t designs with small t, id ge 9300

# 9300: 5-(23,12,21168)

clan: 7-(24,12,4116), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,6216) (# 9293)
supplementary design of 6-(23,12,4144) (# 9301) with respect to smaller t
residual design of 6-(24,12,12348) (# 9302)
design 6-(23,12,8232) (# 9304) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,12936) (# 9306) : der= 5-(22,11,8232) and res= 5-(22,12,12936) - the given design is the residual.

# 9301: 6-(23,12,4144)

clan: 7-(24,12,2072), 1 times residual
residual design of 7-(24,12,2072) (# 9294)
residual design of supplementary of 7-(24,12,4116) (# 9307)

# 9302: 6-(24,12,12348)

clan: 7-(24,12,4116), 1 times reduced t
supplementary design of 7-(24,12,2072) (# 9294) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,4116) (# 9303)
Tran van Trung construction (right) for 6-(23,11,4116) (# 9303) : der= 6-(23,11,4116) and res= 6-(23,12,8232) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,8232) (# 9304) : der= 6-(23,11,4116) and res= 6-(23,12,8232) - the given design is the residual.
design 7-(24,12,4116) (# 9307) with respect to smaller t

# 9303: 6-(23,11,4116)

clan: 7-(24,12,4116), 1 times derived
derived from supplementary of 7-(24,12,2072) (# 9294)
derived from 7-(24,12,4116) (# 9307)

# 9304: 6-(23,12,8232)

clan: 7-(24,12,4116), 1 times residual
residual design of supplementary of 7-(24,12,2072) (# 9294)
residual design of 7-(24,12,4116) (# 9307)

# 9305: 5-(22,12,6512)

clan: 7-(24,12,2072), 2 times residual
residual design of 6-(23,12,4144) (# 9301)
residual design of supplementary of 6-(23,12,8232) (# 9304)

# 9306: 5-(22,12,12936)

clan: 7-(24,12,4116), 2 times residual
residual design of supplementary of 6-(23,12,4144) (# 9301)
residual design of 6-(23,12,8232) (# 9304)

# 9307: 7-(24,12,4116)

clan: 7-(24,12,4116)
Alltop construction for design 6-(23,11,4116) (# 9303)

# 9308: 6-(23,11,2100)

clan: 7-(24,12,2100), 1 times derived
$ {\bf PSL(2,19)}{\bf C}_{2}x^+$ % -group 7 PSL 2 19 Cyclic 2 Direct_sum Add_fixpoint PSL_2_19C2x+
derived from 7-(24,12,2100) (# 9310)
derived from supplementary of 7-(24,12,4088) (# 9323)

# 9309: 6-(24,12,6300)

clan: 7-(24,12,2100), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,2100) (# 9308)
design 7-(24,12,2100) (# 9310) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,4200) (# 9317) : der= 6-(23,11,2100) and res= 6-(23,12,4200) - the given design is the residual.
supplementary design of 7-(24,12,4088) (# 9323) with respect to smaller t

# 9310: 7-(24,12,2100)

clan: 7-(24,12,2100)
Alltop construction for design 6-(23,11,2100) (# 9308)

# 9311: 5-(23,11,12264)

clan: 7-(24,12,4088), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,2100) (# 9308) with respect to smaller t
derived from supplementary of 6-(24,12,6300) (# 9309)
Tran van Trung construction (right) for 5-(22,10,4088) (# 9312) : der= 5-(22,10,4088) and res= 5-(22,11,8176) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,8176) (# 9313) : der= 5-(22,10,4088) and res= 5-(22,11,8176) - the given design is the residual.
derived from 6-(24,12,12264) (# 9318)
design 6-(23,11,4088) (# 9319) with respect to smaller t

# 9312: 5-(22,10,4088)

clan: 7-(24,12,4088), 2 times derived
derived from supplementary of 6-(23,11,2100) (# 9308)
derived from 6-(23,11,4088) (# 9319)

# 9313: 5-(22,11,8176)

clan: 7-(24,12,4088), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,2100) (# 9308)
derived from supplementary of 6-(23,12,4200) (# 9317)
residual design of 6-(23,11,4088) (# 9319)
derived from 6-(23,12,8176) (# 9320)

# 9314: 5-(23,12,10800)

clan: 7-(24,12,2100), 1 times reduced t, 1 times residual
residual design of 6-(24,12,6300) (# 9309)
design 6-(23,12,4200) (# 9317) with respect to smaller t
residual design of supplementary of 6-(24,12,12264) (# 9318)
supplementary design of 6-(23,12,8176) (# 9320) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,6600) (# 9321) : der= 5-(22,11,4200) and res= 5-(22,12,6600) - the given design is the residual.

