t designs with small t, id ge 8700

• clan: 11-(24,12,7), 6 times reduced t
• Tran van Trung construction with complementary design for 5-(23,11,9996) (# 8699)
• supplementary design of 6-(24,12,8568) (# 8715) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,17136) (# 8718) : der= 5-(23,11,9996) and res= 5-(23,12,17136) - the given design is the residual.
• design 6-(24,12,9996) (# 8720) with respect to smaller t

# 8701: 6-(22,11,1008)

• clan: 11-(24,12,3), 3 times reduced t, 1 times derived, 1 times residual
• $PGL(2,19)++$
• design 7-(22,11,315) (# 13127) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(21,10,315) (# 13128)
• Tran van Trung construction (right) for 6-(21,10,315) (# 13128) : der= 6-(21,10,315) and res= 6-(21,11,693) - the given design is the derived.
• Tran van Trung construction (left) for 6-(21,11,693) (# 13129) : der= 6-(21,10,315) and res= 6-(21,11,693) - the given design is the residual.
• supplementary design of 7-(22,11,1050) (# 13136) with respect to smaller t

# 8702: 5-(22,11,9520)

• clan: 11-(24,12,10), 4 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(22,11,1008) (# 8701) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(21,10,3360) (# 8703)
• Tran van Trung construction (right) for 5-(21,10,3360) (# 8703) : der= 5-(21,10,3360) and res= 5-(21,11,6160) - the given design is the derived.
• Tran van Trung construction (left) for 5-(21,11,6160) (# 8704) : der= 5-(21,10,3360) and res= 5-(21,11,6160) - the given design is the residual.
• design 6-(22,11,3360) (# 13130) with respect to smaller t

# 8703: 5-(21,10,3360)

• clan: 11-(24,12,10), 3 times reduced t, 2 times derived, 1 times residual
• derived from supplementary of 6-(22,11,1008) (# 8701)
• supplementary design of 6-(21,10,315) (# 13128) with respect to smaller t
• derived from 6-(22,11,3360) (# 13130)
• design 6-(21,10,1050) (# 13131) with respect to smaller t
• Tran van Trung construction (right) for 5-(20,9,1050) (# 13133) : der= 5-(20,9,1050) and res= 5-(20,10,2310) - the given design is the derived.

# 8704: 5-(21,11,6160)

• clan: 11-(24,12,10), 3 times reduced t, 1 times derived, 2 times residual
• residual design of supplementary of 6-(22,11,1008) (# 8701)
• complementary design of 5-(21,10,3360) (# 8703)
• supplementary design of 6-(21,11,693) (# 13129) with respect to smaller t
• residual design of 6-(22,11,3360) (# 13130)
• design 6-(21,11,2310) (# 13132) with respect to smaller t
• Tran van Trung construction (left) for 5-(20,11,3850) (# 13135) : der= 5-(20,10,2310) and res= 5-(20,11,3850) - the given design is the residual.

# 8705: 6-(22,11,1512)

• clan: 8-(24,12,630), 1 times derived, 1 times residual
• $PGL(2,19)++$

# 8706: 5-(22,11,8092)

• clan: 8-(24,12,1190), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(22,11,1512) (# 8705) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(21,10,2856) (# 8707)
• Tran van Trung construction (right) for 5-(21,10,2856) (# 8707) : der= 5-(21,10,2856) and res= 5-(21,11,5236) - the given design is the derived.
• Tran van Trung construction (left) for 5-(21,11,5236) (# 8708) : der= 5-(21,10,2856) and res= 5-(21,11,5236) - the given design is the residual.
• residual design of supplementary of 6-(23,11,2142) (# 9343)
• derived from supplementary of 6-(23,12,4284) (# 9351)
• residual design of 6-(23,11,4046) (# 9353)
• derived from 6-(23,12,8092) (# 9354)

# 8707: 5-(21,10,2856)

• clan: 8-(24,12,1190), 2 times derived, 1 times residual
• derived from supplementary of 6-(22,11,1512) (# 8705)

# 8708: 5-(21,11,5236)

• clan: 8-(24,12,1190), 1 times derived, 2 times residual
• residual design of supplementary of 6-(22,11,1512) (# 8705)
• complementary design of 5-(21,10,2856) (# 8707)

# 8709: 6-(22,11,1848)

• clan: 8-(24,12,770), 1 times derived, 1 times residual
• $PGL(2,19)++$

# 8710: 5-(22,11,7140)

• clan: 8-(24,12,1050), 1 times reduced t, 1 times derived, 1 times residual
• supplementary design of 6-(22,11,1848) (# 8709) with respect to smaller t
• Tran van Trung construction with complementary design for 5-(21,10,2520) (# 8711)
• Tran van Trung construction (right) for 5-(21,10,2520) (# 8711) : der= 5-(21,10,2520) and res= 5-(21,11,4620) - the given design is the derived.
• Tran van Trung construction (left) for 5-(21,11,4620) (# 8712) : der= 5-(21,10,2520) and res= 5-(21,11,4620) - the given design is the residual.

