t designs with small t, id ge 9500

• clan: 7-(24,12,2520)
• Alltop construction for design 6-(23,11,2520) (# 9498)

# 9501: 5-(23,11,11004)

• clan: 7-(24,12,3668), 1 times reduced t, 1 times derived
• supplementary design of 6-(23,11,2520) (# 9498) with respect to smaller t
• derived from supplementary of 6-(24,12,7560) (# 9499)
• Tran van Trung construction (right) for 5-(22,10,3668) (# 9502) : der= 5-(22,10,3668) and res= 5-(22,11,7336) - the given design is the derived.
• Tran van Trung construction (left) for 5-(22,11,7336) (# 9503) : der= 5-(22,10,3668) and res= 5-(22,11,7336) - the given design is the residual.
• derived from 6-(24,12,11004) (# 9508)
• design 6-(23,11,3668) (# 9509) with respect to smaller t

# 9502: 5-(22,10,3668)

• clan: 7-(24,12,3668), 2 times derived
• derived from supplementary of 6-(23,11,2520) (# 9498)
• derived from 6-(23,11,3668) (# 9509)

# 9503: 5-(22,11,7336)

• clan: 7-(24,12,3668), 1 times derived, 1 times residual
• residual design of supplementary of 6-(23,11,2520) (# 9498)
• derived from supplementary of 6-(23,12,5040) (# 9507)
• residual design of 6-(23,11,3668) (# 9509)
• derived from 6-(23,12,7336) (# 9510)

# 9504: 5-(23,12,12960)

• clan: 7-(24,12,2520), 1 times reduced t, 1 times residual
• residual design of 6-(24,12,7560) (# 9499)
• design 6-(23,12,5040) (# 9507) with respect to smaller t
• residual design of supplementary of 6-(24,12,11004) (# 9508)
• supplementary design of 6-(23,12,7336) (# 9510) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,7920) (# 9511) : der= 5-(22,11,5040) and res= 5-(22,12,7920) - the given design is the residual.

# 9505: 5-(24,12,29868)

• clan: 7-(24,12,3668), 2 times reduced t
• supplementary design of 6-(24,12,7560) (# 9499) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(23,11,11004) (# 9501)
• Tran van Trung construction (right) for 5-(23,11,11004) (# 9501) : der= 5-(23,11,11004) and res= 5-(23,12,18864) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,18864) (# 9506) : der= 5-(23,11,11004) and res= 5-(23,12,18864) - the given design is the residual.
• design 6-(24,12,11004) (# 9508) with respect to smaller t

# 9506: 5-(23,12,18864)

• clan: 7-(24,12,3668), 1 times reduced t, 1 times residual
• residual design of supplementary of 6-(24,12,7560) (# 9499)
• supplementary design of 6-(23,12,5040) (# 9507) with respect to smaller t
• residual design of 6-(24,12,11004) (# 9508)
• design 6-(23,12,7336) (# 9510) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,11528) (# 9512) : der= 5-(22,11,7336) and res= 5-(22,12,11528) - the given design is the residual.

# 9507: 6-(23,12,5040)

• clan: 7-(24,12,2520), 1 times residual
• residual design of 7-(24,12,2520) (# 9500)
• residual design of supplementary of 7-(24,12,3668) (# 9513)

# 9508: 6-(24,12,11004)

• clan: 7-(24,12,3668), 1 times reduced t
• supplementary design of 7-(24,12,2520) (# 9500) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,3668) (# 9509)
• Tran van Trung construction (right) for 6-(23,11,3668) (# 9509) : der= 6-(23,11,3668) and res= 6-(23,12,7336) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,7336) (# 9510) : der= 6-(23,11,3668) and res= 6-(23,12,7336) - the given design is the residual.
• design 7-(24,12,3668) (# 9513) with respect to smaller t

# 9509: 6-(23,11,3668)

• clan: 7-(24,12,3668), 1 times derived
• derived from supplementary of 7-(24,12,2520) (# 9500)
• derived from 7-(24,12,3668) (# 9513)

# 9510: 6-(23,12,7336)

• clan: 7-(24,12,3668), 1 times residual
• residual design of supplementary of 7-(24,12,2520) (# 9500)
• residual design of 7-(24,12,3668) (# 9513)

# 9511: 5-(22,12,7920)

• clan: 7-(24,12,2520), 2 times residual
• residual design of 6-(23,12,5040) (# 9507)
• residual design of supplementary of 6-(23,12,7336) (# 9510)