# 9315: 5-(24,12,33288)

clan: 7-(24,12,4088), 2 times reduced t
supplementary design of 6-(24,12,6300) (# 9309) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,12264) (# 9311)
Tran van Trung construction (right) for 5-(23,11,12264) (# 9311) : der= 5-(23,11,12264) and res= 5-(23,12,21024) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,21024) (# 9316) : der= 5-(23,11,12264) and res= 5-(23,12,21024) - the given design is the residual.
design 6-(24,12,12264) (# 9318) with respect to smaller t

# 9316: 5-(23,12,21024)

clan: 7-(24,12,4088), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,6300) (# 9309)
supplementary design of 6-(23,12,4200) (# 9317) with respect to smaller t
residual design of 6-(24,12,12264) (# 9318)
design 6-(23,12,8176) (# 9320) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,12848) (# 9322) : der= 5-(22,11,8176) and res= 5-(22,12,12848) - the given design is the residual.

# 9317: 6-(23,12,4200)

clan: 7-(24,12,2100), 1 times residual
residual design of 7-(24,12,2100) (# 9310)
residual design of supplementary of 7-(24,12,4088) (# 9323)

# 9318: 6-(24,12,12264)

clan: 7-(24,12,4088), 1 times reduced t
supplementary design of 7-(24,12,2100) (# 9310) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,4088) (# 9319)
Tran van Trung construction (right) for 6-(23,11,4088) (# 9319) : der= 6-(23,11,4088) and res= 6-(23,12,8176) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,8176) (# 9320) : der= 6-(23,11,4088) and res= 6-(23,12,8176) - the given design is the residual.
design 7-(24,12,4088) (# 9323) with respect to smaller t

# 9319: 6-(23,11,4088)

clan: 7-(24,12,4088), 1 times derived
derived from supplementary of 7-(24,12,2100) (# 9310)
derived from 7-(24,12,4088) (# 9323)

# 9320: 6-(23,12,8176)

clan: 7-(24,12,4088), 1 times residual
residual design of supplementary of 7-(24,12,2100) (# 9310)
residual design of 7-(24,12,4088) (# 9323)

# 9321: 5-(22,12,6600)

clan: 7-(24,12,2100), 2 times residual
residual design of 6-(23,12,4200) (# 9317)
residual design of supplementary of 6-(23,12,8176) (# 9320)

# 9322: 5-(22,12,12848)

clan: 7-(24,12,4088), 2 times residual
residual design of supplementary of 6-(23,12,4200) (# 9317)
residual design of 6-(23,12,8176) (# 9320)

# 9323: 7-(24,12,4088)

clan: 7-(24,12,4088)
Alltop construction for design 6-(23,11,4088) (# 9319)

# 9324: 6-(23,11,2128)

clan: 7-(24,12,2128), 1 times derived
$ {\bf PSL(2,19)}{\bf C}_{2}x^+$ % -group 7 PSL 2 19 Cyclic 2 Direct_sum Add_fixpoint PSL_2_19C2x+
derived from 7-(24,12,2128) (# 9329)
derived from supplementary of 7-(24,12,4060) (# 9342)

# 9325: 5-(23,11,6384)

clan: 7-(24,12,2128), 1 times reduced t, 1 times derived
design 6-(23,11,2128) (# 9324) with respect to smaller t
Tran van Trung construction (right) for 5-(22,10,2128) (# 9326) : der= 5-(22,10,2128) and res= 5-(22,11,4256) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,4256) (# 9327) : der= 5-(22,10,2128) and res= 5-(22,11,4256) - the given design is the residual.
derived from 6-(24,12,6384) (# 9328)
derived from supplementary of 6-(24,12,12180) (# 9337)
supplementary design of 6-(23,11,4060) (# 9338) with respect to smaller t