# 8711: 5-(21,10,2520)

• clan: 8-(24,12,1050), 2 times derived, 1 times residual
• derived from supplementary of 6-(22,11,1848) (# 8709)

# 8712: 5-(21,11,4620)

• clan: 8-(24,12,1050), 1 times derived, 2 times residual
• residual design of supplementary of 6-(22,11,1848) (# 8709)
• complementary design of 5-(21,10,2520) (# 8711)

# 8713: 6-(22,11,2016)

• clan: 11-(24,12,6), 3 times reduced t, 1 times derived, 1 times residual
• $PGL(2,19)++$
• design 7-(22,11,630) (# 13137) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(21,10,630) (# 13138)
• Tran van Trung construction (right) for 6-(21,10,630) (# 13138) : der= 6-(21,10,630) and res= 6-(21,11,1386) - the given design is the derived.
• Tran van Trung construction (left) for 6-(21,11,1386) (# 13139) : der= 6-(21,10,630) and res= 6-(21,11,1386) - the given design is the residual.
• supplementary design of 7-(22,11,735) (# 13146) with respect to smaller t

# 8714: 6-(23,11,2856)

• clan: 11-(24,12,6), 4 times reduced t, 1 times derived
• Tran van Trung construction (left) for 6-(22,11,2016) (# 8713) : der= 6-(22,10,840) and res= 6-(22,11,2016) - the given design is the residual.
• derived from 7-(24,12,2856) (# 8716)
• derived from supplementary of 7-(24,12,3332) (# 8725)

# 8715: 6-(24,12,8568)

• clan: 11-(24,12,6), 5 times reduced t
• Tran van Trung construction with complementary design for 6-(23,11,2856) (# 8714)
• design 7-(24,12,2856) (# 8716) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,5712) (# 8719) : der= 6-(23,11,2856) and res= 6-(23,12,5712) - the given design is the residual.
• supplementary design of 7-(24,12,3332) (# 8725) with respect to smaller t

# 8716: 7-(24,12,2856)

• clan: 11-(24,12,6), 4 times reduced t
• Alltop construction for design 6-(23,11,2856) (# 8714)

# 8717: 5-(23,12,14688)

• clan: 11-(24,12,6), 5 times reduced t, 1 times residual
• residual design of 6-(24,12,8568) (# 8715)
• design 6-(23,12,5712) (# 8719) with respect to smaller t
• residual design of supplementary of 6-(24,12,9996) (# 8720)
• supplementary design of 6-(23,12,6664) (# 8722) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,8976) (# 8723) : der= 5-(22,11,5712) and res= 5-(22,12,8976) - the given design is the residual.

# 8718: 5-(23,12,17136)

• clan: 11-(24,12,7), 5 times reduced t, 1 times residual
• residual design of supplementary of 6-(24,12,8568) (# 8715)
• supplementary design of 6-(23,12,5712) (# 8719) with respect to smaller t
• residual design of 6-(24,12,9996) (# 8720)
• design 6-(23,12,6664) (# 8722) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,10472) (# 8724) : der= 5-(22,11,6664) and res= 5-(22,12,10472) - the given design is the residual.

# 8719: 6-(23,12,5712)

• clan: 11-(24,12,6), 4 times reduced t, 1 times residual
• residual design of 7-(24,12,2856) (# 8716)
• residual design of supplementary of 7-(24,12,3332) (# 8725)

# 8720: 6-(24,12,9996)

• clan: 11-(24,12,7), 5 times reduced t
• supplementary design of 7-(24,12,2856) (# 8716) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,3332) (# 8721)
• Tran van Trung construction (right) for 6-(23,11,3332) (# 8721) : der= 6-(23,11,3332) and res= 6-(23,12,6664) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,6664) (# 8722) : der= 6-(23,11,3332) and res= 6-(23,12,6664) - the given design is the residual.
• design 7-(24,12,3332) (# 8725) with respect to smaller t

# 8721: 6-(23,11,3332)

• clan: 11-(24,12,7), 4 times reduced t, 1 times derived
• derived from supplementary of 7-(24,12,2856) (# 8716)
• derived from 7-(24,12,3332) (# 8725)

