Table for CAN(5,k,8) 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,8) 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 9 32768 orthogonal array 10 53681 orthogonal array fuse postop NCK 11 81017 Martirosyan-TVT postop NCK 12 98000 perfect hash family3,12,9 postop NCK 13 116946 Martirosyan-TVT postop NCK 14 117943 Martirosyan-TVT postop NCK 15 118096 Martirosyan-TVT postop NCK 16 118387 Martirosyan-TVT postop NCK 17 118772 Martirosyan-TVT postop NCK 18 125872 Martirosyan-TVT postop NCK 19 161572 Martirosyan-TVT variant postop NCK 20 174235 Martirosyan-TVT postop NCK 21 231131 Add 1 factors 22 266679 Add 8 factors 23 272208 Add 8 factors 24 272499 Add 8 factors 25 275572 Add 8 factors 26 283568 Add 8 factors 27 294679 Power CZ2-9.9-3.1 36 294903 Power N-CT9^2Tlev 40 317905 Power CZ2-9.8-5.1-8.1 45 318199 Power CZ2-9.9-5.1 48 323953 Power CZ2-9.8-6.1-8.1 54 324247 Power CZ2-9.9-6.1 57 326452 Power CZ2-9.7-8.3 64 326459 Power CZ2-9.8-8.1-8.1 72 326753 Power CZ2-9.9-8.1 81 327047 Power CZ2-9.10 82 408527 Add 1 factors 83 462287 Add 2 factors 84 490959 Add 3 factors 89 519631 Add 8 factors 90 601111 Add 1 factors 91 660247 Add 8 factors 96 684140 Martirosyan-TVT 108 701927 Martirosyan-TVT 114 704132 Martirosyan-TVT 128 704139 Martirosyan-TVT 144 710705 Martirosyan-TVT 146 722521 Martirosyan-TVT 147 774361 Martirosyan-TVT variant 161 826201 Martirosyan-TVT variant 162 843661 Martirosyan-TVT 163 930573 Add 1 factors 164 956804 Martirosyan-TVT 166 1010564 Martirosyan-TVT 168 1039236 Martirosyan-TVT 169 1043481 Add 8 factors 170 1060941 Add 8 factors 178 1067908 Martirosyan-TVT 179 1149388 Martirosyan-TVT variant 180 1152298 Martirosyan-TVT 187 1221793 Power CZ2-17.10-11.1 192 1226098 Power CZ2-16.10-12.1 204 1230436 Power CZ2-17.10-12.1 208 1234291 Power CZ2-16.10-13.1 221 1238629 Power CZ2-17.10-13.1 224 1243038 Power CZ2-16.10-14.1 238 1247376 Power CZ2-17.10-14.1 240 1255245 Power CZ2-16.10-15.1 255 1259583 Power CZ2-17.10-15.1 256 1261509 Power CZ2-16.11 272 1265847 Power CZ2-17.10-16.1 289 1276167 Power CZ2-17.11 290 1361352 Power CZ2-18.11 292 1426585 Martirosyan-TVT 294 1478425 Martirosyan-TVT 307 1507731 Power CZ2-19.7-18.3 309 1530265 Martirosyan-TVT variant 313 1533369 Martirosyan-TVT variant 320 1539577 Martirosyan-TVT 324 1543431 Power CZ2-19.8-18.1-18.1 342 1579375 Power CZ2-19.9-18.1 361 1615438 Power CZ2-19.10 362 1742340 Power N-CT19^2+1 363 1823702 Add 2 factors 364 1852374 Add 3 factors 369 1881046 Add 8 factors 374 1979305 Martirosyan-TVT 384 1983610 Martirosyan-TVT 388 1987948 Martirosyan-TVT 408 1990763 Martirosyan-Colbourn 416 1994618 Martirosyan-Colbourn 442 1998956 Martirosyan-Colbourn 448 2003365 Martirosyan-Colbourn 476 2007703 Martirosyan-Colbourn 480 2015572 Martirosyan-Colbourn 510 2019910 Martirosyan-Colbourn 