t designs with small t, id ge 17300

# 17300: 5-(39,10,51408)

clan: 7-(40,10,1008), 1 times reduced t, 1 times residual
residual design of 6-(40,10,8568) (# 17292)
design 6-(39,10,7560) (# 17294) with respect to smaller t
residual design of supplementary of 6-(40,10,37808) (# 17295)
supplementary design of 6-(39,10,33360) (# 17297) with respect to smaller t
Tran van Trung construction (right) for 5-(38,9,7560) (# 17305) : der= 5-(38,9,7560) and res= 5-(38,10,43848) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,10,43848) (# 17308) : der= 5-(38,9,7560) and res= 5-(38,10,43848) - the given design is the residual.

# 17301: 5-(40,10,264656)

clan: 7-(40,10,4448), 2 times reduced t
supplementary design of 6-(40,10,8568) (# 17292) with respect to smaller t
design 6-(40,10,37808) (# 17295) with respect to smaller t
Tran van Trung construction (right) for 5-(39,9,37808) (# 17302) : der= 5-(39,9,37808) and res= 5-(39,10,226848) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,10,226848) (# 17303) : der= 5-(39,9,37808) and res= 5-(39,10,226848) - the given design is the residual.

# 17302: 5-(39,9,37808)

clan: 7-(40,10,4448), 1 times reduced t, 1 times derived
derived from supplementary of 6-(40,10,8568) (# 17292)
supplementary design of 6-(39,9,1008) (# 17293) with respect to smaller t
derived from 6-(40,10,37808) (# 17295)
design 6-(39,9,4448) (# 17296) with respect to smaller t
Tran van Trung construction (right) for 5-(38,8,4448) (# 17306) : der= 5-(38,8,4448) and res= 5-(38,9,33360) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,9,33360) (# 17307) : der= 5-(38,8,4448) and res= 5-(38,9,33360) - the given design is the residual.

# 17303: 5-(39,10,226848)

clan: 7-(40,10,4448), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(40,10,8568) (# 17292)
supplementary design of 6-(39,10,7560) (# 17294) with respect to smaller t
residual design of 6-(40,10,37808) (# 17295)
design 6-(39,10,33360) (# 17297) with respect to smaller t
Tran van Trung construction (right) for 5-(38,9,33360) (# 17307) : der= 5-(38,9,33360) and res= 5-(38,10,193488) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,10,193488) (# 17309) : der= 5-(38,9,33360) and res= 5-(38,10,193488) - the given design is the residual.

# 17304: 5-(38,8,1008)

clan: 7-(40,10,1008), 2 times derived
derived from 6-(39,9,1008) (# 17293)
derived from supplementary of 6-(39,9,4448) (# 17296)

# 17305: 5-(38,9,7560)

clan: 7-(40,10,1008), 1 times derived, 1 times residual
residual design of 6-(39,9,1008) (# 17293)
derived from 6-(39,10,7560) (# 17294)
residual design of supplementary of 6-(39,9,4448) (# 17296)
derived from supplementary of 6-(39,10,33360) (# 17297)

# 17306: 5-(38,8,4448)

clan: 7-(40,10,4448), 2 times derived
derived from supplementary of 6-(39,9,1008) (# 17293)
derived from 6-(39,9,4448) (# 17296)

# 17307: 5-(38,9,33360)

clan: 7-(40,10,4448), 1 times derived, 1 times residual
residual design of supplementary of 6-(39,9,1008) (# 17293)
derived from supplementary of 6-(39,10,7560) (# 17294)
residual design of 6-(39,9,4448) (# 17296)
derived from 6-(39,10,33360) (# 17297)

# 17308: 5-(38,10,43848)

clan: 7-(40,10,1008), 2 times residual
residual design of 6-(39,10,7560) (# 17294)
residual design of supplementary of 6-(39,10,33360) (# 17297)

# 17309: 5-(38,10,193488)

clan: 7-(40,10,4448), 2 times residual
residual design of supplementary of 6-(39,10,7560) (# 17294)
residual design of 6-(39,10,33360) (# 17297)

# 17310: 7-(40,10,1208)

clan: 7-(40,10,1208)
$PSL(4,3)$ (many isomorphism types)

# 17311: 6-(40,10,10268)

clan: 7-(40,10,1208), 1 times reduced t
design 7-(40,10,1208) (# 17310) with respect to smaller t
Tran van Trung construction (right) for 6-(39,9,1208) (# 17312) : der= 6-(39,9,1208) and res= 6-(39,10,9060) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,10,9060) (# 17313) : der= 6-(39,9,1208) and res= 6-(39,10,9060) - the given design is the residual.