# 8722: 6-(23,12,6664)

• clan: 11-(24,12,7), 4 times reduced t, 1 times residual
• residual design of supplementary of 7-(24,12,2856) (# 8716)
• residual design of 7-(24,12,3332) (# 8725)

# 8723: 5-(22,12,8976)

• clan: 11-(24,12,6), 4 times reduced t, 2 times residual
• residual design of 6-(23,12,5712) (# 8719)
• residual design of supplementary of 6-(23,12,6664) (# 8722)

# 8724: 5-(22,12,10472)

• clan: 11-(24,12,7), 4 times reduced t, 2 times residual
• residual design of supplementary of 6-(23,12,5712) (# 8719)
• residual design of 6-(23,12,6664) (# 8722)

# 8725: 7-(24,12,3332)

• clan: 11-(24,12,7), 4 times reduced t
• Alltop construction for design 6-(23,11,3332) (# 8721)

# 8726: 6-(22,11,840)

• clan: 8-(24,12,350), 1 times derived, 1 times residual
• $PGL(2,19)++$

# 8727: 6-(23,11,1190)

• clan: 8-(24,12,350), 1 times reduced t, 1 times derived
• Tran van Trung construction (left) for 6-(22,11,840) (# 8726) : der= 6-(22,10,350) and res= 6-(22,11,840) - the given design is the residual.
• derived from 7-(24,12,1190) (# 8729)
• derived from supplementary of 7-(24,12,4998) (# 8738)
• $ {\bf PSL(2,19)}{\bf C}_{2}x^+$ % -group 7 PSL 2 19 Cyclic 2 Direct_sum Add_fixpoint PSL_2_19C2x+

# 8728: 6-(24,12,3570)

• clan: 8-(24,12,350), 2 times reduced t
• Tran van Trung construction with complementary design for 6-(23,11,1190) (# 8727)
• design 7-(24,12,1190) (# 8729) with respect to smaller t
• Tran van Trung construction (left) for 6-(23,12,2380) (# 8732) : der= 6-(23,11,1190) and res= 6-(23,12,2380) - the given design is the residual.
• supplementary design of 7-(24,12,4998) (# 8738) with respect to smaller t

# 8729: 7-(24,12,1190)

• clan: 8-(24,12,350), 1 times reduced t
• Alltop construction for design 6-(23,11,1190) (# 8727)

# 8730: 5-(23,12,6120)

• clan: 8-(24,12,350), 2 times reduced t, 1 times residual
• residual design of 6-(24,12,3570) (# 8728)
• design 6-(23,12,2380) (# 8732) with respect to smaller t
• residual design of supplementary of 6-(24,12,14994) (# 8733)
• supplementary design of 6-(23,12,9996) (# 8735) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,3740) (# 8736) : der= 5-(22,11,2380) and res= 5-(22,12,3740) - the given design is the residual.

# 8731: 5-(23,12,25704)

• clan: 8-(24,12,1470), 2 times reduced t, 1 times residual
• residual design of supplementary of 6-(24,12,3570) (# 8728)
• supplementary design of 6-(23,12,2380) (# 8732) with respect to smaller t
• residual design of 6-(24,12,14994) (# 8733)
• design 6-(23,12,9996) (# 8735) with respect to smaller t
• Tran van Trung construction (left) for 5-(22,12,15708) (# 8737) : der= 5-(22,11,9996) and res= 5-(22,12,15708) - the given design is the residual.

# 8732: 6-(23,12,2380)

• clan: 8-(24,12,350), 1 times reduced t, 1 times residual
• residual design of 7-(24,12,1190) (# 8729)
• residual design of supplementary of 7-(24,12,4998) (# 8738)

# 8733: 6-(24,12,14994)

• clan: 8-(24,12,1470), 2 times reduced t
• supplementary design of 7-(24,12,1190) (# 8729) with respect to smaller t
• Tran van Trung construction with complementary design for 6-(23,11,4998) (# 8734)
• Tran van Trung construction (right) for 6-(23,11,4998) (# 8734) : der= 6-(23,11,4998) and res= 6-(23,12,9996) - the given design is the derived.
• Tran van Trung construction (left) for 6-(23,12,9996) (# 8735) : der= 6-(23,11,4998) and res= 6-(23,12,9996) - the given design is the residual.
• design 7-(24,12,4998) (# 8738) with respect to smaller t

# 8734: 6-(23,11,4998)

• clan: 8-(24,12,1470), 1 times reduced t, 1 times derived
• derived from supplementary of 7-(24,12,1190) (# 8729)
• derived from 7-(24,12,4998) (# 8738)

