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

Last Updated Sat Nov 16 19:19:53 MST 2019

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,6) 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 46656 composition 8 70761 orthogonal array fuse postop NCK 9 106471 Torres-Jimenez 10 131742 MIPOG (Younis) postop NCK 11 157440 Martirosyan-TVT postop NCK 12 183244 Martirosyan-TVT postop NCK 13 210598 Martirosyan-TVT postop NCK 14 235561 Martirosyan-TVT postop NCK 15 261440 Martirosyan-TVT postop NCK 16 286636 Martirosyan-TVT postop NCK 17 350537 4-Restricted SCPHF RE (CL) fuse 18 423468 Two-stage (Sarkar-Colbourn) 20 436973 5,5-Restricted SCPHF RE (CL) fuse 21 453773 5-Restricted SCPHF RE (CL) fuse 22 468179 4-Restricted SCPHF RE (CL) fuse 23 470573 SCPHF Random Extension (CLS) fuse 24 512940 Two-stage (Sarkar-Colbourn) 25 525536 Two-stage (Sarkar-Colbourn) 26 537396 Two-stage (Sarkar-Colbourn) 27 548781 Two-stage (Sarkar-Colbourn) 29 585821 4-Restricted SCPHF RE (CL) fuse 31 587879 3-Restricted SCPHF RE (CL) fuse 33 655457 5,5,5-Restricted SCPHF RE (CL) fuse 36 672257 5,5-Restricted SCPHF RE (CL) fuse 38 689057 5-Restricted SCPHF RE (CL) fuse 39 705521 3-Restricted SCPHF RE (CL) fuse 40 705815 2-Restricted SCPHF RE (CL) fuse 41 705857 SCPHF Random Extension (CLS) fuse 44 773099 5,5,5-Restricted SCPHF RE (CL) fuse 46 789899 5,5-Restricted SCPHF RE (CL) fuse 49 806699 5-Restricted SCPHF RE (CL) fuse 51 821105 4-Restricted SCPHF RE (CL) fuse 52 823163 3-Restricted SCPHF RE (CL) fuse 55 823457 2-Restricted SCPHF RE (CL) fuse 56 873941 5+-Restricted SCPHF RE (CL) fuse 58 890741 5,5,5-Restricted SCPHF RE (CL) fuse 63 907541 5,5-Restricted SCPHF RE (CL) fuse 68 924341 5-Restricted SCPHF RE (CL) fuse 70 938747 4-Restricted SCPHF RE (CL) fuse 75 940805 3-Restricted SCPHF RE (CL) fuse 76 941099 2-Restricted SCPHF RE (CL) fuse 80 1008383 5,5,5-Restricted SCPHF RE (CL) fuse 85 1025183 5,5-Restricted SCPHF RE (CL) fuse 93 1041983 5-Restricted SCPHF RE (CL) fuse 95 1056389 4-Restricted SCPHF RE (CL) fuse 101 1058447 3-Restricted SCPHF RE (CL) fuse 103 1058741 2-Restricted SCPHF RE (CL) fuse 106 1126025 5,5,5-Restricted SCPHF RE (CL) fuse 116 1142825 5,5-Restricted SCPHF RE (CL) fuse 127 1159625 5-Restricted SCPHF RE (CL) fuse 132 1174031 4-Restricted SCPHF RE (CL) fuse 135 1176089 3-Restricted SCPHF RE (CL) fuse 138 1176383 2-Restricted SCPHF RE (CL) fuse 140 1176425 SCPHF Random Extension (CLS) fuse 193 1294067 SCPHF Random Extension (CLS) fuse 195 1294127 CPHF Random Extension (CLS) fuse 244 1411709 SCPHF Random Extension (CLS) fuse 245 1888349 Add 1 factors 246 2101829 Add 2 factors 247 2526905 Add 3 factors 249 2527986 Add 5 factors 250 2614426 Add 6 factors 251 2828999 Add 7 factors 252 3305639 Add 7 factors 253 3525599 Add 2 factors 254 3655167 Add 5 factors 255 3741607 Add 5 factors 256 3829390 Add 6 factors 257 4043963 Add 6 factors 258 4258931 Add 7 factors 259 4735571 Add 7 factors 260 4868788 Add 5 factors 261 4956571 Add 6 factors 262 5044354 Add 6 factors 263 5060446 