512 2021836 Martirosyan-Colbourn 544 2026174 Martirosyan-Colbourn 576 2036494 Martirosyan-Colbourn 578 2057277 Martirosyan-Colbourn 580 2142462 Martirosyan-Colbourn 584 2207695 Martirosyan-Colbourn 588 2259535 Martirosyan-Colbourn 614 2288841 Martirosyan-Colbourn 618 2311375 Martirosyan-Colbourn 626 2314479 Martirosyan-Colbourn 640 2320687 Martirosyan-Colbourn 648 2324541 Martirosyan-Colbourn 684 2368808 Martirosyan-Colbourn 722 2404871 Martirosyan-Colbourn 724 2531773 Martirosyan-Colbourn 726 2613135 Martirosyan-Colbourn 729 2616368 perfect hash family8,729,81 731 2664355 Power N-CT43^2T26 790 2670048 Power N-CT79^2T69 792 2697090 Power N-CT73^2T62T1 869 2697384 Power N-CT79^2T68 901 2712739 Power N-CT53^2T36 948 2714367 Power N-CT79^2T67 954 2719839 Power N-CT53^2T35 976 2730050 Power N-CT61^2T45 1037 2730435 Power N-CT61^2T44 1065 2732111 Power N-CT71^2T56 1136 2732402 Power N-CT71^2T55 1207 2732787 Power N-CT71^2T54 1208 2734551 Power N-CT73^2Arc(2)T56 1264 2734754 Power N-CT79^2T63 1343 2735139 Power N-CT79^2T62 1422 2742239 Power N-CT79^2T61 1501 2777939 Power N-CT79^2T60 1580 2790602 Power N-CT79^2T59 1659 2847498 Power N-CT79^2T58 1720 2863488 Power N-CT43^2T3 1851 2863782 Power N-CT43^2+2 1896 2888866 Power N-CT79^2T55 1908 2888870 Power N-CT53^2T17 1975 2891939 Power N-CT79^2T54 2054 2899935 Power N-CT79^2T53 2196 2906566 Power N-CT61^2T25 2205 2908330 Power N-CT67^2Trin3,3,31 2340 2908624 Power N-CT73^2Arc(9)T37 2556 2908918 Power N-CT71^2T35 2557 2910682 Power N-CT73^2Arc(2)T37 2592 2910976 Power N-CT73^2T37T1 2844 2911270 Power N-CT79^2T43 2916 2931920 Power N-CT73^2Arc(9)T28 3195 2932214 Power N-CT71^2T26 3196 2933978 Power N-CT73^2Arc(2)T28 3240 2934272 Power N-CT73^2T28T1 3555 2934566 Power N-CT79^2T34 3724 2938122 Power N-CT61^2+3 3834 2938262 Power N-CT71^2T17 3913 2939886 Power N-CT67^2Trin3,3,3 4132 2940180 Power N-CT73^2Arc(9)T9 4580 2940474 Power N-CT73^2Arc(9)T2 5042 2940768 Power N-CT71^2+1 5043 2942238 Power N-CT73^2Arc(4) 5113 2942532 Power N-CT73^2Arc(3) 5184 2942826 Power N-CT73^2T1T1 5688 2943120 Power N-CT79^2T7 6243 2943414 Power N-CT79^2+2 6244 3186286 Add 1 factors 6245 3290222 Add 2 factors 6246 3318894 Add 3 factors 6251 3347566 Add 8 factors 6252 3505158 Add 9 factors 6561 3597506 Power CT81^2 6562 3845082 Add 1 factors 6563 3945534 Power N-CT83^2Arc(4) 8322 3963924 Martirosyan-Colbourn 8323 4224044 Add 1 factors 8324 4336940 Add 2 factors 8325 4365612 Add 3 factors 8330 4394284 Add 8 factors 8331 4560804 Add 9 factors 8332 4767300 Add 8 factors 8333 4795972 Add 8 factors 8338 4824644 Add 8 factors 8339 4991164 Add 9 factors 9160 5107058 Martirosyan-TVT 9362 5107352 Martirosyan-TVT 9363 5159320 Martirosyan-TVT variant 10000 5211288 Martirosyan-TVT

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