t designs with small t, id ge 7700
# 7700: 5-(28,14,213785)
- clan: 11-(30,15,1014), 4 times reduced t, 1 times derived, 1 times residual
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\cite{Sebille98} $AGL(3,3)+$
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Tran van Trung construction with complementary design for 5-(27,13,83655) (# 11093)
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design 6-(28,14,83655) (# 11096) with respect to smaller t
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Tran van Trung construction (left) for 5-(27,14,130130) (# 11101) : der= 5-(27,13,83655) and res= 5-(27,14,130130) - the given design is the residual.
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supplementary design of 6-(28,14,236115) (# 11105) with respect to smaller t
# 7701: 5-(28,14,77220)
# 7702: 5-(28,14,169400)
# 7703: 5-(28,14,232375)
# 7704: 5-(28,14,95095)
# 7705: 5-(28,14,35035)
# 7706: 5-(28,14,312455)
- clan: 13-(30,15,52), 6 times reduced t, 1 times derived, 1 times residual
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\cite{Sebille98} $AGL(3,3)+$
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Tran van Trung construction with complementary design for 5-(27,13,122265) (# 11285)
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design 6-(28,14,122265) (# 11288) with respect to smaller t
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Tran van Trung construction (left) for 5-(27,14,190190) (# 11293) : der= 5-(27,13,122265) and res= 5-(27,14,190190) - the given design is the residual.
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supplementary design of 6-(28,14,197505) (# 11297) with respect to smaller t
# 7707: 5-(28,14,361790)
- clan: 13-(32,16,429), 4 times reduced t, 2 times derived, 2 times residual
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\cite{Sebille98} $AGL(3,3)+$
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Tran van Trung construction with complementary design for 5-(27,13,141570) (# 10202)
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design 6-(28,14,141570) (# 11382) with respect to smaller t
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Tran van Trung construction (left) for 5-(27,14,220220) (# 11386) : der= 5-(27,13,141570) and res= 5-(27,14,220220) - the given design is the residual.
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supplementary design of 6-(28,14,178200) (# 11390) with respect to smaller t
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residual design of 6-(29,14,217074) (# 13637)
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residual design of supplementary of 6-(29,14,273240) (# 13638)
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derived from 6-(29,15,361790) (# 13647)
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derived from supplementary of 6-(29,15,455400) (# 13648)
# 7708: 5-(28,6,10)
# 7709: 5-(28,6,11)
# 7710: 5-(28,6,12)
# 7711: 5-(28,6,2)
# 7712: 5-(28,6,3)
# 7713: 5-(28,6,4)
# 7714: 5-(28,6,5)
# 7715: 5-(28,6,6)
- clan: 21-(44,22,6), 16 times derived
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$PSL(2,27)$ 370650 isomorphism types \cite{KreherRadziszowski87a}\cite{Schmalz}
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$PSU(3,9)$ 5290 isomorphism types
# 7716: 5-(28,6,7)
# 7717: 5-(28,6,8)
- clan: 21-(44,22,8), 16 times derived
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$PSL(2,27)$ 5710925 isomorphism types \cite{KreherRadziszowski87a}\cite{Schmalz}
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$PSU(3,9)$ 539278 isomorphism types
# 7718: 5-(28,6,9)
- clan: 21-(44,22,9), 16 times derived
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$PSL(2,27)$ 11496089 isomorphism types \cite{KreherRadziszowski87a}\cite{Schmalz}
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$PSU(3,9)$ many isomorphism types
# 7719: 5-(28,7,1)
# 7720: 5-(28,7,30)
# 7721: 5-(28,7,33)
# 7722: 5-(29,7,36)
- clan: 21-(44,22,3), 1 times reduced t, 15 times derived
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Tran van Trung construction (left) for 5-(28,7,33) (# 7721) : der= 5-(28,6,3) and res= 5-(28,7,33) - the given design is the residual.
# 7723: 5-(28,7,40)
# 7724: 5-(28,7,43)
# 7725: 5-(28,7,60)
# 7726: 5-(28,7,63)
# 7727: 5-(28,7,70)
# 7728: 5-(28,7,73)
# 7729: 5-(28,7,90)
# 7730: 5-(28,7,93)
# 7731: 5-(28,7,100)
# 7732: 5-(28,7,103)
# 7733: 5-(28,7,120)
# 7734: 5-(28,7,123)
# 7735: 5-(28,7,105)
# 7736: 5-(28,7,106)
# 7737: 5-(28,7,112)
# 7738: 5-(28,7,113)
# 7739: 5-(28,7,119)
# 7740: 5-(28,7,126)
# 7741: 5-(28,7,14)
# 7742: 5-(28,7,15)
# 7743: 5-(28,7,21)
# 7744: 5-(28,7,22)
# 7745: 5-(29,7,24)
- clan: 21-(44,22,2), 1 times reduced t, 15 times derived
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Tran van Trung construction (left) for 5-(28,7,22) (# 7744) : der= 5-(28,6,2) and res= 5-(28,7,22) - the given design is the residual.
