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

Last Updated Wed Mar 9 06:22:05 MST 2022

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).

Change t: - Change v: - + or go to Global Menu.

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 352943 CPHF IPO 3 (WCS) fuse 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 25 470591 CPHF IPO 4 (WCS) fuse 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 34 588239 CPHF IPO 5 (WCS) 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 49 705887 CPHF IPO 6 (WCS) 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 67 823535 CPHF IPO 7 (WCS) 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 93 941183 CPHF IPO 8 (WCS) 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 488 5916293 Martirosyan-Colbourn 490 6392933 Martirosyan-Colbourn 492 6606413 Martirosyan-Colbourn 494 7031489 Martirosyan-Colbourn 498 7032570 Martirosyan-Colbourn 556 7058540 perfect hash family5,556,244 575 7529422 Power CT25^2T2 625 7529440 Power CT25^2 626 8006080 Add 1 factors 627 8265280 Add 2 factors 628 8352606 perfect hash family6,730,244T51 632 8352666 perfect hash family6,730,244T49 730 8470248 perfect hash family6,730,244 775 8700882 Power N-CT31^2T6 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-CT31^2 964 8823570 Power N-CT31^2+3 965 9300210 Add 1 factors 992 9411448 Power CT32^2T1 1026 9411808 Power CT32^2+2 1075 9629948 Power N-CT41^2Trin3,7,7 1102 9646412 Power N-CT41^2Trin2,7,7 1129 9646706 Power N-CT41^2Trin1,7,7 1156 9646748 Power N-CT41^2T7T7 1175 9647108 Power N-CT47^2T22 1222 9713913 Power N-CT47^2T21 1269 9725298 Power N-CT47^2T20 1292 9747566 Power N-CT41^2T7T3 1363 9762338 Power N-CT47^2T18 1394 9764366 Power N-CT41^2T7 1457 9764396 Power N-CT47^2T16 1598 9764756 Power N-CT47^2T13 1692 9848774 Power N-CT47^2T11 1786 9865574 Power N-CT47^2T9 1833 9882038 Power N-CT47^2T8 1880 9882332 Power N-CT47^2T7 1927 9882374 Power N-CT47^2T6 2211 9882404 Power N-CT47^2+2 2212 10359044 Add 1 factors 2213 10732184 Add 2 factors 2221 11175674 Power N-CT53^2Trin4,4,4 2311 11290892 Power N-CT53^2Trin2,4,4 2356 11292950 Power N-CT53^2Trin1,4,4 2401 11293244 Power N-CT53^2T4T4 2412 11378198 Power N-CT67^2T31 2546 11394998 Power N-CT67^2T29 2548 11410520 Power N-CT53^2T4T1 2597 11410814 Power N-CT53^2T4 2613 11411462 Power N-CT67^2T28 2695 11411750 Power N-CT59^2T10T4 2747 11411798 Power N-CT67^2T26 3283 11411828 Power N-CT67^2T18 3417 11527046 Power N-CT67^2T16 3484 11529104 Power N-CT67^2T15 3685 11529398 Power N-CT67^2T12 4489 11529476 Power N-CT67^2 4556 12096718 Power N-CT73^2T6T5 4690 12111124 Power N-CT73^2T6T3 4891 12113182 Power N-CT73^2T6 5025 12117340 Power N-CT79^2T12T4 5092 12117634 Power N-CT79^2T12T3 5963 12117718 Power N-CT89^2T22 6052 12218524 Power N-CT89^2T21 6230 12232930 Power N-CT89^2T19 6675 12234988 Power N-CT89^2T14 6764 12235282 Power N-CT89^2T13 7925 12235366 perfect hash family13,7925,93 7926 13070836 Add 1 factors 8293 13408006 Power N-CT97^2Trin4,4,4 8471 13523212 Power N-CT97^2Trin2,4,4 8649 13525270 Power N-CT97^2T4T4 8653 13638418 Power N-CT97^2Trin2,2,4 8835 13640476 Power N-CT97^2T4T2 9393 13642534 Power N-CT101^2T8 9579 13646062 perfect hash family13,10609,103T10 9595 13757740 Power N-CT101^2T6 10000 13759798 Power N-CT101^2

Graph: