Table for CAN(6,k,7) 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,7) 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 8 117649 orthogonal array 9 190715 orthogonal array fuse postop NCK 11 218491 5-Restricted SCPHF RE (CL) 13 232897 4-Restricted SCPHF RE (CL) 15 336133 5-Restricted SCPHF RE (CL) 17 350539 4-Restricted SCPHF RE (CL) 20 436975 5,5-Restricted SCPHF RE (CL) 21 453775 5-Restricted SCPHF RE (CL) 22 468181 4-Restricted SCPHF RE (CL) 23 470575 SCPHF Random Extension (CLS) 27 554617 5,5-Restricted SCPHF RE (CL) 29 585823 4-Restricted SCPHF RE (CL) 31 587881 3-Restricted SCPHF RE (CL) 33 655459 5,5,5-Restricted SCPHF RE (CL) 36 672259 5,5-Restricted SCPHF RE (CL) 38 689059 5-Restricted SCPHF RE (CL) 39 705523 3-Restricted SCPHF RE (CL) 40 705817 2-Restricted SCPHF RE (CL) 41 705859 SCPHF Random Extension (CLS) 44 773101 5,5,5-Restricted SCPHF RE (CL) 46 789901 5,5-Restricted SCPHF RE (CL) 49 806701 5-Restricted SCPHF RE (CL) 51 821107 4-Restricted SCPHF RE (CL) 52 823165 3-Restricted SCPHF RE (CL) 55 823459 2-Restricted SCPHF RE (CL) 56 873943 5+-Restricted SCPHF RE (CL) 58 890743 5,5,5-Restricted SCPHF RE (CL) 63 907543 5,5-Restricted SCPHF RE (CL) 68 924343 5-Restricted SCPHF RE (CL) 70 938749 4-Restricted SCPHF RE (CL) 75 940807 3-Restricted SCPHF RE (CL) 76 941101 2-Restricted SCPHF RE (CL) 80 1008385 5,5,5-Restricted SCPHF RE (CL) 85 1025185 5,5-Restricted SCPHF RE (CL) 93 1041985 5-Restricted SCPHF RE (CL) 95 1056391 4-Restricted SCPHF RE (CL) 101 1058449 3-Restricted SCPHF RE (CL) 103 1058743 2-Restricted SCPHF RE (CL) 106 1126027 5,5,5-Restricted SCPHF RE (CL) 116 1142827 5,5-Restricted SCPHF RE (CL) 127 1159627 5-Restricted SCPHF RE (CL) 132 1174033 4-Restricted SCPHF RE (CL) 135 1176091 3-Restricted SCPHF RE (CL) 138 1176385 2-Restricted SCPHF RE (CL) 140 1176427 SCPHF Random Extension (CLS) 193 1294069 SCPHF Random Extension (CLS) 195 1294129 CPHF Random Extension (CLS) 244 1411711 SCPHF Random Extension (CLS) 245 2101729 Add 1 factors 246 2548315 Add 2 factors 247 2822029 Add 3 factors 248 2922871 Add 4 factors 251 3023713 Add 7 factors 252 3724315 Add 7 factors 253 4170901 Add 7 factors 254 4444615 Add 7 factors 255 4545457 Add 7 factors 258 4646299 Add 7 factors 305 5176272 perfect hash family4,305,193 307 5176512 perfect hash family4,307,195 337 5529198 perfect hash family4,388,244T51 339 5529258 perfect hash family4,388,244T49 388 5646840 perfect hash family4,388,244 389 6435642 Add 1 factors 429 6470340 perfect hash family5,429,193 431 6470640 perfect hash family5,431,195 432 6588222 perfect hash family5,440,196S4 434 6705804 perfect hash family5,440,196S3 436 6823386 perfect hash family5,440,196S2 460 6940908 perfect hash family5,550,238T45 464 6940968 perfect hash family5,550,238T43 556 7058550 perfect hash family5,556,244 557 7935552 Add 1 factors 628 8352618 perfect hash family6,730,244T51 632 8352678 perfect hash family6,730,244T49 730 8470260 perfect hash family6,730,244 783 8756124 Power N-CT29^2T2 837 8784936 Power N-CT31^2T4 841 8787330 Power N-CT29^2 899 8816142 Power N-CT31^2T2 961 8818200 Power N-CT31^2 986 9696834 Power N-CT41^2Trin5,5,10 1000 9713592 Power N-CT41^2Trin1,8,10 1038 9713634 Power N-CT41^2Trin3,5,10 1044 9728376 Power N-CT41^2T12T5 1064 9730098 Power N-CT41^2Trin2,5,10 1090 9730392 Power N-CT41^2Trin1,5,10 1116 9730434 Power N-CT41^2T10T5 1122 9746898 Power N-CT41^2Trin2,3,10 1150 9747192 Power N-CT41^2Trin1,3,10 1178 9747234 Power N-CT41^2T10T3 1189 9761976 Power N-CT41^2T12 1209 9763698 Power N-CT41^2T10T2 1210 9763950 Power N-CT41^2Arc(2)T10 1240 9763992 Power N-CT41^2T10T1 1271 9764034 Power N-CT41^2T10 1296 9814812 Power N-CT41^2T5T5 1302 9831276 Power N-CT41^2Trin2,3,5 1335 9831570 Power N-CT41^2Trin1,3,5 1368 9831612 Power