Table for CAN(3,k,9) 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,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) 366 2905 Restricted CPHF Ext 4( 0, 2) WCS 374 2913 Restricted CPHF Ext 4( 0, 0) WCS 675 3321 Colbourn-Martirosyan-TVT-Walker 676 3328 Cohen-Colbourn-Ling 819 3329 Colbourn-Martirosyan-TVT-Walker 820 3336 Cohen-Colbourn-Ling 843 3537 Restricted CPHF Ext 5( 1, 5) WCS 852 3545 Restricted CPHF Ext 5( 1, 4) WCS 853 3553 Restricted CPHF Ext 5( 1, 3) WCS 864 3561 Restricted CPHF Ext 5( 1, 2) WCS 1063 3609 Restricted CPHF Ext 5( 0, 5) WCS 1086 3617 Restricted CPHF Ext 5( 0, 4) WCS 1102 3625 Restricted CPHF Ext 5( 0, 3) WCS 1107 3633 Restricted CPHF Ext 5( 0, 2) WCS 1138 3641 Restricted CPHF Ext 5( 0, 0) WCS 1380 4041 Restricted CPHF Ext 6( 4, 6) WCS 1389 4049 Restricted CPHF Ext 6( 4, 5) WCS 1718 4113 Restricted CPHF Ext 6( 3, 6) WCS 1739 4121 Restricted CPHF Ext 6( 3, 5) WCS 1761 4129 Restricted CPHF Ext 6( 3, 4) WCS 2083 4185 Restricted CPHF Ext 6( 2, 6) WCS 2098 4193 Restricted CPHF Ext 6( 2, 5) WCS 2126 4201 Restricted CPHF Ext 6( 2, 4) WCS 2148 4209 Restricted CPHF Ext 6( 2, 3) WCS 2436 4257 Restricted CPHF Ext 6( 1, 6) WCS 2446 4265 Restricted CPHF Ext 6( 1, 5) WCS 2467 4273 Restricted CPHF Ext 6( 1, 4) WCS 2510 4281 Restricted CPHF Ext 6( 1, 3) WCS 2527 4289 Restricted CPHF Ext 6( 1, 2) WCS 3249 4329 Restricted CPHF Ext 6( 0, 6) WCS 3279 4337 Restricted CPHF Ext 6( 0, 5) WCS 3314 4345 Restricted CPHF Ext 6( 0, 4) WCS 3344 4353 Restricted CPHF Ext 6( 0, 3) WCS 3364 4361 Restricted CPHF Ext 6( 0, 2) WCS 3430 4369 CPHF IPO 6 (WCS) 3906 4761 Restricted CPHF Ext 7( 4, 7) WCS 4047 4769 Restricted CPHF Ext 7( 4, 6) WCS 4161 4777 Restricted CPHF Ext 7( 4, 5) WCS 4831 4833 Restricted CPHF Ext 7( 3, 7) WCS 4843 4841 Restricted CPHF Ext 7( 3, 6) WCS 4954 4849 Restricted CPHF Ext 7( 3, 5) WCS 5042 4857 Restricted CPHF Ext 7( 3, 4) WCS 5891 4905 Restricted CPHF Ext 7( 2, 7) WCS 6004 4913 Restricted CPHF Ext 7( 2, 6) WCS 6014 4921 Restricted CPHF Ext 7( 2, 5) WCS 6063 4929 Restricted CPHF Ext 7( 2, 4) WCS 6115 4937 Restricted CPHF Ext 7( 2, 3) WCS 6608 4977 Restricted CPHF Ext 7( 1, 7) WCS 6717 4985 Restricted CPHF Ext 7( 1, 6) WCS 6847 4993 Restricted CPHF Ext 7( 1, 5) WCS 6903 5001 Restricted CPHF Ext 7( 1, 4) WCS 7034 5009 Restricted CPHF Ext 7( 1, 3) WCS 7134 5017 Restricted CPHF Ext 7( 1, 2) WCS 8473 5049 Restricted CPHF Ext 7( 0, 7) WCS 8653 5057 Restricted CPHF Ext 7( 0, 6) WCS 8849 5065 Restricted CPHF Ext 7( 0, 5) WCS 8950 5073 Restricted CPHF Ext 7( 0, 4) WCS 9109 5081 Restricted CPHF Ext 7( 0, 3) WCS 9283 5089 Restricted CPHF Ext 7( 0, 2) WCS 10000 5097 CPHF IPO 7 (WCS)

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