# 9512: 5-(22,12,11528)

• clan: 7-(24,12,3668), 2 times residual
• residual design of supplementary of 6-(23,12,5040) (# 9507)
• residual design of 6-(23,12,7336) (# 9510)

# 9513: 7-(24,12,3668)

• clan: 7-(24,12,3668)
• Alltop construction for design 6-(23,11,3668) (# 9509)

# 9514: 6-(23,11,2576)

• clan: 7-(24,12,2576), 1 times derived
• $ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+
• derived from 7-(24,12,2576) (# 9518)
• derived from supplementary of 7-(24,12,3612) (# 9530)

# 9515: 5-(23,11,7728)

• clan: 7-(24,12,2576), 1 times reduced t, 1 times derived
• design 6-(23,11,2576) (# 9514) with respect to smaller t
• Tran van Trung construction (right) for 5-(22,10,2576) (# 9516) : der= 5-(22,10,2576) and res= 5-(22,11,5152) - the given design is the derived.
• derived from 6-(24,12,7728) (# 9517)
• derived from supplementary of 6-(24,12,10836) (# 9525)
• supplementary design of 6-(23,11,3612) (# 9526) with respect to smaller t

# 9516: 5-(22,10,2576)

• clan: 7-(24,12,2576), 2 times derived
• derived from 6-(23,11,2576) (# 9514)
• derived from supplementary of 6-(23,11,3612) (# 9526)

# 9517: 6-(24,12,7728)

• clan: 7-(24,12,2576), 1 times reduced t
• Tran van Trung construction with complementary design for 6-(23,11,2576) (# 9514)
• design 7-(24,12,2576) (# 9518) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,5152) (# 9524) : der= 6-(23,11,2576) and res= 6-(23,12,5152) - the given design is the residual.
• supplementary design of 7-(24,12,3612) (# 9530) with respect to smaller t

# 9518: 7-(24,12,2576)

• clan: 7-(24,12,2576)
• Alltop construction for design 6-(23,11,2576) (# 9514)

# 9519: 5-(23,11,10836)

• clan: 7-(24,12,3612), 1 times reduced t, 1 times derived
• supplementary design of 6-(23,11,2576) (# 9514) with respect to smaller t
• derived from supplementary of 6-(24,12,7728) (# 9517)
• Tran van Trung construction (right) for 5-(22,10,3612) (# 9520) : der= 5-(22,10,3612) and res= 5-(22,11,7224) - the given design is the derived.
• derived from 6-(24,12,10836) (# 9525)
• design 6-(23,11,3612) (# 9526) with respect to smaller t

# 9520: 5-(22,10,3612)

• clan: 7-(24,12,3612), 2 times derived
• derived from supplementary of 6-(23,11,2576) (# 9514)
• derived from 6-(23,11,3612) (# 9526)

# 9521: 5-(23,12,13248)

• clan: 7-(24,12,2576), 1 times reduced t, 1 times residual
• residual design of 6-(24,12,7728) (# 9517)
• design 6-(23,12,5152) (# 9524) with respect to smaller t
• residual design of supplementary of 6-(24,12,10836) (# 9525)
• supplementary design of 6-(23,12,7224) (# 9527) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,8096) (# 9528) : der= 5-(22,11,5152) and res= 5-(22,12,8096) - the given design is the residual.

# 9522: 5-(24,12,29412)

• clan: 7-(24,12,3612), 2 times reduced t
• supplementary design of 6-(24,12,7728) (# 9517) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(23,11,10836) (# 9519)
• Tran van Trung construction (right) for 5-(23,11,10836) (# 9519) : der= 5-(23,11,10836) and res= 5-(23,12,18576) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,18576) (# 9523) : der= 5-(23,11,10836) and res= 5-(23,12,18576) - the given design is the residual.
• design 6-(24,12,10836) (# 9525) with respect to smaller t

# 9523: 5-(23,12,18576)

• clan: 7-(24,12,3612), 1 times reduced t, 1 times residual
• residual design of supplementary of 6-(24,12,7728) (# 9517)
• supplementary design of 6-(23,12,5152) (# 9524) with respect to smaller t
• residual design of 6-(24,12,10836) (# 9525)
• design 6-(23,12,7224) (# 9527) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,11352) (# 9529) : der= 5-(22,11,7224) and res= 5-(22,12,11352) - the given design is the residual.

