t designs with small t, id ge 8300
# 8300: 5-(32,8,545)
# 8301: 5-(32,8,550)
# 8302: 5-(33,8,616)
# 8303: 5-(32,8,555)
# 8304: 5-(32,8,560)
- clan: 5-(32,8,560)
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$AGL(4,2)\times C_2$ 343 solutions
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$PSL(2,31)$
# 8305: 5-(32,8,565)
# 8306: 5-(32,8,570)
# 8307: 5-(32,8,575)
# 8308: 5-(32,8,580)
# 8309: 5-(32,8,585)
- clan: 23-(48,24,5), 2 times reduced t, 16 times derived
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$PSL(2,31)$
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derived from 6-(33,9,585) (# 12607)
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design 6-(32,8,65) (# 16296) with respect to smaller t
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derived from supplementary of 6-(33,9,2340) (# 16298)
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supplementary design of 6-(32,8,260) (# 16299) with respect to smaller t
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Tran van Trung construction (right) for 5-(31,7,65) (# 16301) : der= 5-(31,7,65) and res= 5-(31,8,520) - the given design is the derived.
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Tran van Trung construction (left) for 5-(31,8,520) (# 16302) : der= 5-(31,7,65) and res= 5-(31,8,520) - the given design is the residual.
# 8310: 5-(32,8,590)
# 8311: 5-(32,8,595)
# 8312: 5-(32,8,600)
# 8313: 5-(32,8,605)
# 8314: 5-(32,8,610)
# 8315: 5-(32,8,615)
# 8316: 5-(32,8,620)
# 8317: 5-(32,8,625)
# 8318: 5-(33,8,700)
- clan: 6-(33,8,75), 1 times reduced t
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Tran van Trung construction (left) for 5-(32,8,625) (# 8317) : der= 5-(32,7,75) and res= 5-(32,8,625) - the given design is the residual.
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\cite{Sebille98} $P\Gamma L(2,32)$
# 8319: 5-(32,8,630)
# 8320: 5-(32,8,635)
# 8321: 5-(32,8,640)
- clan: 5-(32,8,640)
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$AGL(4,2)\times C_2$ many solutions
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$PSL(2,31)$
# 8322: 5-(32,8,645)
# 8323: 5-(32,8,650)
# 8324: 5-(33,8,728)
- clan: 7-(34,8,6), 1 times reduced t, 1 times residual
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Tran van Trung construction (left) for 5-(32,8,650) (# 8323) : der= 5-(32,7,78) and res= 5-(32,8,650) - the given design is the residual.
# 8325: 5-(34,8,812)
# 8326: 5-(32,8,655)
# 8327: 5-(32,8,660)
# 8328: 5-(32,8,665)
# 8329: 5-(32,8,670)
# 8330: 5-(32,8,675)
- clan: 11-(37,12,6), 1 times reduced t, 4 times derived, 1 times residual
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TvT: 5-(31,7,75) $\cup$ 5-(31,8,600)
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Tran van Trung construction (left) for 5-(31,8,600) (# 16121) : der= 5-(31,7,75) and res= 5-(31,8,600) - the given design is the residual.
# 8331: 5-(33,8,756)
- clan: 11-(37,12,6), 2 times reduced t, 4 times derived
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Tran van Trung construction (left) for 5-(32,8,675) (# 8330) : der= 5-(32,7,81) and res= 5-(32,8,675) - the given design is the residual.
# 8332: 5-(32,8,680)
# 8333: 5-(32,8,685)
# 8334: 5-(32,8,690)
# 8335: 5-(32,8,695)
# 8336: 5-(32,8,700)
# 8337: 5-(33,8,784)
# 8338: 5-(32,8,705)
# 8339: 5-(32,8,710)
# 8340: 5-(32,8,715)
# 8341: 5-(32,8,720)
- clan: 10-(36,12,80), 1 times reduced t, 4 times derived
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$PSL(2,31)$
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derived from 6-(33,9,720) (# 12636)
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design 6-(32,8,80) (# 16308) with respect to smaller t
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derived from supplementary of 6-(33,9,2205) (# 16310)
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supplementary design of 6-(32,8,245) (# 16311) with respect to smaller t
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Tran van Trung construction (right) for 5-(31,7,80) (# 16313) : der= 5-(31,7,80) and res= 5-(31,8,640) - the given design is the derived.
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Tran van Trung construction (left) for 5-(31,8,640) (# 16314) : der= 5-(31,7,80) and res= 5-(31,8,640) - the given design is the residual.
# 8342: 5-(32,8,725)
# 8343: 5-(32,8,730)
# 8344: 5-(32,8,735)
# 8345: 5-(32,8,740)
# 8346: 5-(32,8,745)
# 8347: 5-(32,8,750)
# 8348: 5-(33,8,840)
- clan: 10-(37,12,90), 1 times reduced t, 4 times derived
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Tran van Trung construction (left) for 5-(32,8,750) (# 8347) : der= 5-(32,7,90) and res= 5-(32,8,750) - the given design is the residual.
