t designs with small t, id ge 500
# 500: 5-(18,8,54)
# 501: 5-(18,8,56)
# 502: 5-(18,8,58)
# 503: 5-(18,8,6)
# 504: 5-(18,8,60)
# 505: 5-(18,8,62)
- clan: 7-(20,10,62), 2 times derived
-
$C_2\times ASL(2,3)$ 18287 solutions
-
$C_2\times PGL(2,8)$ 1419 solutions
-
\cite{Kramer75} $PGL(2,17)$ 5 isomorphism types
# 506: 5-(18,8,64)
# 507: 5-(18,8,66)
# 508: 5-(19,8,84)
- clan: 11-(24,12,3), 1 times reduced t, 4 times derived, 1 times residual
-
Tran van Trung construction (left) for 5-(18,8,66) (# 507) : der= 5-(18,7,18) and res= 5-(18,8,66) - the given design is the residual.
# 509: 5-(18,8,68)
# 510: 5-(18,8,70)
# 511: 5-(18,8,72)
# 512: 5-(18,8,76)
# 513: 5-(18,8,80)
# 514: 5-(18,8,82)
# 515: 5-(18,8,84)
# 516: 5-(18,8,86)
# 517: 5-(18,8,88)
# 518: 5-(19,8,112)
- clan: 11-(24,12,4), 1 times reduced t, 4 times derived, 1 times residual
-
Tran van Trung construction (left) for 5-(18,8,88) (# 517) : der= 5-(18,7,24) and res= 5-(18,8,88) - the given design is the residual.
-
residual design of 6-(20,8,28) (# 8658)
-
derived from 6-(20,9,112) (# 8669)
# 519: 5-(20,8,140)
- clan: 11-(24,12,4), 2 times reduced t, 4 times derived
-
Tran van Trung construction (left) for 5-(19,8,112) (# 518) : der= 5-(19,7,28) and res= 5-(19,8,112) - the given design is the residual.
-
\cite{Krameretal85} $PGL(2,19)$ 365 isomorphism types
-
design 6-(20,8,28) (# 8658) with respect to smaller t
-
derived from 6-(21,9,140) (# 8670)
# 520: 5-(18,8,90)
# 521: 5-(18,8,92)
# 522: 5-(18,8,94)
# 523: 5-(18,8,96)
# 524: 5-(18,8,98)
# 525: 5-(18,9,100)
# 526: 5-(19,9,140)
- clan: 7-(20,10,40), 1 times reduced t, 1 times derived
-
Tran van Trung construction (left) for 5-(18,9,100) (# 525) : der= 5-(18,8,40) and res= 5-(18,9,100) - the given design is the residual.
-
Brouwer 1977/1986
# 527: 5-(20,10,420)
- clan: 7-(20,10,40), 2 times reduced t
-
Tran van Trung construction with complementary design for 5-(19,9,140) (# 526)
-
Tran van Trung construction (right) for 5-(19,9,140) (# 526) : der= 5-(19,9,140) and res= 5-(19,10,280) - the given design is the derived.
-
Tran van Trung construction (left) for 5-(19,10,280) (# 528) : der= 5-(19,9,140) and res= 5-(19,10,280) - the given design is the residual.
-
\cite{Krameretal85} $PGL(2,19)$ 104 isomorphism types
# 528: 5-(19,10,280)
# 529: 5-(18,9,105)
# 530: 5-(19,9,147)
- clan: 7-(20,10,42), 1 times reduced t, 1 times derived
-
Tran van Trung construction (left) for 5-(18,9,105) (# 529) : der= 5-(18,8,42) and res= 5-(18,9,105) - the given design is the residual.
# 531: 5-(20,10,441)
- clan: 7-(20,10,42), 2 times reduced t
-
Tran van Trung construction with complementary design for 5-(19,9,147) (# 530)
-
Tran van Trung construction (right) for 5-(19,9,147) (# 530) : der= 5-(19,9,147) and res= 5-(19,10,294) - the given design is the derived.
-
Tran van Trung construction (left) for 5-(19,10,294) (# 532) : der= 5-(19,9,147) and res= 5-(19,10,294) - the given design is the residual.
-
\cite{Krameretal85} $PGL(2,19)$ 72 isomorphism types
# 532: 5-(19,10,294)
# 533: 5-(18,9,110)
# 534: 5-(19,9,154)
- clan: 11-(24,12,2), 1 times reduced t, 3 times derived, 2 times residual
-
Tran van Trung construction (left) for 5-(18,9,110) (# 533) : der= 5-(18,8,44) and res= 5-(18,9,110) - the given design is the residual.