# 17312: 6-(39,9,1208)

clan: 7-(40,10,1208), 1 times derived
derived from 7-(40,10,1208) (# 17310)

# 17313: 6-(39,10,9060)

clan: 7-(40,10,1208), 1 times residual
residual design of 7-(40,10,1208) (# 17310)

# 17314: 6-(40,10,36108)

clan: 7-(40,10,4248), 1 times reduced t
supplementary design of 7-(40,10,1208) (# 17310) with respect to smaller t
Tran van Trung construction (right) for 6-(39,9,4248) (# 17315) : der= 6-(39,9,4248) and res= 6-(39,10,31860) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,10,31860) (# 17316) : der= 6-(39,9,4248) and res= 6-(39,10,31860) - the given design is the residual.

# 17315: 6-(39,9,4248)

clan: 7-(40,10,4248), 1 times derived
derived from supplementary of 7-(40,10,1208) (# 17310)

# 17316: 6-(39,10,31860)

clan: 7-(40,10,4248), 1 times residual
residual design of supplementary of 7-(40,10,1208) (# 17310)

# 17317: 5-(40,10,71876)

clan: 7-(40,10,1208), 2 times reduced t
design 6-(40,10,10268) (# 17311) with respect to smaller t
supplementary design of 6-(40,10,36108) (# 17314) with respect to smaller t
Tran van Trung construction (right) for 5-(39,9,10268) (# 17318) : der= 5-(39,9,10268) and res= 5-(39,10,61608) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,10,61608) (# 17319) : der= 5-(39,9,10268) and res= 5-(39,10,61608) - the given design is the residual.

# 17318: 5-(39,9,10268)

clan: 7-(40,10,1208), 1 times reduced t, 1 times derived
derived from 6-(40,10,10268) (# 17311)
design 6-(39,9,1208) (# 17312) with respect to smaller t
derived from supplementary of 6-(40,10,36108) (# 17314)
supplementary design of 6-(39,9,4248) (# 17315) with respect to smaller t
Tran van Trung construction (right) for 5-(38,8,1208) (# 17323) : der= 5-(38,8,1208) and res= 5-(38,9,9060) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,9,9060) (# 17324) : der= 5-(38,8,1208) and res= 5-(38,9,9060) - the given design is the residual.

# 17319: 5-(39,10,61608)

clan: 7-(40,10,1208), 1 times reduced t, 1 times residual
residual design of 6-(40,10,10268) (# 17311)
design 6-(39,10,9060) (# 17313) with respect to smaller t
residual design of supplementary of 6-(40,10,36108) (# 17314)
supplementary design of 6-(39,10,31860) (# 17316) with respect to smaller t
Tran van Trung construction (right) for 5-(38,9,9060) (# 17324) : der= 5-(38,9,9060) and res= 5-(38,10,52548) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,10,52548) (# 17327) : der= 5-(38,9,9060) and res= 5-(38,10,52548) - the given design is the residual.

# 17320: 5-(40,10,252756)

clan: 7-(40,10,4248), 2 times reduced t
supplementary design of 6-(40,10,10268) (# 17311) with respect to smaller t
design 6-(40,10,36108) (# 17314) with respect to smaller t
Tran van Trung construction (right) for 5-(39,9,36108) (# 17321) : der= 5-(39,9,36108) and res= 5-(39,10,216648) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,10,216648) (# 17322) : der= 5-(39,9,36108) and res= 5-(39,10,216648) - the given design is the residual.

# 17321: 5-(39,9,36108)

clan: 7-(40,10,4248), 1 times reduced t, 1 times derived
derived from supplementary of 6-(40,10,10268) (# 17311)
supplementary design of 6-(39,9,1208) (# 17312) with respect to smaller t
derived from 6-(40,10,36108) (# 17314)
design 6-(39,9,4248) (# 17315) with respect to smaller t
Tran van Trung construction (right) for 5-(38,8,4248) (# 17325) : der= 5-(38,8,4248) and res= 5-(38,9,31860) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,9,31860) (# 17326) : der= 5-(38,8,4248) and res= 5-(38,9,31860) - the given design is the residual.