# 8735: 6-(23,12,9996)

• clan: 8-(24,12,1470), 1 times reduced t, 1 times residual
• residual design of supplementary of 7-(24,12,1190) (# 8729)
• residual design of 7-(24,12,4998) (# 8738)

# 8736: 5-(22,12,3740)

• clan: 8-(24,12,350), 1 times reduced t, 2 times residual
• residual design of 6-(23,12,2380) (# 8732)
• residual design of supplementary of 6-(23,12,9996) (# 8735)

# 8737: 5-(22,12,15708)

• clan: 8-(24,12,1470), 1 times reduced t, 2 times residual
• residual design of supplementary of 6-(23,12,2380) (# 8732)
• residual design of 6-(23,12,9996) (# 8735)

# 8738: 7-(24,12,4998)

• clan: 8-(24,12,1470), 1 times reduced t
• Alltop construction for design 6-(23,11,4998) (# 8734)

# 8739: 6-(22,7,8)

• clan: 14-(30,15,8), 8 times derived
• (6-(8m+6,7,4m) for m=2 \cite{Teirlinck89}), Halving of the complete design

# 8740: 5-(21,6,8)

• clan: 14-(30,15,8), 9 times derived
• derived from 6-(22,7,8) (# 8739)
• derived from supplementary of 6-(22,7,8) (# 8739)

# 8741: 5-(21,7,60)

• clan: 14-(30,15,8), 8 times derived, 1 times residual
• residual design of 6-(22,7,8) (# 8739)
• residual design of supplementary of 6-(22,7,8) (# 8739)
• derived from 6-(22,8,60) (# 8742)
• derived from supplementary of 6-(22,8,60) (# 8742)

# 8742: 6-(22,8,60)

• clan: 14-(30,15,8), 7 times derived, 1 times residual
• $PSL(2,19)++$ (1148 isom types) \cite{Kreher93}, Halving of the complete design

# 8743: 5-(21,8,280)

• clan: 14-(30,15,8), 7 times derived, 2 times residual
• residual design of 6-(22,8,60) (# 8742)
• residual design of supplementary of 6-(22,8,60) (# 8742)
• derived from 6-(22,9,280) (# 8766)
• derived from supplementary of 6-(22,9,280) (# 8766)

# 8744: 6-(23,8,68)

• clan: 14-(30,15,8), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 6-(22,8,60) (# 8742) : der= 6-(22,7,8) and res= 6-(22,8,60) - the given design is the residual.
• \cite{Kreher93} Halving of the complete design

# 8745: 5-(22,9,1190)

• clan: 14-(30,15,8), 1 times reduced t, 6 times derived, 2 times residual
• Tran van Trung construction (right) for 5-(21,8,280) (# 8743) : der= 5-(21,8,280) and res= 5-(21,9,910) - the given design is the derived.
• design 6-(22,9,280) (# 8766) with respect to smaller t
• supplementary design of 6-(22,9,280) (# 8766) with respect to smaller t
• residual design of 6-(23,9,340) (# 8767)
• residual design of supplementary of 6-(23,9,340) (# 8767)
• derived from 6-(23,10,1190) (# 13209)
• derived from supplementary of 6-(23,10,1190) (# 13209)

# 8746: 5-(23,9,1530)

• clan: 14-(30,15,8), 2 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(22,9,1190) (# 8745) : der= 5-(22,8,340) and res= 5-(22,9,1190) - the given design is the residual.
• design 6-(23,9,340) (# 8767) with respect to smaller t
• supplementary design of 6-(23,9,340) (# 8767) with respect to smaller t
• residual design of 6-(24,9,408) (# 8768)
• residual design of supplementary of 6-(24,9,408) (# 8768)
• derived from 6-(24,10,1530) (# 9785)
• derived from supplementary of 6-(24,10,1530) (# 9785)

# 8747: 5-(23,10,4284)

• clan: 14-(30,15,8), 2 times reduced t, 5 times derived, 2 times residual
• Tran van Trung construction (right) for 5-(22,9,1190) (# 8745) : der= 5-(22,9,1190) and res= 5-(22,10,3094) - the given design is the derived.
• residual design of 6-(24,10,1530) (# 9785)
• residual design of supplementary of 6-(24,10,1530) (# 9785)
• design 6-(23,10,1190) (# 13209) with respect to smaller t
• supplementary design of 6-(23,10,1190) (# 13209) with respect to smaller t

# 8748: 5-(24,11,13566)

• clan: 14-(30,15,8), 3 times reduced t, 4 times derived, 2 times residual
• Tran van Trung construction (right) for 5-(23,10,4284) (# 8747) : der= 5-(23,10,4284) and res= 5-(23,11,9282) - the given design is the derived.