# 9326: 5-(22,10,2128)

clan: 7-(24,12,2128), 2 times derived
derived from 6-(23,11,2128) (# 9324)
derived from supplementary of 6-(23,11,4060) (# 9338)

# 9327: 5-(22,11,4256)

clan: 7-(24,12,2128), 1 times derived, 1 times residual
residual design of 6-(23,11,2128) (# 9324)
derived from 6-(23,12,4256) (# 9336)
residual design of supplementary of 6-(23,11,4060) (# 9338)
derived from supplementary of 6-(23,12,8120) (# 9339)

# 9328: 6-(24,12,6384)

clan: 7-(24,12,2128), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,2128) (# 9324)
design 7-(24,12,2128) (# 9329) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,4256) (# 9336) : der= 6-(23,11,2128) and res= 6-(23,12,4256) - the given design is the residual.
supplementary design of 7-(24,12,4060) (# 9342) with respect to smaller t

# 9329: 7-(24,12,2128)

clan: 7-(24,12,2128)
Alltop construction for design 6-(23,11,2128) (# 9324)

# 9330: 5-(23,11,12180)

clan: 7-(24,12,4060), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,2128) (# 9324) with respect to smaller t
derived from supplementary of 6-(24,12,6384) (# 9328)
Tran van Trung construction (right) for 5-(22,10,4060) (# 9331) : der= 5-(22,10,4060) and res= 5-(22,11,8120) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,8120) (# 9332) : der= 5-(22,10,4060) and res= 5-(22,11,8120) - the given design is the residual.
derived from 6-(24,12,12180) (# 9337)
design 6-(23,11,4060) (# 9338) with respect to smaller t

# 9331: 5-(22,10,4060)

clan: 7-(24,12,4060), 2 times derived
derived from supplementary of 6-(23,11,2128) (# 9324)
derived from 6-(23,11,4060) (# 9338)

# 9332: 5-(22,11,8120)

clan: 7-(24,12,4060), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,2128) (# 9324)
derived from supplementary of 6-(23,12,4256) (# 9336)
residual design of 6-(23,11,4060) (# 9338)
derived from 6-(23,12,8120) (# 9339)

# 9333: 5-(23,12,10944)

clan: 7-(24,12,2128), 1 times reduced t, 1 times residual
residual design of 6-(24,12,6384) (# 9328)
design 6-(23,12,4256) (# 9336) with respect to smaller t
residual design of supplementary of 6-(24,12,12180) (# 9337)
supplementary design of 6-(23,12,8120) (# 9339) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,6688) (# 9340) : der= 5-(22,11,4256) and res= 5-(22,12,6688) - the given design is the residual.

# 9334: 5-(24,12,33060)

clan: 7-(24,12,4060), 2 times reduced t
supplementary design of 6-(24,12,6384) (# 9328) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,12180) (# 9330)
Tran van Trung construction (right) for 5-(23,11,12180) (# 9330) : der= 5-(23,11,12180) and res= 5-(23,12,20880) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,20880) (# 9335) : der= 5-(23,11,12180) and res= 5-(23,12,20880) - the given design is the residual.
design 6-(24,12,12180) (# 9337) with respect to smaller t

# 9335: 5-(23,12,20880)

clan: 7-(24,12,4060), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,6384) (# 9328)
supplementary design of 6-(23,12,4256) (# 9336) with respect to smaller t
residual design of 6-(24,12,12180) (# 9337)
design 6-(23,12,8120) (# 9339) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,12760) (# 9341) : der= 5-(22,11,8120) and res= 5-(22,12,12760) - the given design is the residual.