# 535: 5-(20,10,462)
- clan: 11-(24,12,2), 2 times reduced t, 2 times derived, 2 times residual
-
Tran van Trung construction with complementary design for 5-(19,9,154) (# 534)
-
Tran van Trung construction (right) for 5-(19,9,154) (# 534) : der= 5-(19,9,154) and res= 5-(19,10,308) - the given design is the derived.
-
Tran van Trung construction (left) for 5-(19,10,308) (# 536) : der= 5-(19,9,154) and res= 5-(19,10,308) - the given design is the residual.
-
\cite{Krameretal85} $PSL(2,19)$
-
\cite{TranvanTrung86}
# 536: 5-(19,10,308)
# 537: 5-(20,9,210)
- clan: 11-(24,12,2), 2 times reduced t, 3 times derived, 1 times residual
-
Tran van Trung construction (left) for 5-(19,9,154) (# 534) : der= 5-(19,8,56) and res= 5-(19,9,154) - the given design is the residual.
# 538: 5-(21,10,672)
- clan: 11-(24,12,2), 3 times reduced t, 2 times derived, 1 times residual
-
Tran van Trung construction (left) for 5-(20,10,462) (# 535) : der= 5-(20,9,210) and res= 5-(20,10,462) - the given design is the residual.
-
Tran van Trung construction (right) for 5-(20,9,210) (# 537) : der= 5-(20,9,210) and res= 5-(20,10,462) - the given design is the derived.
# 539: 5-(22,11,1904)
- clan: 11-(24,12,2), 4 times reduced t, 1 times derived, 1 times residual
-
Tran van Trung construction with complementary design for 5-(21,10,672) (# 538)
-
Tran van Trung construction (right) for 5-(21,10,672) (# 538) : der= 5-(21,10,672) and res= 5-(21,11,1232) - the given design is the derived.
-
Tran van Trung construction (left) for 5-(21,11,1232) (# 540) : der= 5-(21,10,672) and res= 5-(21,11,1232) - the given design is the residual.
-
\cite{Kreher95}
# 540: 5-(21,11,1232)
# 541: 5-(18,9,115)
# 542: 5-(19,9,161)
- clan: 7-(20,10,46), 1 times reduced t, 1 times derived
-
Tran van Trung construction (left) for 5-(18,9,115) (# 541) : der= 5-(18,8,46) and res= 5-(18,9,115) - the given design is the residual.
# 543: 5-(20,10,483)
- clan: 7-(20,10,46), 2 times reduced t
-
Tran van Trung construction with complementary design for 5-(19,9,161) (# 542)
-
Tran van Trung construction (right) for 5-(19,9,161) (# 542) : der= 5-(19,9,161) and res= 5-(19,10,322) - the given design is the derived.
-
Tran van Trung construction (left) for 5-(19,10,322) (# 544) : der= 5-(19,9,161) and res= 5-(19,10,322) - the given design is the residual.
-
\cite{Krameretal85} $PGL(2,19)$ 173 isomorphism types
# 544: 5-(19,10,322)
# 545: 5-(18,9,120)
# 546: 5-(19,9,168)
- clan: 7-(20,10,48), 1 times reduced t, 1 times derived
-
Tran van Trung construction (left) for 5-(18,9,120) (# 545) : der= 5-(18,8,48) and res= 5-(18,9,120) - the given design is the residual.
-
$ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+
# 547: 5-(20,10,504)
- clan: 7-(20,10,48), 2 times reduced t
-
Tran van Trung construction with complementary design for 5-(19,9,168) (# 546)
-
Tran van Trung construction (right) for 5-(19,9,168) (# 546) : der= 5-(19,9,168) and res= 5-(19,10,336) - the given design is the derived.
-
Tran van Trung construction (left) for 5-(19,10,336) (# 548) : der= 5-(19,9,168) and res= 5-(19,10,336) - the given design is the residual.
-
\cite{Krameretal85}
-
\cite{TranvanTrung86}
# 548: 5-(19,10,336)
# 549: 5-(18,9,125)
# 550: 5-(19,9,175)
- clan: 7-(20,10,50), 1 times reduced t, 1 times derived
-
Tran van Trung construction (left) for 5-(18,9,125) (# 549) : der= 5-(18,8,50) and res= 5-(18,9,125) - the given design is the residual.