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$PGL(2,27)+$ (>=1 isom. types)
# 7746: 5-(28,7,28)
# 7747: 5-(28,7,29)
# 7748: 5-(28,7,35)
# 7749: 5-(28,7,36)
# 7750: 5-(28,7,42)
# 7751: 5-(28,7,49)
# 7752: 5-(28,7,50)
# 7753: 5-(28,7,56)
# 7754: 5-(28,7,57)
# 7755: 5-(28,7,64)
# 7756: 5-(28,7,7)
# 7757: 5-(28,7,71)
# 7758: 5-(28,7,77)
# 7759: 5-(29,7,84)
- clan: 21-(44,22,7), 1 times reduced t, 15 times derived
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Tran van Trung construction (left) for 5-(28,7,77) (# 7758) : der= 5-(28,6,7) and res= 5-(28,7,77) - the given design is the residual.
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$PGL(2,27)+$ (>=1 isom. types)
# 7760: 5-(28,7,78)
# 7761: 5-(28,7,8)
# 7762: 5-(28,7,84)
# 7763: 5-(28,7,85)
# 7764: 5-(28,7,88)
# 7765: 5-(29,7,96)
- clan: 21-(44,22,8), 1 times reduced t, 15 times derived
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Tran van Trung construction (left) for 5-(28,7,88) (# 7764) : der= 5-(28,6,8) and res= 5-(28,7,88) - the given design is the residual.
# 7766: 5-(28,7,91)
# 7767: 5-(28,7,92)
# 7768: 5-(28,7,98)
# 7769: 5-(28,7,99)
# 7770: 5-(29,7,108)
- clan: 21-(44,22,9), 1 times reduced t, 15 times derived
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Tran van Trung construction (left) for 5-(28,7,99) (# 7769) : der= 5-(28,6,9) and res= 5-(28,7,99) - the given design is the residual.
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$PGL(2,27)+$ (>=1 isom. types)
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derived from 6-(30,8,108) (# 12282)
# 7771: 5-(28,8,1001)
# 7772: 5-(28,8,105)
# 7773: 5-(29,8,120)
- clan: 8-(31,10,15), 1 times reduced t, 2 times derived
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Tran van Trung construction (left) for 5-(28,8,105) (# 7772) : der= 5-(28,7,15) and res= 5-(28,8,105) - the given design is the residual.
# 7774: 5-(28,8,112)
# 7775: 5-(28,8,119)
# 7776: 5-(28,8,126)
# 7777: 5-(28,8,133)
# 7778: 5-(28,8,140)
# 7779: 5-(28,8,147)
# 7780: 5-(29,8,168)
- clan: 8-(31,10,21), 1 times reduced t, 2 times derived
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Tran van Trung construction (left) for 5-(28,8,147) (# 7779) : der= 5-(28,7,21) and res= 5-(28,8,147) - the given design is the residual.
# 7781: 5-(28,8,154)
# 7782: 5-(29,8,176)
- clan: 21-(44,22,2), 1 times reduced t, 14 times derived, 1 times residual
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Tran van Trung construction (left) for 5-(28,8,154) (# 7781) : der= 5-(28,7,22) and res= 5-(28,8,154) - the given design is the residual.
# 7783: 5-(30,8,200)
- clan: 21-(44,22,2), 2 times reduced t, 14 times derived
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Tran van Trung construction (left) for 5-(29,8,176) (# 7782) : der= 5-(29,7,24) and res= 5-(29,8,176) - the given design is the residual.
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derived from 6-(31,9,200) (# 12296)
# 7784: 5-(28,8,161)
# 7785: 5-(28,8,168)
# 7786: 5-(28,8,175)
# 7787: 5-(28,8,182)
# 7788: 5-(28,8,189)
# 7789: 5-(28,8,196)
# 7790: 5-(29,8,224)
- clan: 8-(31,10,28), 1 times reduced t, 2 times derived
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Tran van Trung construction (left) for 5-(28,8,196) (# 7789) : der= 5-(28,7,28) and res= 5-(28,8,196) - the given design is the residual.
# 7791: 5-(28,8,203)
# 7792: 5-(29,8,232)
- clan: 8-(31,10,29), 1 times reduced t, 2 times derived
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Tran van Trung construction (left) for 5-(28,8,203) (# 7791) : der= 5-(28,7,29) and res= 5-(28,8,203) - the given design is the residual.
# 7793: 5-(28,8,21)
# 7794: 5-(28,8,210)
# 7795: 5-(29,8,240)
- clan: 8-(31,10,30), 1 times reduced t, 2 times derived
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Tran van Trung construction (left) for 5-(28,8,210) (# 7794) : der= 5-(28,7,30) and res= 5-(28,8,210) - the given design is the residual.
# 7796: 5-(28,8,217)
# 7797: 5-(28,8,224)
# 7798: 5-(28,8,231)
# 7799: 5-(29,8,264)
- clan: 21-(44,22,3), 1 times reduced t, 14 times derived, 1 times residual
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Tran van Trung construction (left) for 5-(28,8,231) (# 7798) : der= 5-(28,7,33) and res= 5-(28,8,231) - the given design is the residual.
created: Fri Oct 23 11:11:32 CEST 2009