# 9336: 6-(23,12,4256)

clan: 7-(24,12,2128), 1 times residual
residual design of 7-(24,12,2128) (# 9329)
residual design of supplementary of 7-(24,12,4060) (# 9342)

# 9337: 6-(24,12,12180)

clan: 7-(24,12,4060), 1 times reduced t
supplementary design of 7-(24,12,2128) (# 9329) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,4060) (# 9338)
Tran van Trung construction (right) for 6-(23,11,4060) (# 9338) : der= 6-(23,11,4060) and res= 6-(23,12,8120) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,8120) (# 9339) : der= 6-(23,11,4060) and res= 6-(23,12,8120) - the given design is the residual.
design 7-(24,12,4060) (# 9342) with respect to smaller t

# 9338: 6-(23,11,4060)

clan: 7-(24,12,4060), 1 times derived
derived from supplementary of 7-(24,12,2128) (# 9329)
derived from 7-(24,12,4060) (# 9342)

# 9339: 6-(23,12,8120)

clan: 7-(24,12,4060), 1 times residual
residual design of supplementary of 7-(24,12,2128) (# 9329)
residual design of 7-(24,12,4060) (# 9342)

# 9340: 5-(22,12,6688)

clan: 7-(24,12,2128), 2 times residual
residual design of 6-(23,12,4256) (# 9336)
residual design of supplementary of 6-(23,12,8120) (# 9339)

# 9341: 5-(22,12,12760)

clan: 7-(24,12,4060), 2 times residual
residual design of supplementary of 6-(23,12,4256) (# 9336)
residual design of 6-(23,12,8120) (# 9339)

# 9342: 7-(24,12,4060)

clan: 7-(24,12,4060)
Alltop construction for design 6-(23,11,4060) (# 9338)

# 9343: 6-(23,11,2142)

clan: 8-(24,12,630), 1 times reduced t, 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-(24,12,2142) (# 9345)
derived from supplementary of 7-(24,12,4046) (# 9357)
$ {\bf PSL(2,19)}{\bf S}_{3}x $% -group 6 PSL 2 19 Symmetric 3 Direct_sum PSL_2_19S3x

# 9344: 6-(24,12,6426)

clan: 8-(24,12,630), 2 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,2142) (# 9343)
design 7-(24,12,2142) (# 9345) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,4284) (# 9351) : der= 6-(23,11,2142) and res= 6-(23,12,4284) - the given design is the residual.
supplementary design of 7-(24,12,4046) (# 9357) with respect to smaller t

# 9345: 7-(24,12,2142)

clan: 8-(24,12,630), 1 times reduced t
Alltop construction for design 6-(23,11,2142) (# 9343)

# 9346: 5-(23,11,12138)

clan: 8-(24,12,1190), 2 times reduced t, 1 times derived
supplementary design of 6-(23,11,2142) (# 9343) with respect to smaller t
derived from supplementary of 6-(24,12,6426) (# 9344)
Tran van Trung construction (right) for 5-(22,10,4046) (# 9347) : der= 5-(22,10,4046) and res= 5-(22,11,8092) - the given design is the derived.
derived from 6-(24,12,12138) (# 9352)
design 6-(23,11,4046) (# 9353) with respect to smaller t

# 9347: 5-(22,10,4046)

clan: 8-(24,12,1190), 1 times reduced t, 2 times derived
derived from supplementary of 6-(23,11,2142) (# 9343)
derived from 6-(23,11,4046) (# 9353)

# 9348: 5-(23,12,11016)

clan: 8-(24,12,630), 2 times reduced t, 1 times residual
residual design of 6-(24,12,6426) (# 9344)
design 6-(23,12,4284) (# 9351) with respect to smaller t
residual design of supplementary of 6-(24,12,12138) (# 9352)
supplementary design of 6-(23,12,8092) (# 9354) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,6732) (# 9355) : der= 5-(22,11,4284) and res= 5-(22,12,6732) - the given design is the residual.

# 9349: 5-(24,12,32946)

clan: 8-(24,12,1190), 3 times reduced t
supplementary design of 6-(24,12,6426) (# 9344) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,12138) (# 9346)
Tran van Trung construction (right) for 5-(23,11,12138) (# 9346) : der= 5-(23,11,12138) and res= 5-(23,12,20808) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,20808) (# 9350) : der= 5-(23,11,12138) and res= 5-(23,12,20808) - the given design is the residual.
design 6-(24,12,12138) (# 9352) with respect to smaller t

# 9350: 5-(23,12,20808)

clan: 8-(24,12,1190), 2 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,6426) (# 9344)
supplementary design of 6-(23,12,4284) (# 9351) with respect to smaller t
residual design of 6-(24,12,12138) (# 9352)
design 6-(23,12,8092) (# 9354) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,12716) (# 9356) : der= 5-(22,11,8092) and res= 5-(22,12,12716) - the given design is the residual.

