Table for CAN(6,k,4) for k up to 10000

Last Updated Tue Nov 3 21:27:28 MST 2009

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;6,k,4) 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 7 4096 orthogonal array 8 7225 composition 9 9191 Density (Linnemann-Frewer) postop NCK 10 11197 Density (Colbourn) postop NCK 11 13058 Density (Linnemann-Frewer) postop NCK 12 14888 paintball (Kuhn) 13 16384 composition 14 18360 Density (Colbourn) postop NCK 15 20191 Density (Colbourn) postop NCK 16 21524 Density (Colbourn) postop NCK 17 22758 Density (Colbourn) postop NCK 18 23931 Density (Colbourn) postop NCK 19 26392 IPOG-F (NIST) 20 27534 IPOG-F (NIST) 21 28625 IPOG-F (NIST) 22 29640 IPOG-F (NIST) 23 30636 IPOG-F (NIST) 24 31591 IPOG-F (NIST) 25 32501 IPOG-F (NIST) 26 33369 IPOG-F (NIST) 27 34187 IPOG-F (NIST) 28 35006 IPOG-F (NIST) 29 35791 IPOG-F (NIST) 30 36570 IPOG-F (NIST) 31 37305 IPOG-F (NIST) 32 38015 IPOG-F (NIST) 33 38695 IPOG-F (NIST) 34 39356 IPOG-F (NIST) 35 40002 IPOG-F (NIST) 36 40638 IPOG-F (NIST) 37 55806 Add a factor 38 70974 Add a factor 39 86142 Add a factor 40 101310 Add a factor 41 116478 Add a factor 42 125537 Martirosyan-Tran van Trung 44 127104 Martirosyan-Tran van Trung 46 128667 Martirosyan-Tran van Trung 48 130087 Martirosyan-Tran van Trung 50 137597 Martirosyan-Tran van Trung 52 140088 Martirosyan-Tran van Trung 54 141383 Martirosyan-Tran van Trung 56 142655 Martirosyan-Tran van Trung 58 143881 Martirosyan-Tran van Trung 60 147107 Martirosyan-Tran van Trung 62 150274 Martirosyan-Tran van Trung 64 167991 Martirosyan-Tran van Trung 66 169040 Martirosyan-Tran van Trung 68 170076 Martirosyan-Tran van Trung 70 173607 Martirosyan-Tran van Trung 72 174597 Martirosyan-Tran van Trung 74 190122 Martirosyan-Tran van Trung 76 205620 Martirosyan-Tran van Trung 77 212572 Power 13^2T2S9 78 212906 Power 13^2S11 80 213703 Power 13^2T3S7 81 214068 Power 13^2T2S8 82 214402 Power 13^2S10 85 215199 Power 13^2T3S6 87 215564 Power 13^2T2S7 90 216695 Power 13^2T3S5 92 217060 Power 13^2T2S6 93 217394 Power 13^2S8 96 218191 Power 13^2T3S4 98 218556 Power 13^2T2S5 99 218843 Power 13^2T4T2 100 218988 Power 13^2T3T3 103 219687 Power 13^2T3S3 105 220052 Power 13^2T2S4 106 220386 Power 13^2S6 108 220673 Power 13^2T4T1 110 220849 Power 13^2T3T2 111 221183 Power 13^2T3S2 113 221548 Power 13^2T2S3 114 221882 Power 13^2S5 117 222169 Power 13^2T4 120 222679 Power 13^2T3T1 121 222710 Power 13^2T2T2 122 223044 Power 13^2T2S2 123 223378 Power 13^2S4 130 224175 Power 13^2T3 132 224540 Power 13^2T2T1 133 224874 Power 13^2S3 143 226036 Power 13^2T2 144 226370 Power 13^2T1T1 156 227866 Power 13^2T1 169 229362 Power 13^2 170 251538 Add a factor 171 273714 Add a factor 172 292183 Power 16^2T3S3 174 292826 Power 16^2T2S4 176 292856 Power 16^2T5 182 293018 Power 16^2T3T2 183 293516 Power 16^2T3S2 185 294159 Power 16^2T2S3 186 294657 Power 16^2S5 192 294686 Power 16^2T4 195 294849 Power 16^2T3T1 196 294994 Power 16^2T2T2 197 295492 Power 16^2T2S2 198 295990 Power 16^2S4 208 296182 Power 16^2T3 210 296825 Power 16^2T2T1 211 297323 Power 16^2S3 224 298158 Power 16^2T2 225 298656 Power 16^2T1T1 240 299989 Power 16^2T1 256 301322 Power 16^2 272 317364 Power 17^2T1 289 318598 Power 17^2 290 335020 Power 17^2+1 291 357196 Add a factor 307 362091 Power 19^2S3 324 364552 Power 19^2T1T1 342 367013 Power 19^2T1 361 369474 Power 19^2 362 385462 Power 19^2+1 363 400736 Power 19^2+2 364 414946 Power 19^2+3 368 419778 Power 23^2T7 374 420016 Power 23^2T6T1 378 420174 Power 23^2T5T2 379 420193 Power 23^2T5S2 391 421012 Power 23^2T6 396 421189 Power 23^2T5T1 414 422185 Power 23^2T5 