# 9524: 6-(23,12,5152)

• clan: 7-(24,12,2576), 1 times residual
• residual design of 7-(24,12,2576) (# 9518)
• residual design of supplementary of 7-(24,12,3612) (# 9530)

# 9525: 6-(24,12,10836)

• clan: 7-(24,12,3612), 1 times reduced t
• supplementary design of 7-(24,12,2576) (# 9518) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,3612) (# 9526)
• Tran van Trung construction (right) for 6-(23,11,3612) (# 9526) : der= 6-(23,11,3612) and res= 6-(23,12,7224) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,7224) (# 9527) : der= 6-(23,11,3612) and res= 6-(23,12,7224) - the given design is the residual.
• design 7-(24,12,3612) (# 9530) with respect to smaller t

# 9526: 6-(23,11,3612)

• clan: 7-(24,12,3612), 1 times derived
• derived from supplementary of 7-(24,12,2576) (# 9518)
• derived from 7-(24,12,3612) (# 9530)

# 9527: 6-(23,12,7224)

• clan: 7-(24,12,3612), 1 times residual
• residual design of supplementary of 7-(24,12,2576) (# 9518)
• residual design of 7-(24,12,3612) (# 9530)

# 9528: 5-(22,12,8096)

• clan: 7-(24,12,2576), 2 times residual
• residual design of 6-(23,12,5152) (# 9524)
• residual design of supplementary of 6-(23,12,7224) (# 9527)

# 9529: 5-(22,12,11352)

• clan: 7-(24,12,3612), 2 times residual
• residual design of supplementary of 6-(23,12,5152) (# 9524)
• residual design of 6-(23,12,7224) (# 9527)

# 9530: 7-(24,12,3612)

• clan: 7-(24,12,3612)
• Alltop construction for design 6-(23,11,3612) (# 9526)

# 9531: 6-(23,11,2646)

• clan: 7-(24,12,2646), 1 times derived
• $ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+
• derived from 7-(24,12,2646) (# 9535)
• derived from supplementary of 7-(24,12,3542) (# 9548)
• $ {\bf PSL(2,19)}{\bf S}_{3}x$ % -group 6 PSL 2 19 Symmetric 3 Direct_sum PSL_2_19S3x

# 9532: 5-(23,11,7938)

• clan: 7-(24,12,2646), 1 times reduced t, 1 times derived
• design 6-(23,11,2646) (# 9531) with respect to smaller t
• Tran van Trung construction (right) for 5-(22,10,2646) (# 9533) : der= 5-(22,10,2646) and res= 5-(22,11,5292) - the given design is the derived.
• derived from 6-(24,12,7938) (# 9534)
• derived from supplementary of 6-(24,12,10626) (# 9543)
• supplementary design of 6-(23,11,3542) (# 9544) with respect to smaller t

# 9533: 5-(22,10,2646)

• clan: 7-(24,12,2646), 2 times derived
• derived from 6-(23,11,2646) (# 9531)
• derived from supplementary of 6-(23,11,3542) (# 9544)

# 9534: 6-(24,12,7938)

• clan: 7-(24,12,2646), 1 times reduced t
• Tran van Trung construction with complementary design for 6-(23,11,2646) (# 9531)
• design 7-(24,12,2646) (# 9535) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,5292) (# 9542) : der= 6-(23,11,2646) and res= 6-(23,12,5292) - the given design is the residual.
• supplementary design of 7-(24,12,3542) (# 9548) with respect to smaller t

# 9535: 7-(24,12,2646)

• clan: 7-(24,12,2646)
• Alltop construction for design 6-(23,11,2646) (# 9531)

# 9536: 5-(23,11,10626)

• clan: 7-(24,12,3542), 1 times reduced t, 1 times derived
• supplementary design of 6-(23,11,2646) (# 9531) with respect to smaller t
• derived from supplementary of 6-(24,12,7938) (# 9534)
• Tran van Trung construction (right) for 5-(22,10,3542) (# 9537) : der= 5-(22,10,3542) and res= 5-(22,11,7084) - the given design is the derived.
• Tran van Trung construction (left) for 5-(22,11,7084) (# 9538) : der= 5-(22,10,3542) and res= 5-(22,11,7084) - the given design is the residual.
• derived from 6-(24,12,10626) (# 9543)
• design 6-(23,11,3542) (# 9544) with respect to smaller t

# 9537: 5-(22,10,3542)

• clan: 7-(24,12,3542), 2 times derived
• derived from supplementary of 6-(23,11,2646) (# 9531)
• derived from 6-(23,11,3542) (# 9544)

# 9538: 5-(22,11,7084)

• clan: 7-(24,12,3542), 1 times derived, 1 times residual
• residual design of supplementary of 6-(23,11,2646) (# 9531)
• derived from supplementary of 6-(23,12,5292) (# 9542)
• residual design of 6-(23,11,3542) (# 9544)
• derived from 6-(23,12,7084) (# 9545)

# 9539: 5-(23,12,13608)

• clan: 7-(24,12,2646), 1 times reduced t, 1 times residual
• residual design of 6-(24,12,7938) (# 9534)
• design 6-(23,12,5292) (# 9542) with respect to smaller t
• residual design of supplementary of 6-(24,12,10626) (# 9543)
• supplementary design of 6-(23,12,7084) (# 9545) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,8316) (# 9546) : der= 5-(22,11,5292) and res= 5-(22,12,8316) - the given design is the residual.