# 9351: 6-(23,12,4284)

clan: 8-(24,12,630), 1 times reduced t, 1 times residual
residual design of 7-(24,12,2142) (# 9345)
residual design of supplementary of 7-(24,12,4046) (# 9357)

# 9352: 6-(24,12,12138)

clan: 8-(24,12,1190), 2 times reduced t
supplementary design of 7-(24,12,2142) (# 9345) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,4046) (# 9353)
Tran van Trung construction (right) for 6-(23,11,4046) (# 9353) : der= 6-(23,11,4046) and res= 6-(23,12,8092) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,8092) (# 9354) : der= 6-(23,11,4046) and res= 6-(23,12,8092) - the given design is the residual.
design 7-(24,12,4046) (# 9357) with respect to smaller t

# 9353: 6-(23,11,4046)

clan: 8-(24,12,1190), 1 times reduced t, 1 times derived
derived from supplementary of 7-(24,12,2142) (# 9345)
derived from 7-(24,12,4046) (# 9357)

# 9354: 6-(23,12,8092)

clan: 8-(24,12,1190), 1 times reduced t, 1 times residual
residual design of supplementary of 7-(24,12,2142) (# 9345)
residual design of 7-(24,12,4046) (# 9357)

# 9355: 5-(22,12,6732)

clan: 8-(24,12,630), 1 times reduced t, 2 times residual
residual design of 6-(23,12,4284) (# 9351)
residual design of supplementary of 6-(23,12,8092) (# 9354)

# 9356: 5-(22,12,12716)

clan: 8-(24,12,1190), 1 times reduced t, 2 times residual
residual design of supplementary of 6-(23,12,4284) (# 9351)
residual design of 6-(23,12,8092) (# 9354)

# 9357: 7-(24,12,4046)

clan: 8-(24,12,1190), 1 times reduced t
Alltop construction for design 6-(23,11,4046) (# 9353)

# 9358: 6-(23,11,2156)

clan: 7-(24,12,2156), 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-(24,12,2156) (# 9360)
derived from supplementary of 7-(24,12,4032) (# 9373)

# 9359: 6-(24,12,6468)

clan: 7-(24,12,2156), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,2156) (# 9358)
design 7-(24,12,2156) (# 9360) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,4312) (# 9367) : der= 6-(23,11,2156) and res= 6-(23,12,4312) - the given design is the residual.
supplementary design of 7-(24,12,4032) (# 9373) with respect to smaller t

# 9360: 7-(24,12,2156)

clan: 7-(24,12,2156)
Alltop construction for design 6-(23,11,2156) (# 9358)

# 9361: 5-(23,11,12096)

clan: 7-(24,12,4032), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,2156) (# 9358) with respect to smaller t
derived from supplementary of 6-(24,12,6468) (# 9359)
Tran van Trung construction (right) for 5-(22,10,4032) (# 9362) : der= 5-(22,10,4032) and res= 5-(22,11,8064) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,8064) (# 9363) : der= 5-(22,10,4032) and res= 5-(22,11,8064) - the given design is the residual.
derived from 6-(24,12,12096) (# 9368)
design 6-(23,11,4032) (# 9369) with respect to smaller t

# 9362: 5-(22,10,4032)

clan: 7-(24,12,4032), 2 times derived
derived from supplementary of 6-(23,11,2156) (# 9358)
derived from 6-(23,11,4032) (# 9369)

# 9363: 5-(22,11,8064)

clan: 7-(24,12,4032), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,2156) (# 9358)
derived from supplementary of 6-(23,12,4312) (# 9367)
residual design of 6-(23,11,4032) (# 9369)
derived from 6-(23,12,8064) (# 9370)

# 9364: 5-(23,12,11088)

clan: 7-(24,12,2156), 1 times reduced t, 1 times residual
residual design of 6-(24,12,6468) (# 9359)
design 6-(23,12,4312) (# 9367) with respect to smaller t
residual design of supplementary of 6-(24,12,12096) (# 9368)
supplementary design of 6-(23,12,8064) (# 9370) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,6776) (# 9371) : der= 5-(22,11,4312) and res= 5-(22,12,6776) - the given design is the residual.