N-CT41^2T5T3 1370 9848034 Power N-CT41^2Trin1,2,5 1404 9848076 Power N-CT41^2T5T2 1405 9848328 Power N-CT41^2Arc(2)T5 1440 9848370 Power N-CT41^2T5T1 1476 9848412 Power N-CT41^2T5 1482 9864876 Power N-CT41^2T3T2 1483 9865128 Power N-CT41^2Arc(2)T3 1520 9865170 Power N-CT41^2T3T1 1558 9865212 Power N-CT41^2T3 1560 9881634 Power N-CT41^2T2T1 1599 9881676 Power N-CT41^2T2 1600 9881928 Power N-CT41^2T1T1 1640 9881970 Power N-CT41^2T1 1681 9882012 Power N-CT41^2 1720 10756116 Power N-CT43^2T3 1763 10756158 Power N-CT43^2T2 1850 10823400 Power N-CT43^2+1 1852 11058600 Power N-CT43^2+3 1861 11159400 Power N-CT47^2Arc(8) 1886 11176158 Power N-CT47^2T6T1 1901 11176200 Power N-CT47^2Arc(7) 1927 11192958 Power N-CT47^2T6 1942 11193000 Power N-CT47^2Arc(6) 1984 11209800 Power N-CT47^2Arc(5) 2027 11226600 Power N-CT47^2Arc(4) 2071 11243400 Power N-CT47^2Arc(3) 2116 11260200 Power N-CT47^2T1T1 2162 11277000 Power N-CT47^2T1 2211 11293800 Power N-CT47^2+2 2244 11475702 Power N-CT53^2T9T2 2245 11477466 Power N-CT53^2Arc(2)T9 2288 11477760 Power N-CT53^2T9T1 2332 11478054 Power N-CT53^2T9 2346 11492502 Power N-CT53^2T7T2 2347 11494266 Power N-CT53^2Arc(2)T7 2392 11494560 Power N-CT53^2T7T1 2438 11494854 Power N-CT53^2T7 2452 11509008 Power N-CT53^2Trin1,2,4 2499 11509302 Power N-CT53^2T4T2 2500 11511066 Power N-CT53^2Arc(2)T4 2548 11511360 Power N-CT53^2T4T1 2597 11511654 Power N-CT53^2T4 2601 11523708 Power N-CT53^2T2T2 2602 11525472 Power N-CT53^2Arc(2)T2 2652 11525766 Power N-CT53^2T2T1 2703 11526060 Power N-CT53^2T2 2704 11527824 Power N-CT53^2T1T1 2756 11528118 Power N-CT53^2T1 2811 11528412 Power N-CT53^2+2 2840 11979318 Power N-CT73^2Trin5,18,18 2870 11993472 Power N-CT73^2T32T3 2914 11993724 Power N-CT73^2Trin3,18,18 2920 11995488 Power N-CT73^2T33 2993 11995530 Power N-CT73^2T32 3025 11995782 Power N-CT73^2T18T18 3080 12046266 Power N-CT73^2T18T17 3212 12062772 Power N-CT73^2T29 3240 12063402 Power N-CT73^2Trin5,10,18 3330 12077808 Power N-CT73^2Trin3,10,18 3358 12079572 Power N-CT73^2T27 3465 12079866 Power N-CT73^2T18T10 3490 12080202 Power N-CT73^2Trin5,5,18 3590 12094608 Power N-CT73^2Trin3,5,18 3740 12096666 Power N-CT73^2T18T5 3850 12111072 Power N-CT73^2T18T3 4015 12113130 Power N-CT73^2T18 4088 12163614 Power N-CT73^2T17 4110 12178692 Power N-CT73^2Trin3,5,10 4234 12180414 Power N-CT73^2T15 4284 12180750 Power N-CT73^2T10T5 4309 12181086 Power N-CT73^2Trin5,5,5 4410 12195156 Power N-CT73^2T10T3 4435 12195492 Power N-CT73^2Trin3,5,5 4599 12197214 Power N-CT73^2T10 4624 12197550 Power N-CT73^2T5T5 4760 12211956 Power N-CT73^2T5T3 4964 12214014 Power N-CT73^2T5 5110 12228420 Power N-CT73^2T3 5331 12230478 Power N-CT73^2+2 5332 12234300 Power N-CT73^2+3 5341 12906258 Power N-CT79^2Trin4,4,4 5412 12906552 Power N-CT79^2Trin3,4,4 5484 12906846 Power N-CT79^2Trin3,3,4 5557 12907140 Power N-CT79^2Trin3,3,3 5625 12973836 Power N-CT79^2T4T4 5700 12974130 Power N-CT79^2T4T3 5776 12974424 Power N-CT79^2T3T3 5925 13041414 Power N-CT79^2T4 6004 13041708 Power N-CT79^2T3 6242 13108992 Power N-CT79^2+1 6308 13243308 Power N-CT83^2T7 6400 13293792 Power N-CT83^2T3T3 6640 13310592 Power N-CT83^2T3 6891 13327392 Power N-CT83^2+2 6901 13495392 Power N-CT89^2Trin4,4,4 7225 13512192 Power N-CT89^2T4T4 7565 13528992 Power N-CT89^2T4 7925 13545792 perfect hash family13,7925,93 8080 13709760 Power N-CT101^2T21 8293 13710432 Power N-CT97^2Trin4,4,4 8471 13724838 Power N-CT97^2Trin2,4,4 8585 13726560 Power N-CT101^2T16 8649 13726896 Power N-CT97^2T4T4 8755 13730088 perfect hash family13,10609,103T18 8835 13741302 Power N-CT97^2T4T2 9393 13743360 Power N-CT101^2T8 9579 13746888 perfect hash family13,10609,103T10 9595 13757766 Power N-CT101^2T6 10000 13759824 Power N-CT101^2

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