# 17322: 5-(39,10,216648)

clan: 7-(40,10,4248), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(40,10,10268) (# 17311)
supplementary design of 6-(39,10,9060) (# 17313) with respect to smaller t
residual design of 6-(40,10,36108) (# 17314)
design 6-(39,10,31860) (# 17316) with respect to smaller t
Tran van Trung construction (right) for 5-(38,9,31860) (# 17326) : der= 5-(38,9,31860) and res= 5-(38,10,184788) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,10,184788) (# 17328) : der= 5-(38,9,31860) and res= 5-(38,10,184788) - the given design is the residual.

# 17323: 5-(38,8,1208)

clan: 7-(40,10,1208), 2 times derived
derived from 6-(39,9,1208) (# 17312)
derived from supplementary of 6-(39,9,4248) (# 17315)

# 17324: 5-(38,9,9060)

clan: 7-(40,10,1208), 1 times derived, 1 times residual
residual design of 6-(39,9,1208) (# 17312)
derived from 6-(39,10,9060) (# 17313)
residual design of supplementary of 6-(39,9,4248) (# 17315)
derived from supplementary of 6-(39,10,31860) (# 17316)

# 17325: 5-(38,8,4248)

clan: 7-(40,10,4248), 2 times derived
derived from supplementary of 6-(39,9,1208) (# 17312)
derived from 6-(39,9,4248) (# 17315)

# 17326: 5-(38,9,31860)

clan: 7-(40,10,4248), 1 times derived, 1 times residual
residual design of supplementary of 6-(39,9,1208) (# 17312)
derived from supplementary of 6-(39,10,9060) (# 17313)
residual design of 6-(39,9,4248) (# 17315)
derived from 6-(39,10,31860) (# 17316)

# 17327: 5-(38,10,52548)

clan: 7-(40,10,1208), 2 times residual
residual design of 6-(39,10,9060) (# 17313)
residual design of supplementary of 6-(39,10,31860) (# 17316)

# 17328: 5-(38,10,184788)

clan: 7-(40,10,4248), 2 times residual
residual design of supplementary of 6-(39,10,9060) (# 17313)
residual design of 6-(39,10,31860) (# 17316)

# 17329: 7-(40,10,1296)

clan: 7-(40,10,1296)
$PSL(4,3)$ (many isomorphism types)

# 17330: 6-(39,9,1296)

clan: 7-(40,10,1296), 1 times derived
derived from 7-(40,10,1296) (# 17329)

# 17331: 6-(39,10,9720)

clan: 7-(40,10,1296), 1 times residual
residual design of 7-(40,10,1296) (# 17329)

# 17332: 6-(40,10,35360)

clan: 7-(40,10,4160), 1 times reduced t
supplementary design of 7-(40,10,1296) (# 17329) with respect to smaller t
Tran van Trung construction (right) for 6-(39,9,4160) (# 17333) : der= 6-(39,9,4160) and res= 6-(39,10,31200) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,10,31200) (# 17334) : der= 6-(39,9,4160) and res= 6-(39,10,31200) - the given design is the residual.

# 17333: 6-(39,9,4160)

clan: 7-(40,10,4160), 1 times derived
derived from supplementary of 7-(40,10,1296) (# 17329)

# 17334: 6-(39,10,31200)

clan: 7-(40,10,4160), 1 times residual
residual design of supplementary of 7-(40,10,1296) (# 17329)

# 17335: 5-(38,8,1296)

clan: 7-(40,10,1296), 2 times derived
derived from 6-(39,9,1296) (# 17330)
derived from supplementary of 6-(39,9,4160) (# 17333)

# 17336: 5-(38,9,9720)

clan: 7-(40,10,1296), 1 times derived, 1 times residual
residual design of 6-(39,9,1296) (# 17330)
derived from 6-(39,10,9720) (# 17331)
residual design of supplementary of 6-(39,9,4160) (# 17333)
derived from supplementary of 6-(39,10,31200) (# 17334)

# 17337: 5-(38,8,4160)

clan: 7-(40,10,4160), 2 times derived
derived from supplementary of 6-(39,9,1296) (# 17330)
derived from 6-(39,9,4160) (# 17333)

# 17338: 5-(38,9,31200)

clan: 7-(40,10,4160), 1 times derived, 1 times residual
residual design of supplementary of 6-(39,9,1296) (# 17330)
derived from supplementary of 6-(39,10,9720) (# 17331)
residual design of 6-(39,9,4160) (# 17333)
derived from 6-(39,10,31200) (# 17334)