# 9365: 5-(24,12,32832)

clan: 7-(24,12,4032), 2 times reduced t
supplementary design of 6-(24,12,6468) (# 9359) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,12096) (# 9361)
Tran van Trung construction (right) for 5-(23,11,12096) (# 9361) : der= 5-(23,11,12096) and res= 5-(23,12,20736) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,20736) (# 9366) : der= 5-(23,11,12096) and res= 5-(23,12,20736) - the given design is the residual.
design 6-(24,12,12096) (# 9368) with respect to smaller t

# 9366: 5-(23,12,20736)

clan: 7-(24,12,4032), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,6468) (# 9359)
supplementary design of 6-(23,12,4312) (# 9367) with respect to smaller t
residual design of 6-(24,12,12096) (# 9368)
design 6-(23,12,8064) (# 9370) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,12672) (# 9372) : der= 5-(22,11,8064) and res= 5-(22,12,12672) - the given design is the residual.

# 9367: 6-(23,12,4312)

clan: 7-(24,12,2156), 1 times residual
residual design of 7-(24,12,2156) (# 9360)
residual design of supplementary of 7-(24,12,4032) (# 9373)

# 9368: 6-(24,12,12096)

clan: 7-(24,12,4032), 1 times reduced t
supplementary design of 7-(24,12,2156) (# 9360) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,4032) (# 9369)
Tran van Trung construction (right) for 6-(23,11,4032) (# 9369) : der= 6-(23,11,4032) and res= 6-(23,12,8064) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,8064) (# 9370) : der= 6-(23,11,4032) and res= 6-(23,12,8064) - the given design is the residual.
design 7-(24,12,4032) (# 9373) with respect to smaller t

# 9369: 6-(23,11,4032)

clan: 7-(24,12,4032), 1 times derived
derived from supplementary of 7-(24,12,2156) (# 9360)
derived from 7-(24,12,4032) (# 9373)

# 9370: 6-(23,12,8064)

clan: 7-(24,12,4032), 1 times residual
residual design of supplementary of 7-(24,12,2156) (# 9360)
residual design of 7-(24,12,4032) (# 9373)

# 9371: 5-(22,12,6776)

clan: 7-(24,12,2156), 2 times residual
residual design of 6-(23,12,4312) (# 9367)
residual design of supplementary of 6-(23,12,8064) (# 9370)

# 9372: 5-(22,12,12672)

clan: 7-(24,12,4032), 2 times residual
residual design of supplementary of 6-(23,12,4312) (# 9367)
residual design of 6-(23,12,8064) (# 9370)

# 9373: 7-(24,12,4032)

clan: 7-(24,12,4032)
Alltop construction for design 6-(23,11,4032) (# 9369)

# 9374: 6-(23,11,2198)

clan: 7-(24,12,2198), 1 times derived
$ {\bf PSL(2,19)}{\bf C}_{2}x^+$ % -group 7 PSL 2 19 Cyclic 2 Direct_sum Add_fixpoint PSL_2_19C2x+
derived from 7-(24,12,2198) (# 9378)
derived from supplementary of 7-(24,12,3990) (# 9391)

# 9375: 5-(23,11,6594)

clan: 7-(24,12,2198), 1 times reduced t, 1 times derived
design 6-(23,11,2198) (# 9374) with respect to smaller t
Tran van Trung construction (right) for 5-(22,10,2198) (# 9376) : der= 5-(22,10,2198) and res= 5-(22,11,4396) - the given design is the derived.
derived from 6-(24,12,6594) (# 9377)
derived from supplementary of 6-(24,12,11970) (# 9386)
supplementary design of 6-(23,11,3990) (# 9387) with respect to smaller t