# 8749: 5-(25,11,19380)

• clan: 14-(30,15,8), 4 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(24,11,13566) (# 8748) : der= 5-(24,10,5814) and res= 5-(24,11,13566) - the given design is the residual.

# 8750: 5-(25,12,38760)

• clan: 14-(30,15,8), 4 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (right) for 5-(24,11,13566) (# 8748) : der= 5-(24,11,13566) and res= 5-(24,12,25194) - the given design is the derived.
• derived from 6-(26,13,38760) (# 8754)
• derived from supplementary of 6-(26,13,38760) (# 8754)

# 8751: 5-(26,11,27132)

• clan: 14-(30,15,8), 5 times reduced t, 4 times derived
• Tran van Trung construction (left) for 5-(25,11,19380) (# 8749) : der= 5-(25,10,7752) and res= 5-(25,11,19380) - the given design is the residual.

# 8752: 5-(26,12,58140)

• clan: 14-(30,15,8), 5 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(25,11,19380) (# 8749) : der= 5-(25,11,19380) and res= 5-(25,12,38760) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,12,38760) (# 8750) : der= 5-(25,11,19380) and res= 5-(25,12,38760) - the given design is the residual.

# 8753: 5-(26,13,101745)

• clan: 14-(30,15,8), 5 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 5-(25,12,38760) (# 8750)
• design 6-(26,13,38760) (# 8754) with respect to smaller t
• supplementary design of 6-(26,13,38760) (# 8754) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,13,62985) (# 8757) : der= 5-(25,12,38760) and res= 5-(25,13,62985) - the given design is the residual.

# 8754: 6-(26,13,38760)

• clan: 14-(30,15,8), 4 times reduced t, 2 times derived, 2 times residual
• Alltop construction for design 5-(25,12,38760) (# 8750)

# 8755: 5-(27,12,85272)

• clan: 14-(30,15,8), 6 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(26,11,27132) (# 8751) : der= 5-(26,11,27132) and res= 5-(26,12,58140) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,12,58140) (# 8752) : der= 5-(26,11,27132) and res= 5-(26,12,58140) - the given design is the residual.
• derived from 6-(28,13,85272) (# 11924)
• derived from supplementary of 6-(28,13,85272) (# 11924)

# 8756: 5-(27,13,159885)

• clan: 14-(30,15,8), 6 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(26,12,58140) (# 8752) : der= 5-(26,12,58140) and res= 5-(26,13,101745) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,13,101745) (# 8753) : der= 5-(26,12,58140) and res= 5-(26,13,101745) - the given design is the residual.
• derived from 6-(28,14,159885) (# 8760)
• derived from supplementary of 6-(28,14,159885) (# 8760)
• residual design of 6-(28,13,85272) (# 11924)
• residual design of supplementary of 6-(28,13,85272) (# 11924)

# 8757: 5-(25,13,62985)

• clan: 14-(30,15,8), 4 times reduced t, 2 times derived, 3 times residual
• residual design of 6-(26,13,38760) (# 8754)
• residual design of supplementary of 6-(26,13,38760) (# 8754)

# 8758: 5-(28,13,245157)

• clan: 14-(30,15,8), 7 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(27,12,85272) (# 8755) : der= 5-(27,12,85272) and res= 5-(27,13,159885) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,13,159885) (# 8756) : der= 5-(27,12,85272) and res= 5-(27,13,159885) - the given design is the residual.
• design 6-(28,13,85272) (# 11924) with respect to smaller t
• supplementary design of 6-(28,13,85272) (# 11924) with respect to smaller t
• derived from 6-(29,14,245157) (# 11925)
• derived from supplementary of 6-(29,14,245157) (# 11925)

# 8759: 5-(28,14,408595)

• clan: 14-(30,15,8), 7 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(27,13,159885) (# 8756)
• design 6-(28,14,159885) (# 8760) with respect to smaller t
• supplementary design of 6-(28,14,159885) (# 8760) with respect to smaller t
• Tran van Trung construction (left) for 5-(27,14,248710) (# 8762) : der= 5-(27,13,159885) and res= 5-(27,14,248710) - the given design is the residual.
• residual design of 6-(29,14,245157) (# 11925)
• residual design of supplementary of 6-(29,14,245157) (# 11925)
• derived from 6-(29,15,408595) (# 11927)
• derived from supplementary of 6-(29,15,408595) (# 11927)

# 8760: 6-(28,14,159885)

• clan: 14-(30,15,8), 6 times reduced t, 1 times derived, 1 times residual
• Alltop construction for design 5-(27,13,159885) (# 8756)
• Ajoodani-Namini Large Set recursion from 6-(14,7,4)

