t designs with small t, id ge 8500
# 8500: 5-(32,8,1430)
# 8501: 5-(32,8,1435)
# 8502: 5-(32,8,1440)
- clan: 10-(36,12,160), 1 times reduced t, 4 times derived
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$PSL(2,31)$
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derived from 6-(33,9,1440) (# 12518)
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design 6-(32,8,160) (# 16272) with respect to smaller t
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derived from supplementary of 6-(33,9,1485) (# 16274)
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supplementary design of 6-(32,8,165) (# 16275) with respect to smaller t
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Tran van Trung construction (right) for 5-(31,7,160) (# 16277) : der= 5-(31,7,160) and res= 5-(31,8,1280) - the given design is the derived.
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Tran van Trung construction (left) for 5-(31,8,1280) (# 16278) : der= 5-(31,7,160) and res= 5-(31,8,1280) - the given design is the residual.
# 8503: 5-(32,8,1445)
# 8504: 5-(32,8,1450)
# 8505: 5-(32,8,1455)
# 8506: 5-(32,8,1460)
# 8507: 5-(33,6,4)
# 8508: 5-(33,6,8)
# 8509: 5-(33,6,12)
# 8510: 5-(33,7,42)
# 8511: 5-(34,6,5)
- clan: 27-(56,28,5), 22 times derived
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\cite{Sebille98} $P\Gamma L(2,16)\times C_2$ 15 solutions, $PGL(2,16)\times C_2$ more than 250000000 solutions
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$P\Gamma L(2,32)+$ 6 solutions
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$P\Gamma L(2,16)\times C_2$ 23 solutions
# 8512: 5-(34,6,4)
# 8513: 5-(34,6,9)
# 8514: 5-(34,6,12)
# 8515: 5-(34,7,196)
# 8516: 5-(34,7,210)
# 8517: 5-(34,7,70)
# 8518: 5-(35,7,75)
- clan: 27-(56,28,5), 1 times reduced t, 21 times derived
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Tran van Trung construction (left) for 5-(34,7,70) (# 8517) : der= 5-(34,6,5) and res= 5-(34,7,70) - the given design is the residual.
# 8519: 5-(36,6,1)
# 8520: 5-(36,6,10)
# 8521: 5-(36,6,11)
# 8522: 5-(36,6,12)
# 8523: 5-(36,6,14)
# 8524: 5-(36,6,15)
# 8525: 5-(36,6,16)
# 8526: 5-(36,6,2)
# 8527: 5-(36,6,3)
# 8528: 5-(36,6,4)
# 8529: 5-(36,6,5)
# 8530: 5-(36,6,6)
# 8531: 5-(36,6,7)
# 8532: 5-(36,6,8)
# 8533: 5-(36,6,9)
# 8534: 5-(36,7,165)
# 8535: 5-(37,7,176)
- clan: 29-(60,30,11), 1 times reduced t, 23 times derived
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Tran van Trung construction (left) for 5-(36,7,165) (# 8534) : der= 5-(36,6,11) and res= 5-(36,7,165) - the given design is the residual.
# 8536: 5-(38,6,12)
# 8537: 5-(38,6,9)
# 8538: 5-(38,7,198)
# 8539: 5-(38,7,264)
- clan: 30-(62,31,16), 1 times reduced t, 24 times derived
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$PGL(2,37)$ halving
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design 6-(38,7,16) (# 12900) with respect to smaller t
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supplementary design of 6-(38,7,16) (# 12900) with respect to smaller t
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Tran van Trung construction (right) for 5-(37,6,16) (# 12901) : der= 5-(37,6,16) and res= 5-(37,7,248) - the given design is the derived.
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Tran van Trung construction (left) for 5-(37,7,248) (# 12902) : der= 5-(37,6,16) and res= 5-(37,7,248) - the given design is the residual.
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derived from 6-(39,8,264) (# 12906)
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derived from supplementary of 6-(39,8,264) (# 12906)
# 8540: 5-(39,6,16)
# 8541: 5-(42,6,13)
# 8542: 5-(42,7,306)
# 8543: 5-(46,8,1060)
# 8544: 5-(46,8,1120)
# 8545: 5-(46,8,1220)
# 8546: 5-(46,8,1280)
# 8547: 5-(46,8,1380)
# 8548: 5-(46,8,1440)
# 8549: 5-(46,8,3840)
# 8550: 5-(46,8,4160)
# 8551: 5-(46,8,4580)
# 8552: 5-(46,8,5380)
# 8553: 5-(46,8,800)
# 8554: 5-(46,8,900)
# 8555: 5-(46,8,960)
# 8556: 5-(48,6,1)
# 8557: 5-(48,6,13)
# 8558: 5-(48,6,17)
# 8559: 5-(48,6,18)
# 8560: 5-(48,6,2)
# 8561: 5-(48,6,20)
# 8562: 5-(48,6,21)
# 8563: 5-(48,6,3)
# 8564: 5-(48,6,4)
# 8565: 5-(48,6,5)
# 8566: 5-(48,6,6)
# 8567: 5-(48,6,7)
# 8568: 5-(48,6,8)
# 8569: 5-(48,7,273)
# 8570: 5-(49,7,286)
- clan: 41-(84,42,13), 1 times reduced t, 35 times derived
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Tran van Trung construction (left) for 5-(48,7,273) (# 8569) : der= 5-(48,6,13) and res= 5-(48,7,273) - the given design is the residual.
# 8571: 5-(49,7,294)
# 8572: 5-(49,7,316)
# 8573: 5-(52,6,2)
# 8574: 5-(54,6,24)
# 8575: 5-(63,7,648)
# 8576: 5-(64,6,11)
# 8577: 5-(64,6,3)
# 8578: 5-(64,7,120)
# 8579: 5-(64,7,192)
# 8580: 5-(64,7,240)
# 8581: 5-(64,7,316)
# 8582: 5-(64,7,336)
# 8583: 5-(64,7,343)
# 8584: 5-(64,7,364)
# 8585: 5-(64,7,388)
# 8586: 5-(64,7,408)
# 8587: 5-(64,7,456)
# 8588: 5-(64,7,511)
# 8589: 5-(64,7,528)
# 8590: 5-(64,7,576)
# 8591: 5-(64,7,651)
# 8592: 5-(64,7,675)
# 8593: 5-(64,7,696)
# 8594: 5-(64,7,72)
# 8595: 5-(64,7,703)
# 8596: 5-(64,7,723)
# 8597: 5-(64,7,744)
# 8598: 5-(64,7,840)
# 8599: 5-(64,8,700)
created: Fri Oct 23 11:12:00 CEST 2009