# 551: 5-(20,10,525)
- clan: 7-(20,10,50), 2 times reduced t
-
Tran van Trung construction with complementary design for 5-(19,9,175) (# 550)
-
Tran van Trung construction (right) for 5-(19,9,175) (# 550) : der= 5-(19,9,175) and res= 5-(19,10,350) - the given design is the derived.
-
Tran van Trung construction (left) for 5-(19,10,350) (# 552) : der= 5-(19,9,175) and res= 5-(19,10,350) - the given design is the residual.
-
\cite{Krameretal85} $PSL(2,19)$
# 552: 5-(19,10,350)
# 553: 5-(18,9,130)
# 554: 5-(19,9,182)
- clan: 9-(20,10,2), 3 times reduced t, 1 times derived
-
Tran van Trung construction (left) for 5-(18,9,130) (# 553) : der= 5-(18,8,52) and res= 5-(18,9,130) - the given design is the residual.
# 555: 5-(20,10,546)
- clan: 9-(20,10,2), 4 times reduced t
-
Tran van Trung construction with complementary design for 5-(19,9,182) (# 554)
-
Tran van Trung construction (right) for 5-(19,9,182) (# 554) : der= 5-(19,9,182) and res= 5-(19,10,364) - the given design is the derived.
-
Tran van Trung construction (left) for 5-(19,10,364) (# 556) : der= 5-(19,9,182) and res= 5-(19,10,364) - the given design is the residual.
-
\cite{Krameretal85} $PGL(2,19)$ 307 isomorphism types
# 556: 5-(19,10,364)
# 557: 5-(18,9,135)
# 558: 5-(19,9,189)
- clan: 7-(20,10,54), 1 times reduced t, 1 times derived
-
Tran van Trung construction (left) for 5-(18,9,135) (# 557) : der= 5-(18,8,54) and res= 5-(18,9,135) - the given design is the residual.
# 559: 5-(20,10,567)
- clan: 7-(20,10,54), 2 times reduced t
-
Tran van Trung construction with complementary design for 5-(19,9,189) (# 558)
-
Tran van Trung construction (right) for 5-(19,9,189) (# 558) : der= 5-(19,9,189) and res= 5-(19,10,378) - the given design is the derived.
-
Tran van Trung construction (left) for 5-(19,10,378) (# 560) : der= 5-(19,9,189) and res= 5-(19,10,378) - the given design is the residual.
-
\cite{Krameretal85} $PGL(2,19)$ 567 isomorphism types
# 560: 5-(19,10,378)
# 561: 5-(18,9,140)
# 562: 5-(19,9,196)
- clan: 7-(20,10,56), 1 times reduced t, 1 times derived
-
Tran van Trung construction (left) for 5-(18,9,140) (# 561) : der= 5-(18,8,56) and res= 5-(18,9,140) - the given design is the residual.
-
$ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+
# 563: 5-(20,10,588)
- clan: 7-(20,10,56), 2 times reduced t
-
Tran van Trung construction with complementary design for 5-(19,9,196) (# 562)
-
Tran van Trung construction (right) for 5-(19,9,196) (# 562) : der= 5-(19,9,196) and res= 5-(19,10,392) - the given design is the derived.
-
Tran van Trung construction (left) for 5-(19,10,392) (# 564) : der= 5-(19,9,196) and res= 5-(19,10,392) - the given design is the residual.
-
\cite{Krameretal85} $PSL(2,19)$
# 564: 5-(19,10,392)
# 565: 5-(18,9,145)
# 566: 5-(19,9,203)
- clan: 7-(20,10,58), 1 times reduced t, 1 times derived
-
Tran van Trung construction (left) for 5-(18,9,145) (# 565) : der= 5-(18,8,58) and res= 5-(18,9,145) - the given design is the residual.
-
$ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+
# 567: 5-(20,10,609)
- clan: 7-(20,10,58), 2 times reduced t
-
Tran van Trung construction with complementary design for 5-(19,9,203) (# 566)
-
Tran van Trung construction (right) for 5-(19,9,203) (# 566) : der= 5-(19,9,203) and res= 5-(19,10,406) - the given design is the derived.
-
Tran van Trung construction (left) for 5-(19,10,406) (# 568) : der= 5-(19,9,203) and res= 5-(19,10,406) - the given design is the residual.
-
\cite{Krameretal85}
# 568: 5-(19,10,406)
# 569: 5-(18,9,15)
# 570: 5-(19,9,21)
- clan: 7-(20,10,6), 1 times reduced t, 1 times derived
-
Tran van Trung construction (left) for 5-(18,9,15) (# 569) : der= 5-(18,8,6) and res= 5-(18,9,15) - the given design is the residual.