# 8761: 5-(29,14,653752)

• clan: 14-(30,15,8), 8 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(28,13,245157) (# 8758) : der= 5-(28,13,245157) and res= 5-(28,14,408595) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,14,408595) (# 8759) : der= 5-(28,13,245157) and res= 5-(28,14,408595) - the given design is the residual.
• derived from 6-(30,15,653752) (# 8764)
• derived from supplementary of 6-(30,15,653752) (# 8764)
• design 6-(29,14,245157) (# 11925) with respect to smaller t
• supplementary design of 6-(29,14,245157) (# 11925) with respect to smaller t

# 8762: 5-(27,14,248710)

• clan: 14-(30,15,8), 6 times reduced t, 1 times derived, 2 times residual
• residual design of 6-(28,14,159885) (# 8760)
• residual design of supplementary of 6-(28,14,159885) (# 8760)

# 8763: 5-(30,15,1634380)

• clan: 14-(30,15,8), 9 times reduced t
• Tran van Trung construction with complementary design for 5-(29,14,653752) (# 8761)
• design 6-(30,15,653752) (# 8764) with respect to smaller t
• supplementary design of 6-(30,15,653752) (# 8764) with respect to smaller t
• Tran van Trung construction (left) for 5-(29,15,980628) (# 8765) : der= 5-(29,14,653752) and res= 5-(29,15,980628) - the given design is the residual.

# 8764: 6-(30,15,653752)

• clan: 14-(30,15,8), 8 times reduced t
• Alltop construction for design 5-(29,14,653752) (# 8761)
• Tran van Trung construction with complementary design for 6-(29,14,245157) (# 11925)
• design 7-(30,15,245157) (# 11926) with respect to smaller t
• supplementary design of 7-(30,15,245157) (# 11926) with respect to smaller t
• Tran van Trung construction (left) for 6-(29,15,408595) (# 11927) : der= 6-(29,14,245157) and res= 6-(29,15,408595) - the given design is the residual.
• Ajoodani-Namini recursion, Halving of the complete design

# 8765: 5-(29,15,980628)

• clan: 14-(30,15,8), 8 times reduced t, 1 times residual
• residual design of 6-(30,15,653752) (# 8764)
• residual design of supplementary of 6-(30,15,653752) (# 8764)
• design 6-(29,15,408595) (# 11927) with respect to smaller t
• supplementary design of 6-(29,15,408595) (# 11927) with respect to smaller t
• Tran van Trung construction (left) for 5-(28,15,572033) (# 11928) : der= 5-(28,14,408595) and res= 5-(28,15,572033) - the given design is the residual.

# 8766: 6-(22,9,280)

• clan: 14-(30,15,8), 6 times derived, 2 times residual
• $(PSL(3,2)\times S_3)+$ Halving of the complete design
• $(PSL(2,11)$ $\ge 217$ solutions, Halving of the complete design

# 8767: 6-(23,9,340)

• clan: 14-(30,15,8), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (left) for 6-(22,9,280) (# 8766) : der= 6-(22,8,60) and res= 6-(22,9,280) - the given design is the residual.
• derived 7-(24,10,340) Halving of the complete design
• derived from 7-(24,10,340) (# 13208)
• derived from supplementary of 7-(24,10,340) (# 13208)

# 8768: 6-(24,9,408)

• clan: 14-(30,15,8), 2 times reduced t, 6 times derived
• Tran van Trung construction (left) for 6-(23,9,340) (# 8767) : der= 6-(23,8,68) and res= 6-(23,9,340) - the given design is the residual.

# 8769: 6-(23,10,1050)

• clan: 13-(30,15,60), 5 times derived, 2 times residual
• $ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+

# 8770: 5-(23,10,4788)

• clan: 13-(30,15,76), 1 times reduced t, 5 times derived, 2 times residual
• supplementary design of 6-(23,10,1050) (# 8769) with respect to smaller t
• Tran van Trung construction (right) for 5-(22,9,1330) (# 8771) : der= 5-(22,9,1330) and res= 5-(22,10,3458) - the given design is the derived.
• Tran van Trung construction (left) for 5-(22,10,3458) (# 8772) : der= 5-(22,9,1330) and res= 5-(22,10,3458) - the given design is the residual.
• derived from supplementary of 6-(24,11,3780) (# 9572)

# 8771: 5-(22,9,1330)

• clan: 13-(30,15,76), 6 times derived, 2 times residual
• derived from supplementary of 6-(23,10,1050) (# 8769)