# 9540: 5-(24,12,28842)

• clan: 7-(24,12,3542), 2 times reduced t
• supplementary design of 6-(24,12,7938) (# 9534) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(23,11,10626) (# 9536)
• Tran van Trung construction (right) for 5-(23,11,10626) (# 9536) : der= 5-(23,11,10626) and res= 5-(23,12,18216) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,18216) (# 9541) : der= 5-(23,11,10626) and res= 5-(23,12,18216) - the given design is the residual.
• design 6-(24,12,10626) (# 9543) with respect to smaller t

# 9541: 5-(23,12,18216)

• clan: 7-(24,12,3542), 1 times reduced t, 1 times residual
• residual design of supplementary of 6-(24,12,7938) (# 9534)
• supplementary design of 6-(23,12,5292) (# 9542) with respect to smaller t
• residual design of 6-(24,12,10626) (# 9543)
• design 6-(23,12,7084) (# 9545) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,11132) (# 9547) : der= 5-(22,11,7084) and res= 5-(22,12,11132) - the given design is the residual.

# 9542: 6-(23,12,5292)

• clan: 7-(24,12,2646), 1 times residual
• residual design of 7-(24,12,2646) (# 9535)
• residual design of supplementary of 7-(24,12,3542) (# 9548)

# 9543: 6-(24,12,10626)

• clan: 7-(24,12,3542), 1 times reduced t
• supplementary design of 7-(24,12,2646) (# 9535) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,3542) (# 9544)
• Tran van Trung construction (right) for 6-(23,11,3542) (# 9544) : der= 6-(23,11,3542) and res= 6-(23,12,7084) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,7084) (# 9545) : der= 6-(23,11,3542) and res= 6-(23,12,7084) - the given design is the residual.
• design 7-(24,12,3542) (# 9548) with respect to smaller t

# 9544: 6-(23,11,3542)

• clan: 7-(24,12,3542), 1 times derived
• derived from supplementary of 7-(24,12,2646) (# 9535)
• derived from 7-(24,12,3542) (# 9548)

# 9545: 6-(23,12,7084)

• clan: 7-(24,12,3542), 1 times residual
• residual design of supplementary of 7-(24,12,2646) (# 9535)
• residual design of 7-(24,12,3542) (# 9548)

# 9546: 5-(22,12,8316)

• clan: 7-(24,12,2646), 2 times residual
• residual design of 6-(23,12,5292) (# 9542)
• residual design of supplementary of 6-(23,12,7084) (# 9545)

# 9547: 5-(22,12,11132)

• clan: 7-(24,12,3542), 2 times residual
• residual design of supplementary of 6-(23,12,5292) (# 9542)
• residual design of 6-(23,12,7084) (# 9545)

# 9548: 7-(24,12,3542)

• clan: 7-(24,12,3542)
• Alltop construction for design 6-(23,11,3542) (# 9544)

# 9549: 6-(23,11,2660)

• clan: 7-(24,12,2660), 1 times derived
• $ {\bf PGL(2,19)}{\bf S}_{3}x$% -group 6 PGL 2 19 Symmetric 3 Direct_sum PGL_2_19S3x
• derived from 7-(24,12,2660) (# 9553)
• derived from supplementary of 7-(24,12,3528) (# 9566)

# 9550: 5-(23,11,7980)

• clan: 7-(24,12,2660), 1 times reduced t, 1 times derived
• design 6-(23,11,2660) (# 9549) with respect to smaller t
• Tran van Trung construction (right) for 5-(22,10,2660) (# 9551) : der= 5-(22,10,2660) and res= 5-(22,11,5320) - the given design is the derived.
• derived from 6-(24,12,7980) (# 9552)
• derived from supplementary of 6-(24,12,10584) (# 9561)
• supplementary design of 6-(23,11,3528) (# 9562) with respect to smaller t

# 9551: 5-(22,10,2660)

• clan: 7-(24,12,2660), 2 times derived
• derived from 6-(23,11,2660) (# 9549)
• derived from supplementary of 6-(23,11,3528) (# 9562)