# 17339: 5-(38,10,56376)

clan: 7-(40,10,1296), 2 times residual
residual design of 6-(39,10,9720) (# 17331)
residual design of supplementary of 6-(39,10,31200) (# 17334)

# 17340: 5-(38,10,180960)

clan: 7-(40,10,4160), 2 times residual
residual design of supplementary of 6-(39,10,9720) (# 17331)
residual design of 6-(39,10,31200) (# 17334)

# 17341: 7-(40,10,1568)

clan: 7-(40,10,1568)
$PSL(4,3)$ (many isomorphism types)

# 17342: 6-(40,10,13328)

clan: 7-(40,10,1568), 1 times reduced t
design 7-(40,10,1568) (# 17341) with respect to smaller t
Tran van Trung construction (right) for 6-(39,9,1568) (# 17343) : der= 6-(39,9,1568) and res= 6-(39,10,11760) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,10,11760) (# 17344) : der= 6-(39,9,1568) and res= 6-(39,10,11760) - the given design is the residual.

# 17343: 6-(39,9,1568)

clan: 7-(40,10,1568), 1 times derived
derived from 7-(40,10,1568) (# 17341)

# 17344: 6-(39,10,11760)

clan: 7-(40,10,1568), 1 times residual
residual design of 7-(40,10,1568) (# 17341)

# 17345: 6-(40,10,33048)

clan: 7-(40,10,3888), 1 times reduced t
supplementary design of 7-(40,10,1568) (# 17341) with respect to smaller t
Tran van Trung construction (right) for 6-(39,9,3888) (# 17346) : der= 6-(39,9,3888) and res= 6-(39,10,29160) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,10,29160) (# 17347) : der= 6-(39,9,3888) and res= 6-(39,10,29160) - the given design is the residual.

# 17346: 6-(39,9,3888)

clan: 7-(40,10,3888), 1 times derived
derived from supplementary of 7-(40,10,1568) (# 17341)

# 17347: 6-(39,10,29160)

clan: 7-(40,10,3888), 1 times residual
residual design of supplementary of 7-(40,10,1568) (# 17341)

# 17348: 5-(40,10,93296)

clan: 7-(40,10,1568), 2 times reduced t
design 6-(40,10,13328) (# 17342) with respect to smaller t
supplementary design of 6-(40,10,33048) (# 17345) with respect to smaller t
Tran van Trung construction (right) for 5-(39,9,13328) (# 17349) : der= 5-(39,9,13328) and res= 5-(39,10,79968) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,10,79968) (# 17350) : der= 5-(39,9,13328) and res= 5-(39,10,79968) - the given design is the residual.

# 17349: 5-(39,9,13328)

clan: 7-(40,10,1568), 1 times reduced t, 1 times derived
derived from 6-(40,10,13328) (# 17342)
design 6-(39,9,1568) (# 17343) with respect to smaller t
derived from supplementary of 6-(40,10,33048) (# 17345)
supplementary design of 6-(39,9,3888) (# 17346) with respect to smaller t
Tran van Trung construction (right) for 5-(38,8,1568) (# 17354) : der= 5-(38,8,1568) and res= 5-(38,9,11760) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,9,11760) (# 17355) : der= 5-(38,8,1568) and res= 5-(38,9,11760) - the given design is the residual.

# 17350: 5-(39,10,79968)

clan: 7-(40,10,1568), 1 times reduced t, 1 times residual
residual design of 6-(40,10,13328) (# 17342)
design 6-(39,10,11760) (# 17344) with respect to smaller t
residual design of supplementary of 6-(40,10,33048) (# 17345)
supplementary design of 6-(39,10,29160) (# 17347) with respect to smaller t
Tran van Trung construction (right) for 5-(38,9,11760) (# 17355) : der= 5-(38,9,11760) and res= 5-(38,10,68208) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,10,68208) (# 17358) : der= 5-(38,9,11760) and res= 5-(38,10,68208) - the given design is the residual.

# 17351: 5-(40,10,231336)

clan: 7-(40,10,3888), 2 times reduced t
supplementary design of 6-(40,10,13328) (# 17342) with respect to smaller t
design 6-(40,10,33048) (# 17345) with respect to smaller t
Tran van Trung construction (right) for 5-(39,9,33048) (# 17352) : der= 5-(39,9,33048) and res= 5-(39,10,198288) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,10,198288) (# 17353) : der= 5-(39,9,33048) and res= 5-(39,10,198288) - the given design is the residual.