# 8772: 5-(22,10,3458)

• clan: 13-(30,15,76), 5 times derived, 3 times residual
• residual design of supplementary of 6-(23,10,1050) (# 8769)
• derived from supplementary of 6-(23,11,2730) (# 9567)
• derived from 6-(23,11,3458) (# 9579)

# 8773: 6-(23,10,1120)

• clan: 15-(32,16,8), 6 times derived, 3 times residual
• $ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+
• residual design of 7-(24,10,320) (# 13166)

# 8774: 5-(22,9,1260)

• clan: 15-(32,16,9), 7 times derived, 3 times residual
• derived from supplementary of 6-(23,10,1120) (# 8773)
• residual design of supplementary of 6-(23,9,320) (# 13168)
• residual design of 6-(23,9,360) (# 13170)
• derived from 6-(23,10,1260) (# 13171)

# 8775: 6-(23,10,420)

• clan: 15-(32,16,3), 6 times derived, 3 times residual
• $ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+

# 8776: 5-(23,10,7056)

• clan: 15-(32,16,14), 1 times reduced t, 6 times derived, 3 times residual
• supplementary design of 6-(23,10,420) (# 8775) with respect to smaller t
• Tran van Trung construction (right) for 5-(22,9,1960) (# 8777) : der= 5-(22,9,1960) and res= 5-(22,10,5096) - the given design is the derived.
• Tran van Trung construction (left) for 5-(22,10,5096) (# 8778) : der= 5-(22,9,1960) and res= 5-(22,10,5096) - the given design is the residual.
• derived from supplementary of 6-(24,11,1512) (# 8858)

# 8777: 5-(22,9,1960)

• clan: 15-(32,16,14), 7 times derived, 3 times residual
• derived from supplementary of 6-(23,10,420) (# 8775)

# 8778: 5-(22,10,5096)

• clan: 15-(32,16,14), 6 times derived, 4 times residual
• residual design of supplementary of 6-(23,10,420) (# 8775)
• derived from supplementary of 6-(23,11,1092) (# 8853)
• derived from 6-(23,11,5096) (# 8865)

# 8779: 6-(23,10,630)

• clan: 13-(30,15,36), 5 times derived, 2 times residual
• $ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+

# 8780: 5-(22,10,1638)

• clan: 13-(30,15,36), 5 times derived, 3 times residual
• residual design of 6-(23,10,630) (# 8779)
• derived from 6-(23,11,1638) (# 9090)
• derived from supplementary of 6-(23,11,4550) (# 9102)

# 8781: 5-(23,10,6300)

• clan: 13-(30,15,100), 1 times reduced t, 5 times derived, 2 times residual
• supplementary design of 6-(23,10,630) (# 8779) with respect to smaller t
• Tran van Trung construction (right) for 5-(22,9,1750) (# 8782) : der= 5-(22,9,1750) and res= 5-(22,10,4550) - the given design is the derived.
• Tran van Trung construction (left) for 5-(22,10,4550) (# 8783) : der= 5-(22,9,1750) and res= 5-(22,10,4550) - the given design is the residual.
• derived from supplementary of 6-(24,11,2268) (# 9095)

# 8782: 5-(22,9,1750)

• clan: 13-(30,15,100), 6 times derived, 2 times residual
• derived from supplementary of 6-(23,10,630) (# 8779)

# 8783: 5-(22,10,4550)

• clan: 13-(30,15,100), 5 times derived, 3 times residual
• residual design of supplementary of 6-(23,10,630) (# 8779)
• derived from supplementary of 6-(23,11,1638) (# 9090)
• derived from 6-(23,11,4550) (# 9102)

# 8784: 5-(23,11,4914)

• clan: 13-(30,15,36), 1 times reduced t, 4 times derived, 3 times residual
• Tran van Trung construction (right) for 5-(22,10,1638) (# 8780) : der= 5-(22,10,1638) and res= 5-(22,11,3276) - the given design is the derived.
• design 6-(23,11,1638) (# 9090) with respect to smaller t
• derived from 6-(24,12,4914) (# 9091)
• residual design of 6-(24,11,2268) (# 9095)
• derived from supplementary of 6-(24,12,13650) (# 9101)
• supplementary design of 6-(23,11,4550) (# 9102) with respect to smaller t

# 8785: 5-(24,11,7182)

• clan: 13-(30,15,36), 2 times reduced t, 4 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(23,11,4914) (# 8784) : der= 5-(23,10,2268) and res= 5-(23,11,4914) - the given design is the residual.
• design 6-(24,11,2268) (# 9095) with respect to smaller t
• derived from 6-(25,12,7182) (# 9099)
• derived from supplementary of 6-(25,12,19950) (# 9116)

# 8786: 5-(25,11,10260)

• clan: 13-(30,15,36), 3 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(24,11,7182) (# 8785) : der= 5-(24,10,3078) and res= 5-(24,11,7182) - the given design is the residual.

# 8787: 5-(25,12,20520)

• clan: 13-(30,15,36), 3 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (right) for 5-(24,11,7182) (# 8785) : der= 5-(24,11,7182) and res= 5-(24,12,13338) - the given design is the derived.
• design 6-(25,12,7182) (# 9099) with respect to smaller t
• derived from 6-(26,13,20520) (# 9106)
• derived from supplementary of 6-(26,13,57000) (# 9115)
• supplementary design of 6-(25,12,19950) (# 9116) with respect to smaller t

# 8788: 5-(26,11,14364)

• clan: 13-(30,15,36), 4 times reduced t, 4 times derived
• Tran van Trung construction (left) for 5-(25,11,10260) (# 8786) : der= 5-(25,10,4104) and res= 5-(25,11,10260) - the given design is the residual.

# 8789: 5-(26,12,30780)

• clan: 13-(30,15,36), 4 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(25,11,10260) (# 8786) : der= 5-(25,11,10260) and res= 5-(25,12,20520) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,12,20520) (# 8787) : der= 5-(25,11,10260) and res= 5-(25,12,20520) - the given design is the residual.

# 8790: 5-(26,13,53865)

• clan: 13-(30,15,36), 4 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 5-(25,12,20520) (# 8787)
• design 6-(26,13,20520) (# 9106) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,13,33345) (# 9112) : der= 5-(25,12,20520) and res= 5-(25,13,33345) - the given design is the residual.
• supplementary design of 6-(26,13,57000) (# 9115) with respect to smaller t

# 8791: 5-(27,12,45144)

• clan: 13-(30,15,36), 5 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(26,11,14364) (# 8788) : der= 5-(26,11,14364) and res= 5-(26,12,30780) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,12,30780) (# 8789) : der= 5-(26,11,14364) and res= 5-(26,12,30780) - the given design is the residual.

# 8792: 5-(27,13,84645)

• clan: 13-(30,15,36), 5 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(26,12,30780) (# 8789) : der= 5-(26,12,30780) and res= 5-(26,13,53865) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,13,53865) (# 8790) : der= 5-(26,12,30780) and res= 5-(26,13,53865) - the given design is the residual.

# 8793: 5-(28,13,129789)

• clan: 13-(30,15,36), 6 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(27,12,45144) (# 8791) : der= 5-(27,12,45144) and res= 5-(27,13,84645) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,13,84645) (# 8792) : der= 5-(27,12,45144) and res= 5-(27,13,84645) - the given design is the residual.

# 8794: 5-(28,14,216315)

• clan: 13-(30,15,36), 6 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(27,13,84645) (# 8792)

# 8795: 5-(29,14,346104)

• clan: 13-(30,15,36), 7 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(28,13,129789) (# 8793) : der= 5-(28,13,129789) and res= 5-(28,14,216315) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,14,216315) (# 8794) : der= 5-(28,13,129789) and res= 5-(28,14,216315) - the given design is the residual.

# 8796: 5-(30,15,865260)

• clan: 13-(30,15,36), 8 times reduced t
• Tran van Trung construction with complementary design for 5-(29,14,346104) (# 8795)

# 8797: 6-(23,10,700)

• clan: 15-(32,16,5), 6 times derived, 3 times residual
• $ {\bf PGL(2,19)}{\bf C}_{2}x^+$ % -group 7 PGL 2 19 Cyclic 2 Direct_sum Add_fixpoint PGL_2_19C2x+

# 8798: 5-(22,10,1820)

• clan: 15-(32,16,5), 6 times derived, 4 times residual
• residual design of 6-(23,10,700) (# 8797)
• derived from 6-(23,11,1820) (# 9175)
• derived from supplementary of 6-(23,11,4368) (# 9187)

# 8799: 5-(23,10,6048)

• clan: 15-(32,16,12), 1 times reduced t, 6 times derived, 3 times residual
• supplementary design of 6-(23,10,700) (# 8797) with respect to smaller t
• Tran van Trung construction (right) for 5-(22,9,1680) (# 8800) : der= 5-(22,9,1680) and res= 5-(22,10,4368) - the given design is the derived.
• Tran van Trung construction (left) for 5-(22,10,4368) (# 8801) : der= 5-(22,9,1680) and res= 5-(22,10,4368) - the given design is the residual.
• derived from supplementary of 6-(24,11,2520) (# 9180)
• residual design of supplementary of 6-(24,10,900) (# 13440)

created: Fri Oct 23 11:12:05 CEST 2009