# 9552: 6-(24,12,7980)

• clan: 7-(24,12,2660), 1 times reduced t
• Tran van Trung construction with complementary design for 6-(23,11,2660) (# 9549)
• design 7-(24,12,2660) (# 9553) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,5320) (# 9560) : der= 6-(23,11,2660) and res= 6-(23,12,5320) - the given design is the residual.
• supplementary design of 7-(24,12,3528) (# 9566) with respect to smaller t

# 9553: 7-(24,12,2660)

• clan: 7-(24,12,2660)
• Alltop construction for design 6-(23,11,2660) (# 9549)

# 9554: 5-(23,11,10584)

• clan: 7-(24,12,3528), 1 times reduced t, 1 times derived
• supplementary design of 6-(23,11,2660) (# 9549) with respect to smaller t
• derived from supplementary of 6-(24,12,7980) (# 9552)
• Tran van Trung construction (right) for 5-(22,10,3528) (# 9555) : der= 5-(22,10,3528) and res= 5-(22,11,7056) - the given design is the derived.
• Tran van Trung construction (left) for 5-(22,11,7056) (# 9556) : der= 5-(22,10,3528) and res= 5-(22,11,7056) - the given design is the residual.
• derived from 6-(24,12,10584) (# 9561)
• design 6-(23,11,3528) (# 9562) with respect to smaller t

# 9555: 5-(22,10,3528)

• clan: 7-(24,12,3528), 2 times derived
• derived from supplementary of 6-(23,11,2660) (# 9549)
• derived from 6-(23,11,3528) (# 9562)

# 9556: 5-(22,11,7056)

• clan: 7-(24,12,3528), 1 times derived, 1 times residual
• residual design of supplementary of 6-(23,11,2660) (# 9549)
• derived from supplementary of 6-(23,12,5320) (# 9560)
• residual design of 6-(23,11,3528) (# 9562)
• derived from 6-(23,12,7056) (# 9563)

# 9557: 5-(23,12,13680)

• clan: 7-(24,12,2660), 1 times reduced t, 1 times residual
• residual design of 6-(24,12,7980) (# 9552)
• design 6-(23,12,5320) (# 9560) with respect to smaller t
• residual design of supplementary of 6-(24,12,10584) (# 9561)
• supplementary design of 6-(23,12,7056) (# 9563) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,8360) (# 9564) : der= 5-(22,11,5320) and res= 5-(22,12,8360) - the given design is the residual.

# 9558: 5-(24,12,28728)

• clan: 7-(24,12,3528), 2 times reduced t
• supplementary design of 6-(24,12,7980) (# 9552) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(23,11,10584) (# 9554)
• Tran van Trung construction (right) for 5-(23,11,10584) (# 9554) : der= 5-(23,11,10584) and res= 5-(23,12,18144) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,18144) (# 9559) : der= 5-(23,11,10584) and res= 5-(23,12,18144) - the given design is the residual.
• design 6-(24,12,10584) (# 9561) with respect to smaller t

# 9559: 5-(23,12,18144)

• clan: 7-(24,12,3528), 1 times reduced t, 1 times residual
• residual design of supplementary of 6-(24,12,7980) (# 9552)
• supplementary design of 6-(23,12,5320) (# 9560) with respect to smaller t
• residual design of 6-(24,12,10584) (# 9561)
• design 6-(23,12,7056) (# 9563) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,11088) (# 9565) : der= 5-(22,11,7056) and res= 5-(22,12,11088) - the given design is the residual.

# 9560: 6-(23,12,5320)

• clan: 7-(24,12,2660), 1 times residual
• residual design of 7-(24,12,2660) (# 9553)
• residual design of supplementary of 7-(24,12,3528) (# 9566)

# 9561: 6-(24,12,10584)

• clan: 7-(24,12,3528), 1 times reduced t
• supplementary design of 7-(24,12,2660) (# 9553) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,3528) (# 9562)
• Tran van Trung construction (right) for 6-(23,11,3528) (# 9562) : der= 6-(23,11,3528) and res= 6-(23,12,7056) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,7056) (# 9563) : der= 6-(23,11,3528) and res= 6-(23,12,7056) - the given design is the residual.
• design 7-(24,12,3528) (# 9566) with respect to smaller t

# 9562: 6-(23,11,3528)

• clan: 7-(24,12,3528), 1 times derived
• derived from supplementary of 7-(24,12,2660) (# 9553)
• derived from 7-(24,12,3528) (# 9566)

