t designs with small t, id ge 200
# 200: 5-(22,11,4284)
- clan: 8-(24,12,630), 1 times reduced t, 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,4284) (# 199)
- Tran van Trung construction with complementary design for 5-(21,10,1512) (# 951)
- Tran van Trung construction (right) for 5-(21,10,1512) (# 951) : der= 5-(21,10,1512) and res= 5-(21,11,2772) - the given design is the derived.
- Tran van Trung construction (left) for 5-(21,11,2772) (# 952) : der= 5-(21,10,1512) and res= 5-(21,11,2772) - the given design is the residual.
- \cite{Kreher95}
- design 6-(22,11,1512) (# 8705) with respect to smaller t
- residual design of 6-(23,11,2142) (# 9343)
- derived from 6-(23,12,4284) (# 9351)
- residual design of supplementary of 6-(23,11,4046) (# 9353)
- derived from supplementary of 6-(23,12,8092) (# 9354)
- clan: 7-(24,12,2156), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2156), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,4312) (# 201)
- residual design of 6-(23,11,2156) (# 9358)
- derived from 6-(23,12,4312) (# 9367)
- residual design of supplementary of 6-(23,11,4032) (# 9369)
- derived from supplementary of 6-(23,12,8064) (# 9370)
- clan: 15-(32,16,6), 6 times derived, 5 times residual
- PGL(3,4)
- clan: 15-(32,16,6), 5 times derived, 5 times residual
- Alltop construction for design 4-(21,10,4368) (# 203)
- PGL(3,4)+ Alltop construction from 4-(21,10,4368)
- residual design of 6-(23,11,2184) (# 13212)
- residual design of supplementary of 6-(23,11,4004) (# 13214)
- derived from 6-(23,12,4368) (# 13230)
- derived from supplementary of 6-(23,12,8008) (# 13231)
- clan: 7-(24,12,2198), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2198), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,4396) (# 205)
- residual design of 6-(23,11,2198) (# 9374)
- derived from 6-(23,12,4396) (# 9385)
- residual design of supplementary of 6-(23,11,3990) (# 9387)
- derived from supplementary of 6-(23,12,7980) (# 9388)
- clan: 7-(24,12,2226), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2226), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,4452) (# 207)
- residual design of 6-(23,11,2226) (# 9392)
- derived from 6-(23,12,4452) (# 9403)
- residual design of supplementary of 6-(23,11,3962) (# 9405)
- derived from supplementary of 6-(23,12,7924) (# 9406)
- clan: 7-(24,12,224), 2 times derived, 1 times residual
- $PSL(3,4)$ 1 isomorphism type
- clan: 7-(24,12,224), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,448) (# 209)
- \cite{Kreher95} $PSL(3,4)+$ 1 isomorphism type, Alltop construction from 4-(21,10,448)
- clan: 7-(24,12,2240), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2240), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,4480) (# 211)
- clan: 7-(24,12,2268), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2268), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,4536) (# 213)
- residual design of 6-(23,11,2268) (# 9410)
- derived from 6-(23,12,4536) (# 9421)
- residual design of supplementary of 6-(23,11,3920) (# 9423)
- derived from supplementary of 6-(23,12,7840) (# 9424)
- clan: 7-(24,12,2282), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2282), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,4564) (# 215)
- residual design of 6-(23,11,2282) (# 9428)
- derived from 6-(23,12,4564) (# 9439)
- residual design of supplementary of 6-(23,11,3906) (# 9441)
- derived from supplementary of 6-(23,12,7812) (# 9442)
- clan: 7-(24,12,2310), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2310), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,4620) (# 217)
- $PGL(2,19)++$
- clan: 7-(24,12,2324), 2 times derived, 1 times residual
- PGL(3,4)
- clan: 7-(24,12,2324), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,4648) (# 219)
- PGL(3,4)+ Alltop construction from 4-(21,10,4648)
- clan: 7-(24,12,2352), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2352), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,4704) (# 221)
- residual design of 6-(23,11,2352) (# 9446)
- derived from 6-(23,12,4704) (# 9455)
- residual design of supplementary of 6-(23,11,3836) (# 9457)
- derived from supplementary of 6-(23,12,7672) (# 9458)
- clan: 13-(30,15,52), 5 times derived, 4 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 13-(30,15,52), 4 times derived, 4 times residual
- Alltop construction for design 4-(21,10,4732) (# 223)
- clan: 7-(24,12,2408), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- PGL(3,4)
- clan: 7-(24,12,2408), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,4816) (# 225)
- PGL(3,4)+ Alltop construction from 4-(21,10,4816)
- residual design of 6-(23,11,2408) (# 9462)
- derived from 6-(23,12,4816) (# 9473)
- residual design of supplementary of 6-(23,11,3780) (# 9475)
- derived from supplementary of 6-(23,12,7560) (# 9476)
- clan: 7-(24,12,2436), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2436), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,4872) (# 227)
- clan: 7-(24,12,2450), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2450), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,4900) (# 229)
- residual design of 6-(23,11,2450) (# 9480)
- derived from 6-(23,12,4900) (# 9491)
- residual design of supplementary of 6-(23,11,3738) (# 9493)
- derived from supplementary of 6-(23,12,7476) (# 9494)
- clan: 7-(24,12,2478), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2478), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,4956) (# 231)