Martirosyan-TVT variant 264 5062010 Martirosyan-TVT 265 5079418 Martirosyan-TVT variant 268 5110752 Martirosyan-TVT 269 5116239 Martirosyan-TVT variant 270 5121726 Martirosyan-TVT 271 5123880 Martirosyan-TVT variant 272 5125740 Martirosyan-TVT 273 5129088 Martirosyan-TVT variant 274 5132436 Martirosyan-TVT 275 5135133 Martirosyan-TVT variant 276 5137830 Martirosyan-TVT 277 5140197 Martirosyan-TVT variant 278 5142522 Martirosyan-TVT 279 5145219 Martirosyan-TVT variant 280 5147916 Martirosyan-TVT 305 5176264 perfect hash family4,305,193 307 5176504 perfect hash family4,307,195 337 5529190 perfect hash family4,388,244T51 339 5529250 perfect hash family4,388,244T49 388 5646832 perfect hash family4,388,244 390 5786501 Martirosyan-Colbourn 402 5914373 Martirosyan-Colbourn 410 5915843 Martirosyan-Colbourn 418 5916053 Martirosyan-Colbourn 422 5916293 Martirosyan-Colbourn 460 5964143 Martirosyan-Colbourn 488 5976113 Martirosyan-Colbourn 490 6452753 Martirosyan-Colbourn 492 6666233 Martirosyan-Colbourn 556 7058540 perfect hash family5,556,244 557 7535180 Add 1 factors 558 7794380 Add 2 factors 560 8256615 Add 5 factors 561 8258267 Add 5 factors 628 8352606 perfect hash family6,730,244T51 632 8352666 perfect hash family6,730,244T49 730 8470248 perfect hash family6,730,244 754 8738875 Power N-CT29^2T3 783 8750260 Power N-CT29^2T2 806 8767687 Power N-CT31^2T5 837 8779072 Power N-CT31^2T4 841 8787300 Power N-CT29^2 899 8816112 Power N-CT31^2T2 961 8818170 Power N-CT31^2 962 9294810 Add 1 factors 963 9587670 Add 2 factors 984 9689067 Power N-CT41^2T17 988 9696723 Power N-CT41^2T15T3 1000 9701621 Power N-CT41^2T16T1 1025 9701663 Power N-CT41^2T16 1026 9708108 Power N-CT41^2T14T3 1040 9713481 Power N-CT41^2T15T1 1066 9713523 Power N-CT41^2T15 1080 9724866 Power N-CT41^2T14T1 1107 9724908 Power N-CT41^2T14 1116 9730406 Power N-CT41^2T10T5 1122 9746870 Power N-CT41^2Trin2,3,10 1150 9747164 Power N-CT41^2Trin1,3,10 1178 9747206 Power N-CT41^2T10T3 1189 9761948 Power N-CT41^2T12 1209 9763670 Power N-CT41^2T10T2 1210 9763922 Power N-CT41^2Arc(2)T10 1240 9763964 Power N-CT41^2T10T1 1271 9764006 Power N-CT41^2T10 1296 9814784 Power N-CT41^2T5T5 1302 9831248 Power N-CT41^2Trin2,3,5 1335 9831542 Power N-CT41^2Trin1,3,5 1368 9831584 Power N-CT41^2T5T3 1370 9848006 Power N-CT41^2Trin1,2,5 1404 9848048 Power N-CT41^2T5T2 1405 9848300 Power N-CT41^2Arc(2)T5 1440 9848342 Power N-CT41^2T5T1 1476 9848384 Power N-CT41^2T5 1482 9864848 Power N-CT41^2T3T2 1483 9865100 Power N-CT41^2Arc(2)T3 1520 9865142 Power N-CT41^2T3T1 1558 9865184 Power N-CT41^2T3 1560 9881606 Power N-CT41^2T2T1 1599 9881648 Power N-CT41^2T2 1600 9881900 Power N-CT41^2T1T1 1640 9881942 Power N-CT41^2T1 1681 9881984 Power N-CT41^2 1682 10358624 Add 1 factors 1683 10695044 Add 2 factors 1720 10756088 Power N-CT43^2T3 1763 10756130 Power N-CT43^2T2 1850 10823372 Power N-CT43^2+1 1852 11058572 Power N-CT43^2+3 1861 11159372 Power N-CT47^2Arc(8) 1886 11176130 Power N-CT47^2T6T1 1901 11176172 Power N-CT47^2Arc(7) 1927 11192930 Power N-CT47^2T6 1942 11192972 