# 9563: 6-(23,12,7056)

• clan: 7-(24,12,3528), 1 times residual
• residual design of supplementary of 7-(24,12,2660) (# 9553)
• residual design of 7-(24,12,3528) (# 9566)

# 9564: 5-(22,12,8360)

• clan: 7-(24,12,2660), 2 times residual
• residual design of 6-(23,12,5320) (# 9560)
• residual design of supplementary of 6-(23,12,7056) (# 9563)

# 9565: 5-(22,12,11088)

• clan: 7-(24,12,3528), 2 times residual
• residual design of supplementary of 6-(23,12,5320) (# 9560)
• residual design of 6-(23,12,7056) (# 9563)

# 9566: 7-(24,12,3528)

• clan: 7-(24,12,3528)
• Alltop construction for design 6-(23,11,3528) (# 9562)

# 9567: 6-(23,11,2730)

• clan: 13-(30,15,60), 4 times derived, 3 times residual
• $ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+
• derived from 7-(24,12,2730) (# 9569)
• derived from supplementary of 7-(24,12,3458) (# 9587)

# 9568: 6-(24,12,8190)

• clan: 13-(30,15,60), 1 times reduced t, 3 times derived, 3 times residual
• Tran van Trung construction with complementary design for 6-(23,11,2730) (# 9567)
• design 7-(24,12,2730) (# 9569) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,5460) (# 9577) : der= 6-(23,11,2730) and res= 6-(23,12,5460) - the given design is the residual.
• supplementary design of 7-(24,12,3458) (# 9587) with respect to smaller t

# 9569: 7-(24,12,2730)

• clan: 13-(30,15,60), 3 times derived, 3 times residual
• Alltop construction for design 6-(23,11,2730) (# 9567)

# 9570: 5-(23,11,10374)

• clan: 13-(30,15,76), 1 times reduced t, 4 times derived, 3 times residual
• supplementary design of 6-(23,11,2730) (# 9567) with respect to smaller t
• derived from supplementary of 6-(24,12,8190) (# 9568)
• Tran van Trung construction (left) for 5-(22,11,6916) (# 9571) : der= 5-(22,10,3458) and res= 5-(22,11,6916) - the given design is the residual.
• residual design of supplementary of 6-(24,11,3780) (# 9572)
• derived from 6-(24,12,10374) (# 9578)
• design 6-(23,11,3458) (# 9579) with respect to smaller t

# 9571: 5-(22,11,6916)

• clan: 13-(30,15,76), 4 times derived, 4 times residual
• residual design of supplementary of 6-(23,11,2730) (# 9567)
• derived from supplementary of 6-(23,12,5460) (# 9577)
• residual design of 6-(23,11,3458) (# 9579)
• derived from 6-(23,12,6916) (# 9580)

# 9572: 6-(24,11,3780)

• clan: 13-(30,15,60), 1 times reduced t, 4 times derived, 2 times residual
• Tran van Trung construction (left) for 6-(23,11,2730) (# 9567) : der= 6-(23,10,1050) and res= 6-(23,11,2730) - the given design is the residual.

# 9573: 5-(23,12,14040)

• clan: 13-(30,15,60), 1 times reduced t, 3 times derived, 4 times residual
• residual design of 6-(24,12,8190) (# 9568)
• design 6-(23,12,5460) (# 9577) with respect to smaller t
• residual design of supplementary of 6-(24,12,10374) (# 9578)
• supplementary design of 6-(23,12,6916) (# 9580) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,8580) (# 9585) : der= 5-(22,11,5460) and res= 5-(22,12,8580) - the given design is the residual.

# 9574: 5-(24,12,28158)

• clan: 13-(30,15,76), 2 times reduced t, 3 times derived, 3 times residual
• supplementary design of 6-(24,12,8190) (# 9568) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(23,11,10374) (# 9570)
• Tran van Trung construction (right) for 5-(23,11,10374) (# 9570) : der= 5-(23,11,10374) and res= 5-(23,12,17784) - the given design is the derived.
• Tran van Trung construction (left) for 5-(23,12,17784) (# 9575) : der= 5-(23,11,10374) and res= 5-(23,12,17784) - the given design is the residual.
• residual design of supplementary of 6-(25,12,11970) (# 9576)
• design 6-(24,12,10374) (# 9578) with respect to smaller t
• derived from supplementary of 6-(25,13,22230) (# 9591)
• residual design of 6-(25,12,15162) (# 9593)
• derived from 6-(25,13,28158) (# 9594)

# 9575: 5-(23,12,17784)

• clan: 13-(30,15,76), 1 times reduced t, 3 times derived, 4 times residual
• residual design of supplementary of 6-(24,12,8190) (# 9568)
• supplementary design of 6-(23,12,5460) (# 9577) with respect to smaller t
• residual design of 6-(24,12,10374) (# 9578)
• design 6-(23,12,6916) (# 9580) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,10868) (# 9586) : der= 5-(22,11,6916) and res= 5-(22,12,10868) - the given design is the residual.