# 17352: 5-(39,9,33048)

clan: 7-(40,10,3888), 1 times reduced t, 1 times derived
derived from supplementary of 6-(40,10,13328) (# 17342)
supplementary design of 6-(39,9,1568) (# 17343) with respect to smaller t
derived from 6-(40,10,33048) (# 17345)
design 6-(39,9,3888) (# 17346) with respect to smaller t
Tran van Trung construction (right) for 5-(38,8,3888) (# 17356) : der= 5-(38,8,3888) and res= 5-(38,9,29160) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,9,29160) (# 17357) : der= 5-(38,8,3888) and res= 5-(38,9,29160) - the given design is the residual.

# 17353: 5-(39,10,198288)

clan: 7-(40,10,3888), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(40,10,13328) (# 17342)
supplementary design of 6-(39,10,11760) (# 17344) with respect to smaller t
residual design of 6-(40,10,33048) (# 17345)
design 6-(39,10,29160) (# 17347) with respect to smaller t
Tran van Trung construction (right) for 5-(38,9,29160) (# 17357) : der= 5-(38,9,29160) and res= 5-(38,10,169128) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,10,169128) (# 17359) : der= 5-(38,9,29160) and res= 5-(38,10,169128) - the given design is the residual.

# 17354: 5-(38,8,1568)

clan: 7-(40,10,1568), 2 times derived
derived from 6-(39,9,1568) (# 17343)
derived from supplementary of 6-(39,9,3888) (# 17346)

# 17355: 5-(38,9,11760)

clan: 7-(40,10,1568), 1 times derived, 1 times residual
residual design of 6-(39,9,1568) (# 17343)
derived from 6-(39,10,11760) (# 17344)
residual design of supplementary of 6-(39,9,3888) (# 17346)
derived from supplementary of 6-(39,10,29160) (# 17347)

# 17356: 5-(38,8,3888)

clan: 7-(40,10,3888), 2 times derived
derived from supplementary of 6-(39,9,1568) (# 17343)
derived from 6-(39,9,3888) (# 17346)

# 17357: 5-(38,9,29160)

clan: 7-(40,10,3888), 1 times derived, 1 times residual
residual design of supplementary of 6-(39,9,1568) (# 17343)
derived from supplementary of 6-(39,10,11760) (# 17344)
residual design of 6-(39,9,3888) (# 17346)
derived from 6-(39,10,29160) (# 17347)

# 17358: 5-(38,10,68208)

clan: 7-(40,10,1568), 2 times residual
residual design of 6-(39,10,11760) (# 17344)
residual design of supplementary of 6-(39,10,29160) (# 17347)

# 17359: 5-(38,10,169128)

clan: 7-(40,10,3888), 2 times residual
residual design of supplementary of 6-(39,10,11760) (# 17344)
residual design of 6-(39,10,29160) (# 17347)

# 17360: 7-(40,10,1656)

clan: 7-(40,10,1656)
$PSL(4,3)$ (many isomorphism types)

# 17361: 6-(40,10,14076)

clan: 7-(40,10,1656), 1 times reduced t
design 7-(40,10,1656) (# 17360) with respect to smaller t
Tran van Trung construction (right) for 6-(39,9,1656) (# 17362) : der= 6-(39,9,1656) and res= 6-(39,10,12420) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,10,12420) (# 17363) : der= 6-(39,9,1656) and res= 6-(39,10,12420) - the given design is the residual.

# 17362: 6-(39,9,1656)

clan: 7-(40,10,1656), 1 times derived
derived from 7-(40,10,1656) (# 17360)

# 17363: 6-(39,10,12420)

clan: 7-(40,10,1656), 1 times residual
residual design of 7-(40,10,1656) (# 17360)

# 17364: 6-(40,10,32300)

clan: 7-(40,10,3800), 1 times reduced t
supplementary design of 7-(40,10,1656) (# 17360) with respect to smaller t
Tran van Trung construction (right) for 6-(39,9,3800) (# 17365) : der= 6-(39,9,3800) and res= 6-(39,10,28500) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,10,28500) (# 17366) : der= 6-(39,9,3800) and res= 6-(39,10,28500) - the given design is the residual.