-
Brouwer 1977/1986
# 571: 5-(20,10,63)
- clan: 7-(20,10,6), 2 times reduced t
-
Tran van Trung construction with complementary design for 5-(19,9,21) (# 570)
-
Tran van Trung construction (right) for 5-(19,9,21) (# 570) : der= 5-(19,9,21) and res= 5-(19,10,42) - the given design is the derived.
-
Tran van Trung construction (left) for 5-(19,10,42) (# 572) : der= 5-(19,9,21) and res= 5-(19,10,42) - the given design is the residual.
-
\cite{Krameretal85}
# 572: 5-(19,10,42)
# 573: 5-(18,9,150)
# 574: 5-(19,9,210)
- clan: 7-(20,10,60), 1 times reduced t, 1 times derived
-
Tran van Trung construction (left) for 5-(18,9,150) (# 573) : der= 5-(18,8,60) and res= 5-(18,9,150) - the given design is the residual.
-
$ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+
# 575: 5-(20,10,630)
- clan: 7-(20,10,60), 2 times reduced t
-
Tran van Trung construction with complementary design for 5-(19,9,210) (# 574)
-
Tran van Trung construction (right) for 5-(19,9,210) (# 574) : der= 5-(19,9,210) and res= 5-(19,10,420) - the given design is the derived.
-
Tran van Trung construction (left) for 5-(19,10,420) (# 576) : der= 5-(19,9,210) and res= 5-(19,10,420) - the given design is the residual.
-
\cite{Krameretal85} $PGL(2,19)$ 2106 isomorphism types
# 576: 5-(19,10,420)
# 577: 5-(18,9,155)
# 578: 5-(19,9,217)
- clan: 7-(20,10,62), 1 times reduced t, 1 times derived
-
Tran van Trung construction (left) for 5-(18,9,155) (# 577) : der= 5-(18,8,62) and res= 5-(18,9,155) - the given design is the residual.
-
$ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+
# 579: 5-(20,10,651)
- clan: 7-(20,10,62), 2 times reduced t
-
Tran van Trung construction with complementary design for 5-(19,9,217) (# 578)
-
Tran van Trung construction (right) for 5-(19,9,217) (# 578) : der= 5-(19,9,217) and res= 5-(19,10,434) - the given design is the derived.
-
Tran van Trung construction (left) for 5-(19,10,434) (# 580) : der= 5-(19,9,217) and res= 5-(19,10,434) - the given design is the residual.
-
\cite{Krameretal85} $PSL(2,19)$
-
\cite{TranvanTrung86}
# 580: 5-(19,10,434)
# 581: 5-(18,9,160)
# 582: 5-(19,9,224)
- clan: 7-(20,10,64), 1 times reduced t, 1 times derived
-
Tran van Trung construction (left) for 5-(18,9,160) (# 581) : der= 5-(18,8,64) and res= 5-(18,9,160) - the given design is the residual.
-
$ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+
# 583: 5-(20,10,672)
- clan: 7-(20,10,64), 2 times reduced t
-
Tran van Trung construction with complementary design for 5-(19,9,224) (# 582)
-
Tran van Trung construction (right) for 5-(19,9,224) (# 582) : der= 5-(19,9,224) and res= 5-(19,10,448) - the given design is the derived.
-
Tran van Trung construction (left) for 5-(19,10,448) (# 584) : der= 5-(19,9,224) and res= 5-(19,10,448) - the given design is the residual.
-
\cite{Krameretal85} $PGL(2,19)$ 3994 isomorphism types
-
\cite{TranvanTrung86}
# 584: 5-(19,10,448)
# 585: 5-(18,9,165)
# 586: 5-(19,9,231)
- clan: 11-(24,12,3), 1 times reduced t, 3 times derived, 2 times residual
-
Tran van Trung construction (left) for 5-(18,9,165) (# 585) : der= 5-(18,8,66) and res= 5-(18,9,165) - the given design is the residual.
-
$ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+
# 587: 5-(20,10,693)
- clan: 11-(24,12,3), 2 times reduced t, 2 times derived, 2 times residual
-
Tran van Trung construction with complementary design for 5-(19,9,231) (# 586)
-
Tran van Trung construction (right) for 5-(19,9,231) (# 586) : der= 5-(19,9,231) and res= 5-(19,10,462) - the given design is the derived.