# 9576: 6-(25,12,11970)

• clan: 13-(30,15,60), 2 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (left) for 6-(24,12,8190) (# 9568) : der= 6-(24,11,3780) and res= 6-(24,12,8190) - the given design is the residual.
• Tran van Trung construction (right) for 6-(24,11,3780) (# 9572) : der= 6-(24,11,3780) and res= 6-(24,12,8190) - the given design is the derived.
• derived from 7-(26,13,11970) (# 9584)
• derived from supplementary of 7-(26,13,15162) (# 9597)

# 9577: 6-(23,12,5460)

• clan: 13-(30,15,60), 3 times derived, 4 times residual
• residual design of 7-(24,12,2730) (# 9569)
• residual design of supplementary of 7-(24,12,3458) (# 9587)

# 9578: 6-(24,12,10374)

• clan: 13-(30,15,76), 1 times reduced t, 3 times derived, 3 times residual
• supplementary design of 7-(24,12,2730) (# 9569) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,3458) (# 9579)
• Tran van Trung construction (right) for 6-(23,11,3458) (# 9579) : der= 6-(23,11,3458) and res= 6-(23,12,6916) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,6916) (# 9580) : der= 6-(23,11,3458) and res= 6-(23,12,6916) - the given design is the residual.
• design 7-(24,12,3458) (# 9587) with respect to smaller t

# 9579: 6-(23,11,3458)

• clan: 13-(30,15,76), 4 times derived, 3 times residual
• derived from supplementary of 7-(24,12,2730) (# 9569)
• derived from 7-(24,12,3458) (# 9587)

# 9580: 6-(23,12,6916)

• clan: 13-(30,15,76), 3 times derived, 4 times residual
• residual design of supplementary of 7-(24,12,2730) (# 9569)
• residual design of 7-(24,12,3458) (# 9587)

# 9581: 5-(24,11,15162)

• clan: 13-(30,15,76), 2 times reduced t, 4 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(23,11,10374) (# 9570) : der= 5-(23,10,4788) and res= 5-(23,11,10374) - the given design is the residual.
• supplementary design of 6-(24,11,3780) (# 9572) with respect to smaller t
• derived from supplementary of 6-(25,12,11970) (# 9576)
• derived from 6-(25,12,15162) (# 9593)

# 9582: 5-(25,12,43320)

• clan: 13-(30,15,76), 3 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(24,12,28158) (# 9574) : der= 5-(24,11,15162) and res= 5-(24,12,28158) - the given design is the residual.
• supplementary design of 6-(25,12,11970) (# 9576) with respect to smaller t
• Tran van Trung construction (right) for 5-(24,11,15162) (# 9581) : der= 5-(24,11,15162) and res= 5-(24,12,28158) - the given design is the derived.
• derived from supplementary of 6-(26,13,34200) (# 9583)
• derived from 6-(26,13,43320) (# 9592)
• design 6-(25,12,15162) (# 9593) with respect to smaller t

# 9583: 6-(26,13,34200)

• clan: 13-(30,15,60), 3 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 6-(25,12,11970) (# 9576)
• design 7-(26,13,11970) (# 9584) with respect to smaller t
• Tran van Trung construction (left) for 6-(25,13,22230) (# 9591) : der= 6-(25,12,11970) and res= 6-(25,13,22230) - the given design is the residual.
• supplementary design of 7-(26,13,15162) (# 9597) with respect to smaller t

# 9584: 7-(26,13,11970)

• clan: 13-(30,15,60), 2 times reduced t, 2 times derived, 2 times residual
• Alltop construction for design 6-(25,12,11970) (# 9576)

# 9585: 5-(22,12,8580)

• clan: 13-(30,15,60), 3 times derived, 5 times residual
• residual design of 6-(23,12,5460) (# 9577)
• residual design of supplementary of 6-(23,12,6916) (# 9580)

# 9586: 5-(22,12,10868)

• clan: 13-(30,15,76), 3 times derived, 5 times residual
• residual design of supplementary of 6-(23,12,5460) (# 9577)
• residual design of 6-(23,12,6916) (# 9580)

# 9587: 7-(24,12,3458)

• clan: 13-(30,15,76), 3 times derived, 3 times residual
• Alltop construction for design 6-(23,11,3458) (# 9579)