# 9376: 5-(22,10,2198)

clan: 7-(24,12,2198), 2 times derived
derived from 6-(23,11,2198) (# 9374)
derived from supplementary of 6-(23,11,3990) (# 9387)

# 9377: 6-(24,12,6594)

clan: 7-(24,12,2198), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,2198) (# 9374)
design 7-(24,12,2198) (# 9378) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,4396) (# 9385) : der= 6-(23,11,2198) and res= 6-(23,12,4396) - the given design is the residual.
supplementary design of 7-(24,12,3990) (# 9391) with respect to smaller t

# 9378: 7-(24,12,2198)

clan: 7-(24,12,2198)
Alltop construction for design 6-(23,11,2198) (# 9374)

# 9379: 5-(23,11,11970)

clan: 7-(24,12,3990), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,2198) (# 9374) with respect to smaller t
derived from supplementary of 6-(24,12,6594) (# 9377)
Tran van Trung construction (right) for 5-(22,10,3990) (# 9380) : der= 5-(22,10,3990) and res= 5-(22,11,7980) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,7980) (# 9381) : der= 5-(22,10,3990) and res= 5-(22,11,7980) - the given design is the residual.
derived from 6-(24,12,11970) (# 9386)
design 6-(23,11,3990) (# 9387) with respect to smaller t

# 9380: 5-(22,10,3990)

clan: 7-(24,12,3990), 2 times derived
derived from supplementary of 6-(23,11,2198) (# 9374)
derived from 6-(23,11,3990) (# 9387)

# 9381: 5-(22,11,7980)

clan: 7-(24,12,3990), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,2198) (# 9374)
derived from supplementary of 6-(23,12,4396) (# 9385)
residual design of 6-(23,11,3990) (# 9387)
derived from 6-(23,12,7980) (# 9388)

# 9382: 5-(23,12,11304)

clan: 7-(24,12,2198), 1 times reduced t, 1 times residual
residual design of 6-(24,12,6594) (# 9377)
design 6-(23,12,4396) (# 9385) with respect to smaller t
residual design of supplementary of 6-(24,12,11970) (# 9386)
supplementary design of 6-(23,12,7980) (# 9388) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,6908) (# 9389) : der= 5-(22,11,4396) and res= 5-(22,12,6908) - the given design is the residual.

# 9383: 5-(24,12,32490)

clan: 7-(24,12,3990), 2 times reduced t
supplementary design of 6-(24,12,6594) (# 9377) with respect to smaller t
Tran van Trung construction with complementary design for 5-(23,11,11970) (# 9379)
Tran van Trung construction (right) for 5-(23,11,11970) (# 9379) : der= 5-(23,11,11970) and res= 5-(23,12,20520) - the given design is the derived.
Tran van Trung construction (left) for 5-(23,12,20520) (# 9384) : der= 5-(23,11,11970) and res= 5-(23,12,20520) - the given design is the residual.
design 6-(24,12,11970) (# 9386) with respect to smaller t

# 9384: 5-(23,12,20520)

clan: 7-(24,12,3990), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(24,12,6594) (# 9377)
supplementary design of 6-(23,12,4396) (# 9385) with respect to smaller t
residual design of 6-(24,12,11970) (# 9386)
design 6-(23,12,7980) (# 9388) with respect to smaller t
Tran van Trung construction (left) for 5-(22,12,12540) (# 9390) : der= 5-(22,11,7980) and res= 5-(22,12,12540) - the given design is the residual.

# 9385: 6-(23,12,4396)

clan: 7-(24,12,2198), 1 times residual
residual design of 7-(24,12,2198) (# 9378)
residual design of supplementary of 7-(24,12,3990) (# 9391)

# 9386: 6-(24,12,11970)

clan: 7-(24,12,3990), 1 times reduced t
supplementary design of 7-(24,12,2198) (# 9378) with respect to smaller t
Tran van Trung construction with complementary design for 6-(23,11,3990) (# 9387)
Tran van Trung construction (right) for 6-(23,11,3990) (# 9387) : der= 6-(23,11,3990) and res= 6-(23,12,7980) - the given design is the derived.
Tran van Trung construction (left) for 6-(23,12,7980) (# 9388) : der= 6-(23,11,3990) and res= 6-(23,12,7980) - the given design is the residual.
design 7-(24,12,3990) (# 9391) with respect to smaller t

