Table for CAN(5,k,2) for k up to 10000

Last Updated Tue Jan 31 05:19:54 MST 2012

Locate the k in the first column that is at least as large as the number of factors in which you are interested. Then let N be the number of rows (tests) given in the second column. A CA(N;5,k,2) exists according to a construction in the reference (cryptically) given in the third column. The accompanying graph plots N vertically against log k (base 10).

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k N Source 6 32 orthogonal array 7 42 Johnson-Entringer 8 52 Steiner system (CKRS) 9 54 Steiner system (CKRS) 10 56 Steiner system (CKRS) 14 64 Derive from strength 6 15 79 simulated annealing (Torres-Jimenez) 16 99 simulated annealing (Torres-Jimenez) 17 104 simulated annealing (Torres-Jimenez) 18 107 simulated annealing (Torres-Jimenez) 19 116 simulated annealing (Torres-Jimenez) 20 119 simulated annealing (Torres-Jimenez) 21 122 simulated annealing (Torres-Jimenez) 22 124 simulated annealing (Torres-Jimenez) 24 132 simulated annealing (Torres-Jimenez) 35 134 Cyclic (Colbourn-Keri) 68 136 Cyclic (Colbourn-Keri) 72 144 Cyclic (Colbourn-Keri) 80 160 Cyclic (Colbourn-Keri) 84 168 Cyclic (Colbourn-Keri) 90 178 Cyclic (Colbourn-Keri) 98 194 Cyclic (Colbourn-Keri) 102 202 Cyclic (Colbourn-Keri) 103 206 Cyclic (Colbourn-Keri) 108 214 Cyclic (Colbourn-Keri) 110 218 Cyclic (Colbourn-Keri) 114 226 Cyclic (Colbourn-Keri) 128 252 Torres-Jimenez 132 260 Torres-Jimenez 138 272 Torres-Jimenez 140 274 Torres-Jimenez 150 289 Torres-Jimenez 152 292 Torres-Jimenez 158 305 Torres-Jimenez 164 310 Torres-Jimenez 168 318 Torres-Jimenez 174 331 Torres-Jimenez 180 338 Torres-Jimenez 192 352 Torres-Jimenez 359 359 Derive from strength 6 378 379 Derive from strength 6 379 380 Cyclotomy (Colbourn) 431 431 Derive from strength 6 433 434 Cyclotomy (Colbourn) 463 463 Derive from strength 6 467 467 Derive from strength 6 487 487 Derive from strength 6 491 491 Derive from strength 6 499 499 Derive from strength 6 503 503 Derive from strength 6 509 509 Derive from strength 6 521 521 Derive from strength 6 523 523 Cyclotomy (Colbourn) 541 541 Cyclotomy (Colbourn) 547 547 Cyclotomy (Colbourn) 557 557 Cyclotomy (Colbourn) 563 563 Cyclotomy (Colbourn) 569 570 Cyclotomy (Colbourn) 571 571 Cyclotomy (Colbourn) 577 577 Cyclotomy (Colbourn) 587 587 Cyclotomy (Colbourn) 593 593 Cyclotomy (Colbourn) 599 599 Cyclotomy (Colbourn) 601 601 Cyclotomy (Colbourn) 607 607 Cyclotomy (Colbourn) 613 613 Cyclotomy (Colbourn) 1230 615 Derive from strength 6 1282 641 Derive from strength 6 1318 659 Derive from strength 6 1360 680 Derive from strength 6 1366 683 Derive from strength 6 1372 686 Derive from strength 6 1380 690 Derive from strength 6 1422 711 Derive from strength 6 1426 713 Derive from strength 6 1428 714 Derive from strength 6 1438 719 Derive from strength 6 1446 723 Derive from strength 6 1690 792 Power CZ3-13.12-10.1 1859 814 Power CZ3-13.12-11.1 2198 819 Power CT13^3+1 2380 938 Power CT68^2,cT33c 4624 940 Power CT68^2,c 4707 985 Power CT73^2Arc(7)T2 4896 988 Power CT72^2,cT4c 5184 996 Power CT72^2,c 5440 1084 Power CT80^2,cT12c 5760 1092 Power CT80^2,cT8c 5867 1105 Power CT81^2Arc(7)T2 6400 1108 Power CT80^2,c 6720 1156 Power CT84^2,cT4c 7056 1164 Power CT84^2,c 7200 1216 Power CT90^2,cT10c 7560 1224 Power CT90^2,cT6c 8100 1234 Power CT90^2,c 8232 1320 Power CT98^2,cT14c 8820 1330 Power CT98^2,cT8c 9604 1346 Power CT98^2,c 9898 1394 Power CT101^2,cT3c 10000 1402 Power CT100^2,c

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