Table for CAN(3,k,9) for k up to 10000

Last Updated Fri Nov 15 21:02:44 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;3,k,9) 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 10 729 orthogonal array 11 1175 orthogonal array fuse fuse postop NCK 12 1195 orthogonal array fuse fuse postop NCK 20 1377 Chateauneuf-Kreher doubling 75 1449 SCPHF LFSR (TJ-IM) 91 1457 Raaphorst-Moura-Stevens 92 2105 Add a factor 134 2169 SCPHF Conditional Expectation (CLS) 140 2185 CPHF Sim Annealing (TJ-IM) 162 2673 Path-Restricted SCPHF RE (CLS) 182 2681 Chateauneuf-Kreher doubling 253 2745 Path-Restricted SCPHF RE (CLS) 292 2817 Path-Restricted SCPHF RE (CLS) 364 2889 SCPHF Conditional Expectation (CLS) 373 2913 CPHF Random Extension (CLS) 675 3321 Colbourn-Martirosyan-TVT-Walker 676 3328 Cohen-Colbourn-Ling 819 3329 Colbourn-Martirosyan-TVT-Walker 820 3336 Cohen-Colbourn-Ling 967 3609 SCPHF Conditional Expectation (CLS) 1000 3641 CPHF Random Extension (CLS) 1030 3969 Path-Restricted SCPHF RE (CLS) 1300 4041 Path-Restricted SCPHF RE (CLS) 1436 4113 Path-Restricted SCPHF RE (CLS) 1664 4185 Path-Restricted SCPHF RE (CLS) 1895 4257 Path-Restricted SCPHF RE (CLS) 2633 4329 SCPHF Conditional Expectation (CLS) 2665 4689 Path-Restricted SCPHF RE (CLS) 3182 4761 Path-Restricted SCPHF RE (CLS) 3613 4833 Path-Restricted SCPHF RE (CLS) 4193 4905 Path-Restricted SCPHF RE (CLS) 4726 4977 Path-Restricted SCPHF RE (CLS) 7228 5049 SCPHF Conditional Expectation (CLS) 7381 5216 Cohen-Colbourn-Ling 7937 5481 Path-Restricted SCPHF RE (CLS) 9526 5553 Path-Restricted SCPHF RE (CLS) 10000 5625 Path-Restricted SCPHF RE (CLS)

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