of supplementary of 6-(33,10,5940) (# 16170)
• supplementary design of 6-(32,10,5060) (# 16172) with respect to smaller t
• residual design of 6-(33,10,11610) (# 16173)
• design 6-(32,10,9890) (# 16175) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,9,9890) (# 16185) : der= 5-(31,9,9890) and res= 5-(31,10,43516) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,10,43516) (# 16187) : der= 5-(31,9,9890) and res= 5-(31,10,43516) - the given design is the residual.

# 16182: 5-(31,8,880)

• clan: 10-(36,12,110), 4 times derived, 1 times residual
• derived from 6-(32,9,880) (# 16171)
• derived from supplementary of 6-(32,9,1720) (# 16174)

# 16183: 5-(31,9,5060)

• clan: 10-(36,12,110), 3 times derived, 2 times residual
• residual design of 6-(32,9,880) (# 16171)
• derived from 6-(32,10,5060) (# 16172)
• residual design of supplementary of 6-(32,9,1720) (# 16174)
• derived from supplementary of 6-(32,10,9890) (# 16175)

# 16184: 5-(31,8,1720)

• clan: 10-(36,12,215), 4 times derived, 1 times residual
• derived from supplementary of 6-(32,9,880) (# 16171)
• derived from 6-(32,9,1720) (# 16174)

# 16185: 5-(31,9,9890)

• clan: 10-(36,12,215), 3 times derived, 2 times residual
• residual design of supplementary of 6-(32,9,880) (# 16171)
• derived from supplementary of 6-(32,10,5060) (# 16172)
• residual design of 6-(32,9,1720) (# 16174)
• derived from 6-(32,10,9890) (# 16175)

# 16186: 5-(31,10,22264)

• clan: 10-(36,12,110), 2 times derived, 3 times residual
• residual design of 6-(32,10,5060) (# 16172)
• residual design of supplementary of 6-(32,10,9890) (# 16175)

# 16187: 5-(31,10,43516)

• clan: 10-(36,12,215), 2 times derived, 3 times residual
• residual design of supplementary of 6-(32,10,5060) (# 16172)
• residual design of 6-(32,10,9890) (# 16175)

# 16188: 5-(33,9,6930)

• clan: 10-(36,12,110), 2 times reduced t, 3 times derived
• Tran van Trung construction (left) for 5-(32,9,5940) (# 16177) : der= 5-(32,8,990) and res= 5-(32,9,5940) - the given design is the residual.

# 16189: 5-(34,10,40194)

• clan: 10-(36,12,110), 3 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(33,9,6930) (# 16188) : der= 5-(33,9,6930) and res= 5-(33,10,33264) - the given design is the derived.

# 16190: 7-(33,8,10)

• clan: 11-(37,12,10), 4 times derived
• $P\Gamma L(2,32)$ (4996426 isom. types) \cite{Bettenetal95b}

# 16191: 6-(33,8,135)

• clan: 11-(37,12,10), 1 times reduced t, 4 times derived
• design 7-(33,8,10) (# 16190) with respect to smaller t
• Tran van Trung construction (right) for 6-(32,7,10) (# 16192) : der= 6-(32,7,10) and res= 6-(32,8,125) - the given design is the derived.
• Tran van Trung construction (left) for 6-(32,8,125) (# 16193) : der= 6-(32,7,10) and res= 6-(32,8,125) - the given design is the residual.
• derived from 7-(34,9,135) (# 16243)

# 16192: 6-(32,7,10)

• clan: 11-(37,12,10), 5 times derived
• derived from 7-(33,8,10) (# 16190)

# 16193: 6-(32,8,125)

• clan: 11-(37,12,10), 4 times derived, 1 times residual
• residual design of 7-(33,8,10) (# 16190)
• derived from 7-(33,9,125) (# 16239)

# 16194: 6-(33,8,216)

• clan: 11-(37,12,16), 1 times reduced t, 4 times derived
• supplementary design of 7-(33,8,10) (# 16190) with respect to smaller t
• Tran van Trung construction (right) for 6-(32,7,16) (# 16195) : der= 6-(32,7,16) and res= 6-(32,8,200) - the given design is the derived.
• Tran van Trung construction (left) for 6-(32,8,200) (# 16196) : der= 6-(32,7,16) and res= 6-(32,8,200) - the given design is the residual.
• derived from supplementary of 7-(34,9,135) (# 16243)

# 16195: 6-(32,7,16)

• clan: 11-(37,12,16), 5 times derived
• derived from supplementary of 7-(33,8,10) (# 16190)

# 16196: 6-(32,8,200)

• clan: 11-(37,12,16), 4 times derived, 1 times residual
• residual design of supplementary of 7-(33,8,10) (# 16190)
• derived from supplementary of 7-(33,9,125) (# 16239)

# 16197: 5-(33,8,2016)

• clan: 11-(37,12,16), 2 times reduced t, 4 times derived
• supplementary design of 6-(33,8,135) (# 16191) with respect to smaller t
• design 6-(33,8,216) (# 16194) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,7,216) (# 16198) : der= 5-(32,7,216) and res= 5-(32,8,1800) - the given design is the derived.
• derived from supplementary of 6-(34,9,1260) (# 16199)
• derived from 6-(34,9,2016) (# 16246)

# 16198: 5-(32,7,216)

• clan: 11-(37,12,16), 1 times reduced t, 5 times derived
• derived from supplementary of 6-(33,8,135) (# 16191)
• supplementary design of 6-(32,7,10) (# 16192) with respect to smaller t
• derived from 6-(33,8,216) (# 16194)
• design 6-(32,7,16) (# 16195) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,6,16) (# 16202) : der= 5-(31,6,16) and res= 5-(31,7,200) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,7,200) (# 16203) : der= 5-(31,6,16) and res= 5-(31,7,200) - the given design is the residual.

# 16199: 6-(34,9,1260)

• clan: 11-(37,12,10), 2 times reduced t, 3 times derived
• Tran van Trung construction (right) for 6-(33,8,135) (# 16191) : der= 6-(33,8,135) and res= 6-(33,9,1125) - the given design is the derived.
• design 7-(34,9,135) (# 16243) with respect to smaller t
• derived from 7-(35,10,1260) (# 16506)
• derived from supplementary of 7-(35,10,2016) (# 18084)

created: Fri Oct 23 11:14:11 CEST 2009