# 8349: 5-(32,8,755)
# 8350: 5-(32,8,760)
# 8351: 5-(32,8,765)
- clan: 10-(36,12,85), 1 times reduced t, 4 times derived
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$PSL(2,31)$
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derived from 6-(33,9,765) (# 12642)
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design 6-(32,8,85) (# 16320) with respect to smaller t
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derived from supplementary of 6-(33,9,2160) (# 16322)
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supplementary design of 6-(32,8,240) (# 16323) with respect to smaller t
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Tran van Trung construction (right) for 5-(31,7,85) (# 16325) : der= 5-(31,7,85) and res= 5-(31,8,680) - the given design is the derived.
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Tran van Trung construction (left) for 5-(31,8,680) (# 16326) : der= 5-(31,7,85) and res= 5-(31,8,680) - the given design is the residual.
# 8352: 5-(32,8,770)
# 8353: 5-(32,8,775)
# 8354: 5-(32,8,780)
# 8355: 5-(32,8,785)
# 8356: 5-(32,8,790)
# 8357: 5-(32,8,795)
# 8358: 5-(32,8,800)
# 8359: 5-(33,8,896)
- clan: 6-(33,8,96), 1 times reduced t
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Tran van Trung construction (left) for 5-(32,8,800) (# 8358) : der= 5-(32,7,96) and res= 5-(32,8,800) - the given design is the residual.
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\cite{Sebille98} $P\Gamma L(2,32)$
# 8360: 5-(32,8,805)
# 8361: 5-(32,8,810)
# 8362: 5-(32,8,815)
# 8363: 5-(32,8,820)
# 8364: 5-(32,8,825)
# 8365: 5-(33,8,924)
- clan: 10-(37,12,99), 1 times reduced t, 4 times derived
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Tran van Trung construction (left) for 5-(32,8,825) (# 8364) : der= 5-(32,7,99) and res= 5-(32,8,825) - the given design is the residual.
# 8366: 5-(32,8,830)
# 8367: 5-(32,8,835)
# 8368: 5-(32,8,840)
# 8369: 5-(32,8,845)
# 8370: 5-(32,8,850)
# 8371: 5-(32,8,855)
# 8372: 5-(32,8,860)
# 8373: 5-(32,8,865)
# 8374: 5-(32,8,870)
# 8375: 5-(32,8,875)
# 8376: 5-(33,8,980)
# 8377: 5-(32,8,880)
# 8378: 5-(32,8,885)
# 8379: 5-(32,8,890)
# 8380: 5-(32,8,895)
# 8381: 5-(32,8,900)
- clan: 11-(37,12,8), 1 times reduced t, 4 times derived, 1 times residual
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$PSL(2,31)$
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derived from 6-(33,9,900) (# 12673)
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design 6-(32,8,100) (# 16208) with respect to smaller t
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derived from supplementary of 6-(33,9,2025) (# 16210)
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supplementary design of 6-(32,8,225) (# 16211) with respect to smaller t
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Tran van Trung construction (right) for 5-(31,7,100) (# 16213) : der= 5-(31,7,100) and res= 5-(31,8,800) - the given design is the derived.
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Tran van Trung construction (left) for 5-(31,8,800) (# 16214) : der= 5-(31,7,100) and res= 5-(31,8,800) - the given design is the residual.
# 8382: 5-(32,8,905)
# 8383: 5-(32,8,910)
# 8384: 5-(32,8,915)
# 8385: 5-(32,8,920)
# 8386: 5-(32,8,925)
# 8387: 5-(33,8,1036)
# 8388: 5-(32,8,930)
# 8389: 5-(32,8,935)
# 8390: 5-(32,8,940)
# 8391: 5-(32,8,945)
- clan: 10-(36,12,105), 1 times reduced t, 4 times derived
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$PSL(2,31)$
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derived from 6-(33,9,945) (# 12679)
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design 6-(32,8,105) (# 16220) with respect to smaller t
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derived from supplementary of 6-(33,9,1980) (# 16221)
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supplementary design of 6-(32,8,220) (# 16222) with respect to smaller t
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Tran van Trung construction (right) for 5-(31,7,105) (# 16224) : der= 5-(31,7,105) and res= 5-(31,8,840) - the given design is the derived.
# 8392: 5-(32,8,950)
# 8393: 5-(32,8,955)
# 8394: 5-(32,8,960)
# 8395: 5-(32,8,965)
# 8396: 5-(32,8,970)
# 8397: 5-(32,8,975)
# 8398: 5-(32,8,980)
# 8399: 5-(32,8,985)
created: Fri Oct 23 11:11:39 CEST 2009