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)  
 
 # 201: 4-(21,10,4312) 
 # 202: 5-(22,11,4312) 
- 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)  
 
 # 203: 4-(21,10,4368) 
 # 204: 5-(22,11,4368) 
- 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)  
 
 # 205: 4-(21,10,4396) 
 # 206: 5-(22,11,4396) 
- 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)  
 
 # 207: 4-(21,10,4452) 
 # 208: 5-(22,11,4452) 
- 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)  
 
 # 209: 4-(21,10,448) 
 # 210: 5-(22,11,448) 
- 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) 
 
 # 211: 4-(21,10,4480) 
 # 212: 5-(22,11,4480) 
 # 213: 4-(21,10,4536) 
 # 214: 5-(22,11,4536) 
- 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)  
 
 # 215: 4-(21,10,4564) 
 # 216: 5-(22,11,4564) 
- 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)  
 
 # 217: 4-(21,10,4620) 
 # 218: 5-(22,11,4620) 
 # 219: 4-(21,10,4648) 
 # 220: 5-(22,11,4648) 
 # 221: 4-(21,10,4704) 
 # 222: 5-(22,11,4704) 
- 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)  
 
 # 223: 4-(21,10,4732) 
 # 224: 5-(22,11,4732) 
 # 225: 4-(21,10,4816) 
 # 226: 5-(22,11,4816) 
- 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)  
 
 # 227: 4-(21,10,4872) 
 # 228: 5-(22,11,4872) 
 # 229: 4-(21,10,4900) 
 # 230: 5-(22,11,4900) 
- 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)  
 
 # 231: 4-(21,10,4956) 
 # 232: 5-(22,11,4956) 
 # 233: 4-(21,10,4984) 
 # 234: 5-(22,11,4984) 
 # 235: 4-(21,10,504) 
 # 236: 5-(22,11,504) 
 # 237: 4-(21,10,5040) 
 # 238: 5-(22,11,5040) 
- 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)  
 
 # 239: 4-(21,10,5124) 
 # 240: 5-(22,11,5124) 
 # 241: 4-(21,10,5152) 
 # 242: 5-(22,11,5152) 
- 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)  
 
 # 243: 4-(21,10,5208) 
 # 244: 5-(22,11,5208) 
 # 245: 4-(21,10,5236) 
 # 246: 5-(22,11,5236) 
- 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
 
 # 247: 4-(21,10,5292) 
 # 248: 5-(22,11,5292) 
- 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)  
 
 # 249: 4-(21,10,532) 
 # 250: 5-(22,11,532) 
 # 251: 4-(21,10,5320) 
 # 252: 5-(22,11,5320) 
- 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)  
 
 # 253: 4-(21,10,5376) 
 # 254: 5-(22,11,5376) 
 # 255: 4-(21,10,5404) 
 # 256: 5-(22,11,5404) 
 # 257: 4-(21,10,5460) 
 # 258: 5-(22,11,5460) 
- 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)  
 
 # 259: 4-(21,10,5544) 
 # 260: 5-(22,11,5544) 
- 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)  
 
 # 261: 4-(21,10,5572) 
 # 262: 5-(22,11,5572) 
- 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)  
 
 # 263: 4-(21,10,5656) 
 # 264: 5-(22,11,5656) 
 # 265: 4-(21,10,5712) 
 # 266: 5-(22,11,5712) 
- 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
 
 # 267: 4-(21,10,5740) 
 # 268: 5-(22,11,5740) 
 # 269: 4-(21,10,5768) 
 # 270: 5-(22,11,5768) 
 # 271: 4-(21,10,5796) 
 # 272: 5-(22,11,5796) 
- 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)  
 
 # 273: 4-(21,10,5824) 
 # 274: 5-(22,11,5824) 
- 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)  
 
 # 275: 4-(21,10,5852) 
 # 276: 5-(22,11,5852) 
 # 277: 4-(21,10,5880) 
 # 278: 5-(22,11,5880) 
- 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) 
 
 # 279: 4-(21,10,5908) 
 # 280: 5-(22,11,5908) 
 # 281: 4-(21,10,5936) 
 # 282: 5-(22,11,5936) 
 # 283: 4-(21,10,5964) 
 # 284: 5-(22,11,5964) 
- 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)  
 
 # 285: 4-(21,10,5992) 
 # 286: 5-(22,11,5992) 
 # 287: 4-(21,10,6020) 
 # 288: 5-(22,11,6020) 
 # 289: 4-(21,10,6048) 
 # 290: 5-(22,11,6048) 
 # 291: 4-(21,10,6076) 
 # 292: 5-(22,11,6076) 
- 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)  
 
 # 293: 4-(21,10,6104) 
 # 294: 5-(22,11,6104) 
 # 295: 4-(21,10,6132) 
 # 296: 5-(22,11,6132) 
 # 297: 4-(21,10,616) 
 # 298: 5-(22,11,616) 
 # 299: 4-(21,10,6160) 
created: Fri Oct 23 11:09:28 CEST 2009