Table for CAN(5,k,9) for k up to 10000

Last Updated Sun May 8 14:02:10 MST 2016

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,9) 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 10 59049 orthogonal array 11 110808 extended OA (Colbourn) 12 138074 orthogonal array fuse fuse postop NCK 13 176676 perfect hash family3,13,10 postop NCK 14 216497 Martirosyan-TVT postop NCK 15 216567 Martirosyan-TVT postop NCK 16 216590 Martirosyan-TVT postop NCK 17 216597 Martirosyan-TVT postop NCK 18 216822 Martirosyan-TVT postop NCK 19 216893 Martirosyan-TVT postop NCK 20 228089 Martirosyan-TVT postop NCK 21 326749 Add 1 factors postop NCK 22 410825 Add 2 factors 23 463313 Add 3 factors 24 472384 perfect hash family8,24,10 25 497174 Add 9 factors 26 497181 Add 9 factors 27 501942 Add 9 factors 28 504605 Add 9 factors 29 515801 Add 9 factors 36 531432 Power N-CT9^2Tlev 40 576653 Power CZ2-9.8-5.1-8.1 45 576725 Power CZ2-9.9-5.1 48 584861 Power CZ2-9.8-6.1-8.1 54 584933 Power CZ2-9.9-6.1 56 588173 Power CZ2-9.8-7.1-8.1 63 588245 Power CZ2-9.9-7.1 64 589109 Power CZ2-9.8-8.1-8.1 72 589181 Power CZ2-9.9-8.1 81 589469 Power CZ2-9.10 82 590128 Power CZ2-10.10 83 695032 Add 1 factors 84 794176 Add 2 factors 85 846664 Add 3 factors 90 898493 Add 9 factors 91 899152 Add 9 factors 92 1004056 Add 9 factors 100 1068447 Power CZ2-11.9-10.1-10.1 110 1120198 Power CZ2-11.10-10.1 121 1171954 Power CZ2-11.11 126 1278383 Martirosyan-TVT 128 1279247 Martirosyan-TVT 144 1279319 Martirosyan-TVT 162 1279607 Martirosyan-TVT 164 1298378 Martirosyan-TVT 166 1405906 Martirosyan-TVT 168 1505050 Martirosyan-TVT 170 1557538 Martirosyan-TVT 180 1609367 Martirosyan-TVT 182 1641586 Martirosyan-TVT 183 1834618 Add 1 factors 184 1944778 Martirosyan-TVT 190 2010018 Power CZ2-19.9-10.1 199 2028753 Martirosyan-TVT variant 200 2059119 Martirosyan-TVT 209 2061188 Power CZ2-19.9-11.1 216 2084315 Power CZ2-19.8-12.1-18.1 228 2084386 Power CZ2-19.9-12.1 234 2127217 Power CZ2-19.8-13.1-18.1 247 2127288 Power CZ2-19.9-13.1 252 2158210 Power CZ2-19.8-14.1-18.1 266 2158281 Power CZ2-19.9-14.1 272 2165895 Power CZ2-19.8-16.1-17.1 273 2166049 Power CZ2-19.7-18.2-16.1 285 2166092 Power CZ2-19.9-15.1 288 2166120 Power CZ2-19.8-16.1-18.1 304 2166191 Power CZ2-19.9-16.1 306 2167492 Power CZ2-19.8-17.1-18.1 323 2167563 Power CZ2-19.9-17.1 324 2167717 Power CZ2-19.8-18.1-18.1 342 2167788 Power CZ2-19.9-18.1 361 2167859 Power CZ2-19.10 362 2280880 Power N-CT19^2+1 363 2519992 Add 1 factors 364 2605259 Add 3 factors 370 2657747 Add 9 factors 371 2770768 Add 9 factors 372 3009880 Add 9 factors 373 3095147 Add 9 factors 379 3147635 Add 9 factors 380 3261160 Add 9 factors 381 3500344 Add 9 factors 398 3526146 Martirosyan-Colbourn 400 3556512 Martirosyan-Colbourn 418 3560749 Martirosyan-Colbourn 432 3583876 Martirosyan-Colbourn 456 3583947 Martirosyan-Colbourn 468 3626778 Martirosyan-Colbourn 494 3626849 Martirosyan-Colbourn 504 3657771 Martirosyan-Colbourn 532 3657842 Martirosyan-Colbourn 544 3665456 Martirosyan-Colbourn 546 3665610 Martirosyan-Colbourn 570 3665653 Martirosyan-Colbourn 576 3665681 Martirosyan-Colbourn 608 3665752 Martirosyan-Colbourn 612 3667053 Martirosyan-Colbourn 646 3667124 Martirosyan-Colbourn 648 3667278 Martirosyan-Colbourn 684 3667349 Martirosyan-Colbourn 702 3667420 Martirosyan-Colbourn 722 3667548 Martirosyan-Colbourn 724 3780569 Martirosyan-Colbourn 726 4019681 Martirosyan-Colbourn 728 4104948 Martirosyan-Colbourn 738 4157436 Martirosyan-Colbourn 740 4157948 Martirosyan-Colbourn 742 4270969 Martirosyan-Colbourn 744 4510081 Martirosyan-Colbourn 746 4595348 Martirosyan-Colbourn 756 4647836 Martirosyan-Colbourn 758 4700316 Martirosyan-Colbourn 790 4774792 Power N-CT79^2T69 792 4826263 Power N-CT73^2T62T1 869 4826551 Power N-CT79^2T68 2700 4833902 Power N-CT83^2Arc(9)T47 6030 4892950 Power N-CT83^2Arc(9)T2 6031 5268502 Add 1 factors 6243 5305212 Power N-CT79^2+2 6244 5311143 Power N-CT79^2+3 6253 5416047 Power N-CT83^2Arc(8) 6329 5520951 Power N-CT83^2Arc(7) 6406 5625855 Power N-CT83^2Arc(6) 6484 5730759 Power N-CT83^2Arc(5) 6563 5835663 Power N-CT83^2Arc(4) 6643 5940567 Power N-CT83^2Arc(3) 6724 6045471 Power N-CT83^2T1T1 6806 6150375 Power N-CT83^2T1 6889 6255279 Power N-CT83^2 6890 6630831 Add 1 factors 6891 6823287 Add 2 factors 6892 6875775 Add 3 factors 6898 6928263 Add 9 factors 8100 6938623 Martirosyan-Colbourn 10000 6972991 Martirosyan-Colbourn

Graph: