Table for CAN(3,k,18) for k up to 10000

Last Updated Sun Jun 26 08:57:56 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;3,k,18) 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 4 5832 Derive from strength 4 5 5994 Li-Ji-Yin 6 6156 Ji-Yin 11 6579 ordered design (CCL) 12 6797 orthogonal array fuse postop NCK 13 6830 orthogonal array fuse postop NCK 15 6831 orthogonal array fuse postop NCK 16 6833 orthogonal array fuse postop NCK 20 6856 orthogonal array fuse postop NCK 21 11500 orthogonal array fuse fuse fuse fuse fuse postop NCK 22 11533 orthogonal array fuse fuse fuse fuse fuse postop NCK 23 11594 orthogonal array fuse fuse fuse fuse fuse postop NCK 24 11647 orthogonal array fuse fuse fuse fuse fuse postop NCK 26 12780 Chateauneuf-Kreher doubling 28 12866 Chateauneuf-Kreher doubling 30 12883 Chateauneuf-Kreher doubling 32 12885 Chateauneuf-Kreher doubling 34 12908 Chateauneuf-Kreher doubling 40 12925 Chateauneuf-Kreher doubling 345 13697 SCPHF LFSR (TJ-IM) fuse 381 13715 Raaphorst-Moura-Stevens fuse 382 19223 Add a factor 383 19545 perfect hash family2,760,381T377 384 19707 perfect hash family2,760,381T376 385 19869 perfect hash family2,760,381T375 400 20189 Cohen-Colbourn-Ling 405 20573 CPHF Random Extension (CLS) fuse 1298 23364 Cyclotomy (Colbourn) 1651 27377 Restricted CPHF Ext 4( 0, 4) WCS fuse 1674 27395 Restricted CPHF Ext 4( 0, 3) WCS fuse 1705 27413 Restricted CPHF Ext 4( 0, 2) WCS fuse 1709 27431 Restricted CPHF Ext 4( 0, 0) WCS fuse 1725 31317 Cohen-Colbourn-Ling 1905 31335 Cohen-Colbourn-Ling 2070 31479 Cohen-Colbourn-Ling 2286 31497 Cohen-Colbourn-Ling 2415 32016 Cohen-Colbourn-Ling 2667 32034 Cohen-Colbourn-Ling 2700 32578 Cohen-Colbourn-Ling 3795 32586 Cohen-Colbourn-Ling 4180 32604 Cohen-Colbourn-Ling 4560 32822 Cohen-Colbourn-Ling 5175 32838 Cohen-Colbourn-Ling 5520 32840 Cohen-Colbourn-Ling 6555 32849 Colbourn-Martirosyan-TVT-Walker 6556 32866 Cohen-Colbourn-Ling fuse 7239 32867 Colbourn-Martirosyan-TVT-Walker 7540 33166 Cohen-Colbourn-Ling 7620 33185 Cohen-Colbourn-Ling 8001 38209 Cohen-Colbourn-Ling 8463 39347 Restricted CPHF Ext 6( 5, 6) WCS fuse 10000 39689 Restricted CPHF Ext 6( 4, 6) WCS fuse

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