# 9588: 5-(26,13,113715)

• clan: 13-(30,15,76), 4 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 5-(25,12,43320) (# 9582)
• supplementary design of 6-(26,13,34200) (# 9583) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,13,70395) (# 9590) : der= 5-(25,12,43320) and res= 5-(25,13,70395) - the given design is the residual.
• design 6-(26,13,43320) (# 9592) with respect to smaller t

# 9589: 5-(25,13,55575)

• clan: 13-(30,15,60), 3 times reduced t, 2 times derived, 3 times residual
• residual design of 6-(26,13,34200) (# 9583)
• design 6-(25,13,22230) (# 9591) with respect to smaller t
• residual design of supplementary of 6-(26,13,43320) (# 9592)
• supplementary design of 6-(25,13,28158) (# 9594) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,13,33345) (# 9595) : der= 5-(24,12,22230) and res= 5-(24,13,33345) - the given design is the residual.

# 9590: 5-(25,13,70395)

• clan: 13-(30,15,76), 3 times reduced t, 2 times derived, 3 times residual
• residual design of supplementary of 6-(26,13,34200) (# 9583)
• supplementary design of 6-(25,13,22230) (# 9591) with respect to smaller t
• residual design of 6-(26,13,43320) (# 9592)
• design 6-(25,13,28158) (# 9594) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,13,42237) (# 9596) : der= 5-(24,12,28158) and res= 5-(24,13,42237) - the given design is the residual.

# 9591: 6-(25,13,22230)

• clan: 13-(30,15,60), 2 times reduced t, 2 times derived, 3 times residual
• residual design of 7-(26,13,11970) (# 9584)
• residual design of supplementary of 7-(26,13,15162) (# 9597)

# 9592: 6-(26,13,43320)

• clan: 13-(30,15,76), 3 times reduced t, 2 times derived, 2 times residual
• supplementary design of 7-(26,13,11970) (# 9584) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(25,12,15162) (# 9593)
• Tran van Trung construction (right) for 6-(25,12,15162) (# 9593) : der= 6-(25,12,15162) and res= 6-(25,13,28158) - the given design is the derived.
• Tran van Trung construction (left) for 6-(25,13,28158) (# 9594) : der= 6-(25,12,15162) and res= 6-(25,13,28158) - the given design is the residual.
• design 7-(26,13,15162) (# 9597) with respect to smaller t

# 9593: 6-(25,12,15162)

• clan: 13-(30,15,76), 2 times reduced t, 3 times derived, 2 times residual
• derived from supplementary of 7-(26,13,11970) (# 9584)
• derived from 7-(26,13,15162) (# 9597)

# 9594: 6-(25,13,28158)

• clan: 13-(30,15,76), 2 times reduced t, 2 times derived, 3 times residual
• residual design of supplementary of 7-(26,13,11970) (# 9584)
• residual design of 7-(26,13,15162) (# 9597)

# 9595: 5-(24,13,33345)

• clan: 13-(30,15,60), 2 times reduced t, 2 times derived, 4 times residual
• residual design of 6-(25,13,22230) (# 9591)
• residual design of supplementary of 6-(25,13,28158) (# 9594)

# 9596: 5-(24,13,42237)

• clan: 13-(30,15,76), 2 times reduced t, 2 times derived, 4 times residual
• residual design of supplementary of 6-(25,13,22230) (# 9591)
• residual design of 6-(25,13,28158) (# 9594)

# 9597: 7-(26,13,15162)

• clan: 13-(30,15,76), 2 times reduced t, 2 times derived, 2 times residual
• Alltop construction for design 6-(25,12,15162) (# 9593)

# 9598: 6-(23,11,2772)

• clan: 7-(24,12,2772), 1 times derived
• $ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+
• derived from 7-(24,12,2772) (# 9600)
• derived from supplementary of 7-(24,12,3416) (# 9612)
• $ {\bf PSL(2,19)}{\bf S}_{3}x$ % -group 6 PSL 2 19 Symmetric 3 Direct_sum PSL_2_19S3x

# 9599: 6-(24,12,8316)

• clan: 7-(24,12,2772), 1 times reduced t
• Tran van Trung construction with complementary design for 6-(23,11,2772) (# 9598)
• design 7-(24,12,2772) (# 9600) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,5544) (# 9606) : der= 6-(23,11,2772) and res= 6-(23,12,5544) - the given design is the residual.
• supplementary design of 7-(24,12,3416) (# 9612) with respect to smaller t

created: Fri Oct 23 11:12:14 CEST 2009