Power N-CT47^2Arc(6) 1984 11209772 Power N-CT47^2Arc(5) 2027 11226572 Power N-CT47^2Arc(4) 2071 11243372 Power N-CT47^2Arc(3) 2116 11260172 Power N-CT47^2T1T1 2162 11276972 Power N-CT47^2T1 2211 11293772 Power N-CT47^2+2 2244 11475674 Power N-CT53^2T9T2 2245 11477438 Power N-CT53^2Arc(2)T9 2288 11477732 Power N-CT53^2T9T1 2332 11478026 Power N-CT53^2T9 2346 11492474 Power N-CT53^2T7T2 2347 11494238 Power N-CT53^2Arc(2)T7 2392 11494532 Power N-CT53^2T7T1 2438 11494826 Power N-CT53^2T7 2452 11508980 Power N-CT53^2Trin1,2,4 2499 11509274 Power N-CT53^2T4T2 2500 11511038 Power N-CT53^2Arc(2)T4 2548 11511332 Power N-CT53^2T4T1 2597 11511626 Power N-CT53^2T4 2601 11523680 Power N-CT53^2T2T2 2602 11525444 Power N-CT53^2Arc(2)T2 2652 11525738 Power N-CT53^2T2T1 2703 11526032 Power N-CT53^2T2 2704 11527796 Power N-CT53^2T1T1 2756 11528090 Power N-CT53^2T1 2811 11528384 Power N-CT53^2+2 2840 11979292 Power N-CT73^2Trin5,18,18 2870 11993446 Power N-CT73^2T32T3 2914 11993698 Power N-CT73^2Trin3,18,18 2920 11995462 Power N-CT73^2T33 2993 11995504 Power N-CT73^2T32 3025 11995756 Power N-CT73^2T18T18 3080 12046240 Power N-CT73^2T18T17 3212 12062746 Power N-CT73^2T29 3240 12063376 Power N-CT73^2Trin5,10,18 3330 12077782 Power N-CT73^2Trin3,10,18 3358 12079546 Power N-CT73^2T27 3465 12079840 Power N-CT73^2T18T10 3490 12080176 Power N-CT73^2Trin5,5,18 3590 12094582 Power N-CT73^2Trin3,5,18 3740 12096640 Power N-CT73^2T18T5 3850 12111046 Power N-CT73^2T18T3 4015 12113104 Power N-CT73^2T18 4088 12163588 Power N-CT73^2T17 4110 12178666 Power N-CT73^2Trin3,5,10 4234 12180388 Power N-CT73^2T15 4284 12180724 Power N-CT73^2T10T5 4309 12181060 Power N-CT73^2Trin5,5,5 4410 12195130 Power N-CT73^2T10T3 4435 12195466 Power N-CT73^2Trin3,5,5 4599 12197188 Power N-CT73^2T10 4624 12197524 Power N-CT73^2T5T5 4760 12211930 Power N-CT73^2T5T3 4964 12213988 Power N-CT73^2T5 5110 12228394 Power N-CT73^2T3 5331 12230452 Power N-CT73^2+2 5332 12234274 Power N-CT73^2+3 5341 12906232 Power N-CT79^2Trin4,4,4 5412 12906526 Power N-CT79^2Trin3,4,4 5484 12906820 Power N-CT79^2Trin3,3,4 5557 12907114 Power N-CT79^2Trin3,3,3 5625 12973810 Power N-CT79^2T4T4 5700 12974104 Power N-CT79^2T4T3 5776 12974398 Power N-CT79^2T3T3 5925 13041388 Power N-CT79^2T4 6004 13041682 Power N-CT79^2T3 6242 13108966 Power N-CT79^2+1 6308 13243282 Power N-CT83^2T7 6400 13293766 Power N-CT83^2T3T3 6640 13310566 Power N-CT83^2T3 6891 13327366 Power N-CT83^2+2 6901 13495366 Power N-CT89^2Trin4,4,4 7225 13512166 Power N-CT89^2T4T4 7565 13528966 Power N-CT89^2T4 7925 13545766 perfect hash family13,7925,93 8080 13709734 Power N-CT101^2T21 8293 13710406 Power N-CT97^2Trin4,4,4 8471 13724812 Power N-CT97^2Trin2,4,4 8585 13726534 Power N-CT101^2T16 8649 13726870 Power N-CT97^2T4T4 8755 13730062 perfect hash family13,10609,103T18 8835 13741276 Power N-CT97^2T4T2 9393 13743334 Power N-CT101^2T8 9579 13746862 perfect hash family13,10609,103T10 9595 13757740 Power N-CT101^2T6 10000 13759798 Power N-CT101^2

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