# 17365: 6-(39,9,3800)

clan: 7-(40,10,3800), 1 times derived
derived from supplementary of 7-(40,10,1656) (# 17360)

# 17366: 6-(39,10,28500)

clan: 7-(40,10,3800), 1 times residual
residual design of supplementary of 7-(40,10,1656) (# 17360)

# 17367: 5-(40,10,98532)

clan: 7-(40,10,1656), 2 times reduced t
design 6-(40,10,14076) (# 17361) with respect to smaller t
supplementary design of 6-(40,10,32300) (# 17364) with respect to smaller t
Tran van Trung construction (right) for 5-(39,9,14076) (# 17368) : der= 5-(39,9,14076) and res= 5-(39,10,84456) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,10,84456) (# 17369) : der= 5-(39,9,14076) and res= 5-(39,10,84456) - the given design is the residual.

# 17368: 5-(39,9,14076)

clan: 7-(40,10,1656), 1 times reduced t, 1 times derived
derived from 6-(40,10,14076) (# 17361)
design 6-(39,9,1656) (# 17362) with respect to smaller t
derived from supplementary of 6-(40,10,32300) (# 17364)
supplementary design of 6-(39,9,3800) (# 17365) with respect to smaller t
Tran van Trung construction (right) for 5-(38,8,1656) (# 17373) : der= 5-(38,8,1656) and res= 5-(38,9,12420) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,9,12420) (# 17374) : der= 5-(38,8,1656) and res= 5-(38,9,12420) - the given design is the residual.

# 17369: 5-(39,10,84456)

clan: 7-(40,10,1656), 1 times reduced t, 1 times residual
residual design of 6-(40,10,14076) (# 17361)
design 6-(39,10,12420) (# 17363) with respect to smaller t
residual design of supplementary of 6-(40,10,32300) (# 17364)
supplementary design of 6-(39,10,28500) (# 17366) with respect to smaller t
Tran van Trung construction (right) for 5-(38,9,12420) (# 17374) : der= 5-(38,9,12420) and res= 5-(38,10,72036) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,10,72036) (# 17377) : der= 5-(38,9,12420) and res= 5-(38,10,72036) - the given design is the residual.

# 17370: 5-(40,10,226100)

clan: 7-(40,10,3800), 2 times reduced t
supplementary design of 6-(40,10,14076) (# 17361) with respect to smaller t
design 6-(40,10,32300) (# 17364) with respect to smaller t
Tran van Trung construction (right) for 5-(39,9,32300) (# 17371) : der= 5-(39,9,32300) and res= 5-(39,10,193800) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,10,193800) (# 17372) : der= 5-(39,9,32300) and res= 5-(39,10,193800) - the given design is the residual.

# 17371: 5-(39,9,32300)

clan: 7-(40,10,3800), 1 times reduced t, 1 times derived
derived from supplementary of 6-(40,10,14076) (# 17361)
supplementary design of 6-(39,9,1656) (# 17362) with respect to smaller t
derived from 6-(40,10,32300) (# 17364)
design 6-(39,9,3800) (# 17365) with respect to smaller t
Tran van Trung construction (right) for 5-(38,8,3800) (# 17375) : der= 5-(38,8,3800) and res= 5-(38,9,28500) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,9,28500) (# 17376) : der= 5-(38,8,3800) and res= 5-(38,9,28500) - the given design is the residual.

# 17372: 5-(39,10,193800)

clan: 7-(40,10,3800), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(40,10,14076) (# 17361)
supplementary design of 6-(39,10,12420) (# 17363) with respect to smaller t
residual design of 6-(40,10,32300) (# 17364)
design 6-(39,10,28500) (# 17366) with respect to smaller t
Tran van Trung construction (right) for 5-(38,9,28500) (# 17376) : der= 5-(38,9,28500) and res= 5-(38,10,165300) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,10,165300) (# 17378) : der= 5-(38,9,28500) and res= 5-(38,10,165300) - the given design is the residual.