418 423650 Power 23^2T4T1 420 423777 Power 23^2T3T2 421 423796 Power 23^2T3S2 423 423891 Power 23^2T2S3 424 423910 Power 23^2S5 437 424646 Power 23^2T4 440 424792 Power 23^2T3T1 441 424868 Power 23^2T2T2 442 424887 Power 23^2T2S2 443 424906 Power 23^2S4 460 425788 Power 23^2T3 462 425883 Power 23^2T2T1 463 425902 Power 23^2S3 483 426879 Power 23^2T2 484 426898 Power 23^2T1T1 506 427894 Power 23^2T1 529 428890 Power 23^2 530 442260 Power 23^2+1 531 451360 Power 25^2S4 550 452139 Power 25^2T3 552 452225 Power 25^2T2T1 553 452270 Power 25^2S3 575 453135 Power 25^2T2 576 453180 Power 25^2T1T1 600 454090 Power 25^2T1 625 455000 Power 25^2 626 467152 Power 25^2+1 627 475332 Power 27^2S4 648 476008 Power 27^2T3 650 476100 Power 27^2T2T1 651 476150 Power 27^2S3 675 476918 Power 27^2T2 676 476968 Power 27^2T1T1 702 477786 Power 27^2T1 729 478604 Power 27^2 730 490070 Power 27^2+1 731 497920 Power 29^2S4 754 498638 Power 29^2T3 756 498671 Power 29^2T2T1 757 498705 Power 29^2S3 783 499456 Power 29^2T2 784 499490 Power 29^2T1T1 812 500275 Power 29^2T1 841 501060 Power 29^2 842 511966 Power 29^2+1 843 519316 Power 31^2S4 868 519957 Power 31^2T3 870 520007 Power 31^2T2T1 871 520051 Power 31^2S3 899 520742 Power 31^2T2 900 520786 Power 31^2T1T1 930 521521 Power 31^2T1 961 522256 Power 31^2 992 531486 Power 32^2T1 1024 532196 Power 32^2 1025 541716 Power 32^2+1 1026 550970 Power 32^2+2 1027 560014 Power 32^2+3 1028 568918 Power 32^2 +4 1029 619270 Add a factor 1044 629590 Power 37^2S10 1072 644758 Power 37^2S9 1101 659926 Power 37^2S8 1131 675094 Power 37^2S7 1162 690262 Power 37^2S6 1194 705430 Power 37^2S5 1227 720598 Power 37^2S4 1261 735766 Power 37^2S3 1296 750934 Power 37^2T1T1 1332 766102 Power 37^2T1 1369 781270 Power 37^2 1370 835474 Add a factor 1512 865969 Power 27^3T20T19 1701 867935 Power 27^3T20T18 1728 869098 Power 27^3T19T19 1890 869941 Power 27^3T20T17 1944 871064 Power 27^3T19T18 2464 871663 Power 27^3T20S26 2478 872481 Power 27^3T20S25 2499 873299 Power 27^3T20S24 2527 874117 Power 27^3T20S23 2816 874792 Power 27^3T19S26 2832 875610 Power 27^3T19S25 2856 876428 Power 27^3T19S24 3168 876758 Power 27^3T18S26 3186 877576 Power 27^3T18S25 3213 878394 Power 27^3T18S24 3520 878764 Power 27^3T17S26 3540 879582 Power 27^3T17S25 3570 880400 Power 27^3T17S24 3872 880625 Power 27^3T16S26 3894 881443 Power 27^3T16S25 3927 882261 Power 27^3T16S24 4224 882455 Power 27^3T15S26 4248 883273 Power 27^3T15S25 4576 883951 Power 27^3T14S26 4602 884769 Power 27^3T14S25 4641 885587 Power 27^3T14S24 4928 885927 Power 27^3T13S26 4956 886745 Power 27^3T13S25 4998 887563 Power 27^3T13S24 5280 887758 Power 27^3T12S26 5310 888576 Power 27^3T12S25 5632 889091 Power 27^3T11S26 5664 889909 Power 27^3T11S25 5984 890325 Power 27^3T10S26 6018 891143 Power 27^3T10S25 6336 891498 Power 27^3T9S26 6372 892316 Power 27^3T9S25 6426 893134 Power 27^3T9S24 6498 893952 Power 27^3T9S23 6688 893959 Power 27^3T8S26 6726 894777 Power 27^3T8S25 7040 895101 Power 27^3T7S26 7080 895919 Power 27^3T7S25 7392 896192 Power 27^3T6S26 7434 897010 Power 27^3T6S25 7744 897207 Power 27^3T5S26 7788 898025 Power 27^3T5S25 8096 898203 Power 27^3T4S26 8142 899021 Power 27^3T4S25 8448 899158 Power 27^3T3S26 8496 899976 Power 27^3T3S25 8800 900068 Power 27^3T2S26 8850 900886 Power 27^3T2S25 9152 900936 Power 27^3S27 9204 901754 Power 27^3S26 9282 902572 Power 27^3S25 9386 903390 Power 27^3S24 9516 904208 Power 27^3S23 9672 905026 Power 27^3S22 9675 905794 Power 27^3T2S19 9854 905844 Power 27^3S21 9900 906612 Power 27^3T2S18 10000 906662 Power 27^3S20

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