- clan: 7-(24,12,2492), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- PSL(3,4)
- clan: 7-(24,12,2492), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,4984) (# 233)
- $M_{22}$ Alltop construction from 4-(21,10,4984) \cite{Schmalz}
- clan: 7-(24,12,252), 2 times derived, 1 times residual
- ${\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,252), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,504) (# 235)
- $PGL(2,19)++$
- clan: 7-(24,12,2520), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2520), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,5040) (# 237)
- $PGL(2,19)++$
- residual design of 6-(23,11,2520) (# 9498)
- derived from 6-(23,12,5040) (# 9507)
- residual design of supplementary of 6-(23,11,3668) (# 9509)
- derived from supplementary of 6-(23,12,7336) (# 9510)
- clan: 7-(24,12,2562), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2562), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,5124) (# 239)
- $PGL(2,19)++$
- clan: 7-(24,12,2576), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2576), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,5152) (# 241)
- $PSL(3,4)+$
- residual design of 6-(23,11,2576) (# 9514)
- derived from 6-(23,12,5152) (# 9524)
- residual design of supplementary of 6-(23,11,3612) (# 9526)
- derived from supplementary of 6-(23,12,7224) (# 9527)
- clan: 7-(24,12,2604), 2 times derived, 1 times residual
- PGL(3,4)
- clan: 7-(24,12,2604), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,5208) (# 243)
- PGL(3,4)+ Alltop construction from 4-(21,10,5208)
- clan: 8-(24,12,770), 1 times reduced t, 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 8-(24,12,770), 1 times reduced t, 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,5236) (# 245)
- Tran van Trung construction with complementary design for 5-(21,10,1848) (# 953)
- Tran van Trung construction (right) for 5-(21,10,1848) (# 953) : der= 5-(21,10,1848) and res= 5-(21,11,3388) - the given design is the derived.
- Tran van Trung construction (left) for 5-(21,11,3388) (# 954) : der= 5-(21,10,1848) and res= 5-(21,11,3388) - the given design is the residual.
- \cite{Kreher95}
- design 6-(22,11,1848) (# 8709) with respect to smaller t
- clan: 7-(24,12,2646), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2646), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,5292) (# 247)
- residual design of 6-(23,11,2646) (# 9531)
- derived from 6-(23,12,5292) (# 9542)
- residual design of supplementary of 6-(23,11,3542) (# 9544)
- derived from supplementary of 6-(23,12,7084) (# 9545)
- clan: 7-(24,12,266), 2 times derived, 1 times residual
- ${\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,266), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,532) (# 249)
- clan: 7-(24,12,2660), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2660), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,5320) (# 251)
- residual design of 6-(23,11,2660) (# 9549)
- derived from 6-(23,12,5320) (# 9560)
- residual design of supplementary of 6-(23,11,3528) (# 9562)
- derived from supplementary of 6-(23,12,7056) (# 9563)
- clan: 7-(24,12,2688), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- PSL(3,4)
- clan: 7-(24,12,2688), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,5376) (# 253)
- PSL(3,4)+ Alltop construction from 4-(21,10,5376)
- clan: 7-(24,12,2702), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2702), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,5404) (# 255)
- clan: 13-(30,15,60), 5 times derived, 4 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 13-(30,15,60), 4 times derived, 4 times residual
- Alltop construction for design 4-(21,10,5460) (# 257)
- residual design of 6-(23,11,2730) (# 9567)
- derived from 6-(23,12,5460) (# 9577)
- residual design of supplementary of 6-(23,11,3458) (# 9579)
- derived from supplementary of 6-(23,12,6916) (# 9580)
- clan: 7-(24,12,2772), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- PSL(3,4)
- clan: 7-(24,12,2772), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,5544) (# 259)
- $M_{11}\times C_2$
- $PSL(3,4)+$ Alltop construction from 4-(21,10,5544)
- residual design of 6-(23,11,2772) (# 9598)
- derived from 6-(23,12,5544) (# 9606)
- residual design of supplementary of 6-(23,11,3416) (# 9608)
- derived from supplementary of 6-(23,12,6832) (# 9609)
- clan: 7-(24,12,2786), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2786), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,5572) (# 261)
- residual design of 6-(23,11,2786) (# 9613)
- derived from 6-(23,12,5572) (# 9623)
- residual design of supplementary of 6-(23,11,3402) (# 9625)
- derived from supplementary of 6-(23,12,6804) (# 9626)
- clan: 7-(24,12,2828), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- PGL(3,4)
- clan: 7-(24,12,2828), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,5656) (# 263)
- $PGL(3,4)+$ Alltop construction from 4-(21,10,5656)
- \cite{Kreher95}
- clan: 11-(24,12,6), 4 times reduced t, 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 11-(24,12,6), 4 times reduced t, 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,5712) (# 265)
- Tran van Trung construction with complementary design for 5-(21,10,2016) (# 717)
- Tran van Trung construction (right) for 5-(21,10,2016) (# 717) : der= 5-(21,10,2016) and res= 5-(21,11,3696) - the given design is the derived.