# 9387: 6-(23,11,3990)

clan: 7-(24,12,3990), 1 times derived
derived from supplementary of 7-(24,12,2198) (# 9378)
derived from 7-(24,12,3990) (# 9391)

# 9388: 6-(23,12,7980)

clan: 7-(24,12,3990), 1 times residual
residual design of supplementary of 7-(24,12,2198) (# 9378)
residual design of 7-(24,12,3990) (# 9391)

# 9389: 5-(22,12,6908)

clan: 7-(24,12,2198), 2 times residual
residual design of 6-(23,12,4396) (# 9385)
residual design of supplementary of 6-(23,12,7980) (# 9388)

# 9390: 5-(22,12,12540)

clan: 7-(24,12,3990), 2 times residual
residual design of supplementary of 6-(23,12,4396) (# 9385)
residual design of 6-(23,12,7980) (# 9388)

# 9391: 7-(24,12,3990)

clan: 7-(24,12,3990)
Alltop construction for design 6-(23,11,3990) (# 9387)

# 9392: 6-(23,11,2226)

clan: 7-(24,12,2226), 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-(24,12,2226) (# 9396)
derived from supplementary of 7-(24,12,3962) (# 9409)

# 9393: 5-(23,11,6678)

clan: 7-(24,12,2226), 1 times reduced t, 1 times derived
design 6-(23,11,2226) (# 9392) with respect to smaller t
Tran van Trung construction (right) for 5-(22,10,2226) (# 9394) : der= 5-(22,10,2226) and res= 5-(22,11,4452) - the given design is the derived.
derived from 6-(24,12,6678) (# 9395)
derived from supplementary of 6-(24,12,11886) (# 9404)
supplementary design of 6-(23,11,3962) (# 9405) with respect to smaller t

# 9394: 5-(22,10,2226)

clan: 7-(24,12,2226), 2 times derived
derived from 6-(23,11,2226) (# 9392)
derived from supplementary of 6-(23,11,3962) (# 9405)

# 9395: 6-(24,12,6678)

clan: 7-(24,12,2226), 1 times reduced t
Tran van Trung construction with complementary design for 6-(23,11,2226) (# 9392)
design 7-(24,12,2226) (# 9396) with respect to smaller t
Tran van Trung construction (left) for 6-(23,12,4452) (# 9403) : der= 6-(23,11,2226) and res= 6-(23,12,4452) - the given design is the residual.
supplementary design of 7-(24,12,3962) (# 9409) with respect to smaller t

# 9396: 7-(24,12,2226)

clan: 7-(24,12,2226)
Alltop construction for design 6-(23,11,2226) (# 9392)

# 9397: 5-(23,11,11886)

clan: 7-(24,12,3962), 1 times reduced t, 1 times derived
supplementary design of 6-(23,11,2226) (# 9392) with respect to smaller t
derived from supplementary of 6-(24,12,6678) (# 9395)
Tran van Trung construction (right) for 5-(22,10,3962) (# 9398) : der= 5-(22,10,3962) and res= 5-(22,11,7924) - the given design is the derived.
Tran van Trung construction (left) for 5-(22,11,7924) (# 9399) : der= 5-(22,10,3962) and res= 5-(22,11,7924) - the given design is the residual.
derived from 6-(24,12,11886) (# 9404)
design 6-(23,11,3962) (# 9405) with respect to smaller t

# 9398: 5-(22,10,3962)

clan: 7-(24,12,3962), 2 times derived
derived from supplementary of 6-(23,11,2226) (# 9392)
derived from 6-(23,11,3962) (# 9405)

# 9399: 5-(22,11,7924)

clan: 7-(24,12,3962), 1 times derived, 1 times residual
residual design of supplementary of 6-(23,11,2226) (# 9392)
derived from supplementary of 6-(23,12,4452) (# 9403)
residual design of 6-(23,11,3962) (# 9405)
derived from 6-(23,12,7924) (# 9406)

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