-
Tran van Trung construction (left) for 5-(19,10,462) (# 588) : der= 5-(19,9,231) and res= 5-(19,10,462) - the given design is the residual.
-
\cite{Krameretal85} $PGL(2,19)$ 3968 isomorphism types
-
residual design of 6-(21,10,315) (# 13128)
-
derived from 6-(21,11,693) (# 13129)
-
residual design of supplementary of 6-(21,10,1050) (# 13131)
-
derived from supplementary of 6-(21,11,2310) (# 13132)
# 588: 5-(19,10,462)
# 589: 5-(20,9,315)
- clan: 11-(24,12,3), 2 times reduced t, 3 times derived, 1 times residual
-
Tran van Trung construction (left) for 5-(19,9,231) (# 586) : der= 5-(19,8,84) and res= 5-(19,9,231) - the given design is the residual.
-
\cite{Krameretal85} $PGL(2,19)$ 555 isomorphism types
-
derived from 6-(21,10,315) (# 13128)
-
derived from supplementary of 6-(21,10,1050) (# 13131)
# 590: 5-(21,10,1008)
- clan: 11-(24,12,3), 3 times reduced t, 2 times derived, 1 times residual
-
Tran van Trung construction (left) for 5-(20,10,693) (# 587) : der= 5-(20,9,315) and res= 5-(20,10,693) - the given design is the residual.
-
Tran van Trung construction (right) for 5-(20,9,315) (# 589) : der= 5-(20,9,315) and res= 5-(20,10,693) - the given design is the derived.
-
$PGL(2,19)+$
-
derived from 6-(22,11,1008) (# 8701)
-
design 6-(21,10,315) (# 13128) with respect to smaller t
-
derived from supplementary of 6-(22,11,3360) (# 13130)
-
supplementary design of 6-(21,10,1050) (# 13131) with respect to smaller t
# 591: 5-(21,11,1848)
- clan: 11-(24,12,3), 3 times reduced t, 1 times derived, 2 times residual
-
complementary design of 5-(21,10,1008) (# 590)
-
residual design of 6-(22,11,1008) (# 8701)
-
design 6-(21,11,693) (# 13129) with respect to smaller t
-
residual design of supplementary of 6-(22,11,3360) (# 13130)
-
supplementary design of 6-(21,11,2310) (# 13132) with respect to smaller t
-
Tran van Trung construction (left) for 5-(20,11,1155) (# 13134) : der= 5-(20,10,693) and res= 5-(20,11,1155) - the given design is the residual.
# 592: 5-(18,9,170)
# 593: 5-(19,9,238)
- clan: 7-(20,10,68), 1 times reduced t, 1 times derived
-
Tran van Trung construction (left) for 5-(18,9,170) (# 592) : der= 5-(18,8,68) and res= 5-(18,9,170) - the given design is the residual.
-
$ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+
# 594: 5-(20,10,714)
- clan: 7-(20,10,68), 2 times reduced t
-
Tran van Trung construction with complementary design for 5-(19,9,238) (# 593)
-
Tran van Trung construction (right) for 5-(19,9,238) (# 593) : der= 5-(19,9,238) and res= 5-(19,10,476) - the given design is the derived.
-
Tran van Trung construction (left) for 5-(19,10,476) (# 595) : der= 5-(19,9,238) and res= 5-(19,10,476) - the given design is the residual.
-
\cite{Krameretal85} $PGL(2,19)$
# 595: 5-(19,10,476)
# 596: 5-(18,9,175)
# 597: 5-(19,9,245)
- clan: 7-(20,10,70), 1 times reduced t, 1 times derived
-
Tran van Trung construction (left) for 5-(18,9,175) (# 596) : der= 5-(18,8,70) and res= 5-(18,9,175) - the given design is the residual.
-
$ {\bf PSL(2,17)}^+ $ % -group 4 PSL 2 17 Add_fixpoint PSL_2_17+
# 598: 5-(20,10,735)
- clan: 7-(20,10,70), 2 times reduced t
-
Tran van Trung construction with complementary design for 5-(19,9,245) (# 597)
-
Tran van Trung construction (right) for 5-(19,9,245) (# 597) : der= 5-(19,9,245) and res= 5-(19,10,490) - the given design is the derived.
-
Tran van Trung construction (left) for 5-(19,10,490) (# 599) : der= 5-(19,9,245) and res= 5-(19,10,490) - the given design is the residual.
-
\cite{Krameretal85} $PGL(2,19)$
# 599: 5-(19,10,490)
created: Fri Oct 23 11:09:32 CEST 2009