- Tran van Trung construction (left) for 5-(21,11,3696) (# 718) : der= 5-(21,10,2016) and res= 5-(21,11,3696) - the given design is the residual.
- \cite{Kreher95} $PSL(3,4)+$
- design 6-(22,11,2016) (# 8713) with respect to smaller t
- residual design of 6-(23,11,2856) (# 8714)
- derived from 6-(23,12,5712) (# 8719)
- residual design of supplementary of 6-(23,11,3332) (# 8721)
- derived from supplementary of 6-(23,12,6664) (# 8722)
- supplementary design of 6-(22,11,2352) (# 13140) with respect to smaller t
- clan: 7-(24,12,2870), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2870), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,5740) (# 267)
- clan: 7-(24,12,2884), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2884), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,5768) (# 269)
- clan: 7-(24,12,2898), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2898), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,5796) (# 271)
- residual design of 6-(23,11,2898) (# 9630)
- derived from 6-(23,12,5796) (# 9638)
- residual design of supplementary of 6-(23,11,3290) (# 9640)
- derived from supplementary of 6-(23,12,6580) (# 9641)
- clan: 15-(32,16,8), 6 times derived, 5 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 15-(32,16,8), 5 times derived, 5 times residual
- Alltop construction for design 4-(21,10,5824) (# 273)
- $PSL(3,4)+$
- residual design of 6-(23,11,2912) (# 9645)
- derived from 6-(23,12,5824) (# 9652)
- residual design of supplementary of 6-(23,11,3276) (# 9654)
- derived from supplementary of 6-(23,12,6552) (# 9655)
- clan: 7-(24,12,2926), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2926), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,5852) (# 275)
- clan: 7-(24,12,2940), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- PGL(3,4)
- clan: 7-(24,12,2940), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,5880) (# 277)
- $PGL(3,4)+$, $PGL(2,19)++$, Alltop construction from 4-(21,10,5880)
- clan: 7-(24,12,2954), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2954), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,5908) (# 279)
- clan: 7-(24,12,2968), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2968), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,5936) (# 281)
- clan: 7-(24,12,2982), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2982), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,5964) (# 283)
- residual design of 6-(23,11,2982) (# 9670)
- derived from 6-(23,12,5964) (# 9680)
- residual design of supplementary of 6-(23,11,3206) (# 9682)
- derived from supplementary of 6-(23,12,6412) (# 9683)
- clan: 7-(24,12,2996), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,2996), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,5992) (# 285)
- $PSL(3,4)+$
- clan: 7-(24,12,3010), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,3010), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,6020) (# 287)
- clan: 7-(24,12,3024), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- PSL(3,4)
- clan: 7-(24,12,3024), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,6048) (# 289)
- $PSL(3,4)+$ Alltop construction from 4-(21,10,6048)
- clan: 7-(24,12,3038), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,3038), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,6076) (# 291)
- residual design of 6-(23,11,3038) (# 9687)
- derived from 6-(23,12,6076) (# 9697)
- residual design of supplementary of 6-(23,11,3150) (# 9699)
- derived from supplementary of 6-(23,12,6300) (# 9700)
- clan: 7-(24,12,3052), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,3052), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,6104) (# 293)
- clan: 7-(24,12,3066), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,3066), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,6132) (# 295)
- clan: 7-(24,12,308), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
- clan: 7-(24,12,308), 1 times derived, 1 times residual
- Alltop construction for design 4-(21,10,616) (# 297)
- clan: 7-(24,12,3080), 2 times derived, 1 times residual
- $ {\bf PSL(2,19)}^+ $ % -group 4 PSL 2 19 Add_fixpoint PSL_2_19+
created: Fri Oct 23 11:09:28 CEST 2009