Table for CAN(3,k,21) 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,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 6 9261 orthogonal array (Ji-Yin) 7 11253 orthogonal array fuse fuse postop NCK 8 11471 orthogonal array fuse fuse postop NCK 9 11720 orthogonal array fuse fuse postop NCK 10 11766 orthogonal array fuse fuse postop NCK 11 11841 orthogonal array fuse fuse postop NCK 12 11889 orthogonal array fuse fuse postop NCK 13 11929 orthogonal array fuse fuse postop NCK 14 11975 orthogonal array fuse fuse postop NCK 15 11990 orthogonal array fuse fuse postop NCK 16 12030 orthogonal array fuse fuse postop NCK 17 12047 orthogonal array fuse fuse postop NCK 18 12057 orthogonal array fuse fuse postop NCK 19 12069 orthogonal array fuse fuse postop NCK 20 12081 orthogonal array fuse fuse postop NCK 21 12091 orthogonal array fuse fuse postop NCK 22 12098 orthogonal array fuse fuse postop NCK 23 12117 orthogonal array fuse fuse postop NCK 24 12140 orthogonal array fuse fuse postop NCK 25 15392 orthogonal array fuse fuse fuse fuse postop NCK 26 15436 orthogonal array fuse fuse fuse fuse postop NCK 27 19052 orthogonal array fuse fuse fuse fuse fuse fuse postop NCK 28 19112 orthogonal array fuse fuse fuse fuse fuse fuse postop NCK 30 22210 Chateauneuf-Kreher doubling 32 22270 Chateauneuf-Kreher doubling 34 22307 Chateauneuf-Kreher doubling 36 22337 Chateauneuf-Kreher doubling 38 22369 Chateauneuf-Kreher doubling 40 22381 Chateauneuf-Kreher doubling 42 22411 Chateauneuf-Kreher doubling 44 22438 Chateauneuf-Kreher doubling 46 22457 Chateauneuf-Kreher doubling 48 22500 Chateauneuf-Kreher doubling 509 24307 SCPHF LFSR (TJ-IM) fuse fuse 553 24329 Raaphorst-Moura-Stevens fuse fuse 603 31217 SCPHF LFSR (TJ-IM) fuse fuse fuse fuse 651 31241 Raaphorst-Moura-Stevens fuse fuse fuse fuse 705 39327 SCPHF LFSR (TJ-IM) fuse fuse fuse fuse fuse fuse 757 39353 Raaphorst-Moura-Stevens fuse fuse fuse fuse fuse fuse 768 43827 Chateauneuf-Kreher doubling 864 43847 Chateauneuf-Kreher doubling 960 43867 Chateauneuf-Kreher doubling 1018 43887 Chateauneuf-Kreher doubling 1056 43909 Chateauneuf-Kreher doubling 1104 43929 Chateauneuf-Kreher doubling 1106 43949 Chateauneuf-Kreher doubling 1402 47583 Restricted CPHF Ext 4( 2, 4) WCS fuse fuse 1404 47605 Restricted CPHF Ext 4( 2, 3) WCS fuse fuse 2270 47670 Cyclotomy (Colbourn) 2312 48531 Cyclotomy (Colbourn) 2492 48595 Restricted CPHF Ext 4( 0, 4) WCS fuse fuse 2516 48617 Restricted CPHF Ext 4( 0, 3) WCS fuse fuse 2534 48639 Restricted CPHF Ext 4( 0, 2) WCS fuse fuse 2542 48661 Restricted CPHF Ext 4( 0, 0) WCS fuse fuse 2772 52706 Cohen-Colbourn-Ling 3048 52726 Cohen-Colbourn-Ling 3054 52746 Cohen-Colbourn-Ling 3312 52768 Cohen-Colbourn-Ling 3318 52808 Cohen-Colbourn-Ling 3563 56808 Cohen-Colbourn-Ling 3871 56830 Cohen-Colbourn-Ling 4072 58040 Cohen-Colbourn-Ling 4416 58062 Cohen-Colbourn-Ling 4581 58289 Cohen-Colbourn-Ling 4968 58311 Cohen-Colbourn-Ling 5090 58335 Cohen-Colbourn-Ling 5520 58357 Cohen-Colbourn-Ling 5599 58410 Cohen-Colbourn-Ling 6072 58432 Cohen-Colbourn-Ling 6108 58458 Cohen-Colbourn-Ling 6624 58480 Cohen-Colbourn-Ling 7176 58520 Cohen-Colbourn-Ling 7635 58559 Cohen-Colbourn-Ling 7728 58566 Cohen-Colbourn-Ling 8280 58581 Cohen-Colbourn-Ling 8653 58616 Cohen-Colbourn-Ling 8832 58621 Cohen-Colbourn-Ling 9162 58626 Cohen-Colbourn-Ling 9671 58638 Cohen-Colbourn-Ling 9936 58648 Cohen-Colbourn-Ling 10000 58650 Cohen-Colbourn-Ling

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