# 17373: 5-(38,8,1656)

clan: 7-(40,10,1656), 2 times derived
derived from 6-(39,9,1656) (# 17362)
derived from supplementary of 6-(39,9,3800) (# 17365)

# 17374: 5-(38,9,12420)

clan: 7-(40,10,1656), 1 times derived, 1 times residual
residual design of 6-(39,9,1656) (# 17362)
derived from 6-(39,10,12420) (# 17363)
residual design of supplementary of 6-(39,9,3800) (# 17365)
derived from supplementary of 6-(39,10,28500) (# 17366)

# 17375: 5-(38,8,3800)

clan: 7-(40,10,3800), 2 times derived
derived from supplementary of 6-(39,9,1656) (# 17362)
derived from 6-(39,9,3800) (# 17365)

# 17376: 5-(38,9,28500)

clan: 7-(40,10,3800), 1 times derived, 1 times residual
residual design of supplementary of 6-(39,9,1656) (# 17362)
derived from supplementary of 6-(39,10,12420) (# 17363)
residual design of 6-(39,9,3800) (# 17365)
derived from 6-(39,10,28500) (# 17366)

# 17377: 5-(38,10,72036)

clan: 7-(40,10,1656), 2 times residual
residual design of 6-(39,10,12420) (# 17363)
residual design of supplementary of 6-(39,10,28500) (# 17366)

# 17378: 5-(38,10,165300)

clan: 7-(40,10,3800), 2 times residual
residual design of supplementary of 6-(39,10,12420) (# 17363)
residual design of 6-(39,10,28500) (# 17366)

# 17379: 7-(40,10,2304)

clan: 7-(40,10,2304)
$PSL(4,3)$ (many isomorphism types)

# 17380: 6-(40,10,19584)

clan: 7-(40,10,2304), 1 times reduced t
design 7-(40,10,2304) (# 17379) with respect to smaller t
Tran van Trung construction (right) for 6-(39,9,2304) (# 17381) : der= 6-(39,9,2304) and res= 6-(39,10,17280) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,10,17280) (# 17382) : der= 6-(39,9,2304) and res= 6-(39,10,17280) - the given design is the residual.

# 17381: 6-(39,9,2304)

clan: 7-(40,10,2304), 1 times derived
derived from 7-(40,10,2304) (# 17379)

# 17382: 6-(39,10,17280)

clan: 7-(40,10,2304), 1 times residual
residual design of 7-(40,10,2304) (# 17379)

# 17383: 6-(40,10,26792)

clan: 7-(40,10,3152), 1 times reduced t
supplementary design of 7-(40,10,2304) (# 17379) with respect to smaller t
Tran van Trung construction (right) for 6-(39,9,3152) (# 17384) : der= 6-(39,9,3152) and res= 6-(39,10,23640) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,10,23640) (# 17385) : der= 6-(39,9,3152) and res= 6-(39,10,23640) - the given design is the residual.

# 17384: 6-(39,9,3152)

clan: 7-(40,10,3152), 1 times derived
derived from supplementary of 7-(40,10,2304) (# 17379)

# 17385: 6-(39,10,23640)

clan: 7-(40,10,3152), 1 times residual
residual design of supplementary of 7-(40,10,2304) (# 17379)

# 17386: 5-(40,10,137088)

clan: 7-(40,10,2304), 2 times reduced t
design 6-(40,10,19584) (# 17380) with respect to smaller t
supplementary design of 6-(40,10,26792) (# 17383) with respect to smaller t
Tran van Trung construction (right) for 5-(39,9,19584) (# 17387) : der= 5-(39,9,19584) and res= 5-(39,10,117504) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,10,117504) (# 17388) : der= 5-(39,9,19584) and res= 5-(39,10,117504) - the given design is the residual.

# 17387: 5-(39,9,19584)

clan: 7-(40,10,2304), 1 times reduced t, 1 times derived
derived from 6-(40,10,19584) (# 17380)
design 6-(39,9,2304) (# 17381) with respect to smaller t
derived from supplementary of 6-(40,10,26792) (# 17383)
supplementary design of 6-(39,9,3152) (# 17384) with respect to smaller t
Tran van Trung construction (right) for 5-(38,8,2304) (# 17392) : der= 5-(38,8,2304) and res= 5-(38,9,17280) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,9,17280) (# 17393) : der= 5-(38,8,2304) and res= 5-(38,9,17280) - the given design is the residual.

# 17388: 5-(39,10,117504)

clan: 7-(40,10,2304), 1 times reduced t, 1 times residual
residual design of 6-(40,10,19584) (# 17380)
design 6-(39,10,17280) (# 17382) with respect to smaller t
residual design of supplementary of 6-(40,10,26792) (# 17383)
supplementary design of 6-(39,10,23640) (# 17385) with respect to smaller t
Tran van Trung construction (right) for 5-(38,9,17280) (# 17393) : der= 5-(38,9,17280) and res= 5-(38,10,100224) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,10,100224) (# 17396) : der= 5-(38,9,17280) and res= 5-(38,10,100224) - the given design is the residual.

