Table for CAN(4,k,7) for k up to 10000

Last Updated Sat Nov 16 04:48:29 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;4,k,7) 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 8 2401 orthogonal array 9 3569 orthogonal array fuse postop NCK 14 4459 3-Restricted SCPHF RE (CL) 17 4753 2-Restricted SCPHF RE (CL) 18 4795 SCPHF Tabu Search (Walker-Colbourn) 30 6853 3-Restricted SCPHF RE (CL) 33 7147 2-Restricted SCPHF RE (CL) 34 7189 SCPHF Random Extension (CLS) 45 8911 3,3-Restricted SCPHF RE (CL) 49 9205 3,2-Restricted SCPHF RE (CL) 52 9247 3-Restricted SCPHF RE (CL) 55 9499 2,2-Restricted SCPHF RE (CL) 56 9541 2-Restricted SCPHF RE (CL) 57 9583 SCPHF Random Extension (CLS) 79 11305 3,3-Restricted SCPHF RE (CL) 84 11599 3,2-Restricted SCPHF RE (CL) 89 11641 3-Restricted SCPHF RE (CL) 99 11893 2,2-Restricted SCPHF RE (CL) 101 12001 CPHF Random Extension (CLS) 119 13363 3,3,3-Restricted SCPHF RE (CL) 134 13699 3,3-Restricted SCPHF RE (CL) 144 13993 3,2-Restricted SCPHF RE (CL) 154 14035 3-Restricted SCPHF RE (CL) 163 14287 2,2-Restricted SCPHF RE (CL) 166 14329 2-Restricted SCPHF RE (CL) 174 14371 SCPHF Conditional Expectation (CLS) 187 15757 3,3,3-Restricted SCPHF RE (CL) 209 16093 3,3-Restricted SCPHF RE (CL) 229 16387 3,2-Restricted SCPHF RE (CL) 243 16429 3-Restricted SCPHF RE (CL) 271 16681 2,2-Restricted SCPHF RE (CL) 276 16723 2-Restricted SCPHF RE (CL) 307 16765 SCPHF Conditional Expectation (CLS) 311 18151 3,3,3-Restricted SCPHF RE (CL) 368 18487 3,3-Restricted SCPHF RE (CL) 392 18781 3,2-Restricted SCPHF RE (CL) 402 18823 3-Restricted SCPHF RE (CL) 459 19075 2,2-Restricted SCPHF RE (CL) 469 19117 2-Restricted SCPHF RE (CL) 479 19159 SCPHF Random Extension (CLS) 481 19201 CPHF Random Extension (CLS) 535 20545 3,3,3-Restricted SCPHF RE (CL) 571 20881 3,3-Restricted SCPHF RE (CL) 662 21175 3,2-Restricted SCPHF RE (CL) 668 21217 3-Restricted SCPHF RE (CL) 751 21469 2,2-Restricted SCPHF RE (CL) 801 21511 2-Restricted SCPHF RE (CL) 818 21553 SCPHF Random Extension (CLS) 825 21601 CPHF Random Extension (CLS) 912 22939 3,3,3-Restricted SCPHF RE (CL) 985 23275 3,3-Restricted SCPHF RE (CL) 1106 23569 3,2-Restricted SCPHF RE (CL) 1124 23611 3-Restricted SCPHF RE (CL) 1182 23863 2,2-Restricted SCPHF RE (CL) 1349 23905 2-Restricted SCPHF RE (CL) 1359 23947 SCPHF Random Extension (CLS) 2036 26341 SCPHF Random Extension (CLS) 2067 26401 CPHF Random Extension (CLS) 2797 28735 SCPHF Random Extension (CLS) 2836 28801 CPHF Random Extension (CLS) 2837 36151 Add a factor 2838 38209 Add a factor 3010 41881 Colbourn-Martirosyan-TVT-Walker 3087 42133 Colbourn-Martirosyan-TVT-Walker 3213 42427 Colbourn-Martirosyan-TVT-Walker 3283 42469 Colbourn-Martirosyan-TVT-Walker 3353 42511 Colbourn-Martirosyan-TVT-Walker 3367 42553 Colbourn-Martirosyan-TVT-Walker 3430 43897 Colbourn-Martirosyan-TVT-Walker 3745 44191 Colbourn-Martirosyan-TVT-Walker 6344 44401 Cyclotomy (Colbourn) 6764 47341 Cyclotomy (Colbourn) 6895 49525 Colbourn-Martirosyan-TVT-Walker 7742 49819 Colbourn-Martirosyan-TVT-Walker 7868 49861 Colbourn-Martirosyan-TVT-Walker 8274 50113 Colbourn-Martirosyan-TVT-Walker 9037 50155 Colbourn-Martirosyan-TVT-Walker 9156 50911 Colbourn-Martirosyan-TVT-Walker 9443 51163 Colbourn-Martirosyan-TVT-Walker 9513 51205 Colbourn-Martirosyan-TVT-Walker 10000 53599 Colbourn-Martirosyan-TVT-Walker

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