Table for CAN(6,k,21) for k up to 10000

Last Updated Sun Nov 22 06:45:17 MST 2009

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,21) 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 85766121 composition 8 104772459 Add a symbol 9 115801137 Add a symbol 10 127990730 Add a symbol 11 141463438 Add a symbol 24 148035885 orthogonal array fuse fuse 26 244140617 orthogonal array fuse fuse fuse fuse 28 387420477 orthogonal array fuse fuse fuse fuse fuse fuse 31 592143483 perfect hash family4,31,23,c fuse fuse 32 688248268 perfect hash family4,35,25S3 48 716316374 Martirosyan-Tran van Trung 49 985819034 Add a factor 50 1091776651 Martirosyan-Tran van Trung 52 1093339119 Martirosyan-Tran van Trung 53 1465823259 Add a factor 54 1480358679 perfect hash family10,54,23,c fuse fuse 55 1480358840 perfect hash family10,55,24 63 1628394545 perfect hash family11,63,23,c fuse fuse 64 1628394724 perfect hash family11,64,24 67 1776430411 perfect hash family12,67,23,c fuse fuse 68 1776430608 perfect hash family12,68,24 69 1924466492 perfect hash family13,69,24 72 2072502376 perfect hash family14,72,24 115 2220538009 perfect hash family15,115,23,c fuse fuse 161 2306304380 Power 23^2T16 184 2325310718 Power 23^2T15 207 2336339396 Power 23^2T14 230 2348528989 Power 23^2T13 253 2362001697 Power 23^2T12 529 2368573875 perfect hash family16,529,23,c fuse fuse 530 2368574144 Power 23^2+1 531 2940907724 Add a factor 532 3523017224 Add a factor 553 3617935660 Power 25^2S3 576 3714040392 Power 25^2T1T1 600 3810145124 Power 25^2T1 625 3906249617 perfect hash family16,625,25,c fuse fuse fuse fuse 626 3906249856 Power 25^2+1 627 4682953756 Add a factor 628 5459657656 Add a factor 651 5768888036 Power 27^2S3 676 5912167896 Power 27^2T1T1 702 6055447756 Power 27^2T1 730 6198727616 Power 27^2+1 731 7074559076 Add a factor 735 7253757453 perfect hash family49,735,23,c fuse fuse 744 7697865051 perfect hash family52,744,23,c fuse fuse 1058 7703738314 Martirosyan-Tran van Trung 1060 7751454383 Martirosyan-Tran van Trung 1062 8621290763 Martirosyan-Tran van Trung 1128 9460148733 Power N47^2T23 1222 9556253465 Power N47^2T21 1316 9699533325 Power N47^2T19 1457 9904256331 Power N47^2T16 1504 10000361116 Power N47^2T15 2210 10028429222 Power N47^2+1 2211 11378170202 Add a factor 2212 12727911182 Add a factor 2213 14077652162 Add a factor 2257 14964596548 Power 49^2S3 2304 15234099208 Power 49^2T1T1 2352 15503601868 Power 49^2T1 2401 15773104528 Power 49^2 2402 17122845508 Add a factor 2511 17403763250 Power 31^3T22T22 5208 17405962982 Power 31^3T24T7 5952 17424969320 Power 31^3T23T7 6696 17435997998 Power 31^3T22T7 7440 17448187591 Power 31^3T21T7 8184 17461660299 Power 31^3T20T7 10000 17468232746 Power 31^3T7T7

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