# 17389: 5-(40,10,187544)

clan: 7-(40,10,3152), 2 times reduced t
supplementary design of 6-(40,10,19584) (# 17380) with respect to smaller t
design 6-(40,10,26792) (# 17383) with respect to smaller t
Tran van Trung construction (right) for 5-(39,9,26792) (# 17390) : der= 5-(39,9,26792) and res= 5-(39,10,160752) - the given design is the derived.
Tran van Trung construction (left) for 5-(39,10,160752) (# 17391) : der= 5-(39,9,26792) and res= 5-(39,10,160752) - the given design is the residual.

# 17390: 5-(39,9,26792)

clan: 7-(40,10,3152), 1 times reduced t, 1 times derived
derived from supplementary of 6-(40,10,19584) (# 17380)
supplementary design of 6-(39,9,2304) (# 17381) with respect to smaller t
derived from 6-(40,10,26792) (# 17383)
design 6-(39,9,3152) (# 17384) with respect to smaller t
Tran van Trung construction (right) for 5-(38,8,3152) (# 17394) : der= 5-(38,8,3152) and res= 5-(38,9,23640) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,9,23640) (# 17395) : der= 5-(38,8,3152) and res= 5-(38,9,23640) - the given design is the residual.

# 17391: 5-(39,10,160752)

clan: 7-(40,10,3152), 1 times reduced t, 1 times residual
residual design of supplementary of 6-(40,10,19584) (# 17380)
supplementary design of 6-(39,10,17280) (# 17382) with respect to smaller t
residual design of 6-(40,10,26792) (# 17383)
design 6-(39,10,23640) (# 17385) with respect to smaller t
Tran van Trung construction (right) for 5-(38,9,23640) (# 17395) : der= 5-(38,9,23640) and res= 5-(38,10,137112) - the given design is the derived.
Tran van Trung construction (left) for 5-(38,10,137112) (# 17397) : der= 5-(38,9,23640) and res= 5-(38,10,137112) - the given design is the residual.

# 17392: 5-(38,8,2304)

clan: 7-(40,10,2304), 2 times derived
derived from 6-(39,9,2304) (# 17381)
derived from supplementary of 6-(39,9,3152) (# 17384)

# 17393: 5-(38,9,17280)

clan: 7-(40,10,2304), 1 times derived, 1 times residual
residual design of 6-(39,9,2304) (# 17381)
derived from 6-(39,10,17280) (# 17382)
residual design of supplementary of 6-(39,9,3152) (# 17384)
derived from supplementary of 6-(39,10,23640) (# 17385)

# 17394: 5-(38,8,3152)

clan: 7-(40,10,3152), 2 times derived
derived from supplementary of 6-(39,9,2304) (# 17381)
derived from 6-(39,9,3152) (# 17384)

# 17395: 5-(38,9,23640)

clan: 7-(40,10,3152), 1 times derived, 1 times residual
residual design of supplementary of 6-(39,9,2304) (# 17381)
derived from supplementary of 6-(39,10,17280) (# 17382)
residual design of 6-(39,9,3152) (# 17384)
derived from 6-(39,10,23640) (# 17385)

# 17396: 5-(38,10,100224)

clan: 7-(40,10,2304), 2 times residual
residual design of 6-(39,10,17280) (# 17382)
residual design of supplementary of 6-(39,10,23640) (# 17385)

# 17397: 5-(38,10,137112)

clan: 7-(40,10,3152), 2 times residual
residual design of supplementary of 6-(39,10,17280) (# 17382)
residual design of 6-(39,10,23640) (# 17385)

# 17398: 7-(40,10,2504)

clan: 7-(40,10,2504)
$PSL(4,3)$ (many isomorphism types)

# 17399: 6-(40,10,21284)

clan: 7-(40,10,2504), 1 times reduced t
design 7-(40,10,2504) (# 17398) with respect to smaller t
Tran van Trung construction (right) for 6-(39,9,2504) (# 17400) : der= 6-(39,9,2504) and res= 6-(39,10,18780) - the given design is the derived.
Tran van Trung construction (left) for 6-(39,10,18780) (# 17401) : der= 6-(39,9,2504) and res= 6-(39,10,18780) - the given design is the residual.

created: Fri Oct 23 11:14:31 CEST 2009