t designs with small t, id ge 8700
# 8700: 5-(24,12,27132)
- 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
- 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
- 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
- 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.
- 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.
- clan: 8-(24,12,630), 1 times derived, 1 times residual
- $PGL(2,19)++$
- 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)
- clan: 8-(24,12,1190), 2 times derived, 1 times residual
- derived from supplementary of 6-(22,11,1512) (# 8705)
- 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)
- clan: 8-(24,12,770), 1 times derived, 1 times residual
- $PGL(2,19)++$
- 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.
- clan: 8-(24,12,1050), 2 times derived, 1 times residual
- derived from supplementary of 6-(22,11,1848) (# 8709)
- 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)
- 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
- 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)
- 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
- clan: 11-(24,12,6), 4 times reduced t
- Alltop construction for design 6-(23,11,2856) (# 8714)
- 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.
- 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.
- 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)
- 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
- 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)
- 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)
- 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)
- 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)
- clan: 11-(24,12,7), 4 times reduced t
- Alltop construction for design 6-(23,11,3332) (# 8721)
- clan: 8-(24,12,350), 1 times derived, 1 times residual
- $PGL(2,19)++$
- 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+
- 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
- clan: 8-(24,12,350), 1 times reduced t
- Alltop construction for design 6-(23,11,1190) (# 8727)
- 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.
- 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.
- 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)
- 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
- 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)
- 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)
- 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)
- 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)
- clan: 8-(24,12,1470), 1 times reduced t
- Alltop construction for design 6-(23,11,4998) (# 8734)
- clan: 14-(30,15,8), 8 times derived
- (6-(8m+6,7,4m) for m=2 \cite{Teirlinck89}), Halving of the complete design
- clan: 14-(30,15,8), 9 times derived
- derived from 6-(22,7,8) (# 8739)
- derived from supplementary of 6-(22,7,8) (# 8739)
- 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)
- clan: 14-(30,15,8), 7 times derived, 1 times residual
- $PSL(2,19)++$ (1148 isom types) \cite{Kreher93}, Halving of the complete design
- 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)
- 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
- 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)
- 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)
- 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
- 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.
- 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.
- 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)
- 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.
- 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.
- 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.
- clan: 14-(30,15,8), 4 times reduced t, 2 times derived, 2 times residual
- Alltop construction for design 5-(25,12,38760) (# 8750)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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
- 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)
- 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.
- 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
- 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.
- 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
- 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)
- 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.
- 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+
- 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)
- clan: 13-(30,15,76), 6 times derived, 2 times residual
- derived from supplementary of 6-(23,10,1050) (# 8769)
- 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)
- 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)
- 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)
- 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+
- 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)
- clan: 15-(32,16,14), 7 times derived, 3 times residual
- derived from supplementary of 6-(23,10,420) (# 8775)
- 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)
- 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+
- 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)
- 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)
- clan: 13-(30,15,100), 6 times derived, 2 times residual
- derived from supplementary of 6-(23,10,630) (# 8779)
- 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)
- 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
- 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)
- 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.
- 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
- 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.
- 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.
- 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
- 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.
- 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.
- 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.
- 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)
- 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.
- clan: 13-(30,15,36), 8 times reduced t
- Tran van Trung construction with complementary design for 5-(29,14,346104) (# 8795)
- 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+
- 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)
- 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