Table for CAN(4,k,9) 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,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 6561 orthogonal array 11 12312 extended OA (Colbourn) 17 12393 3-Restricted SCPHF RE (CL) 21 13041 2-Restricted SCPHF RE (CL) 22 13113 SCPHF Random Extension (CLS) 37 18945 3-Restricted SCPHF RE (CL) 41 19593 2-Restricted SCPHF RE (CL) 43 19665 SCPHF Random Extension (CLS) 60 24777 3,3-Restricted SCPHF RE (CL) 66 25425 3,2-Restricted SCPHF RE (CL) 70 25497 3-Restricted SCPHF RE (CL) 75 26073 2,2-Restricted SCPHF RE (CL) 76 26145 2-Restricted SCPHF RE (CL) 78 26217 SCPHF Random Extension (CLS) 79 26241 CPHF Random Extension (CLS) 81 30537 Colbourn-Martirosyan-TVT-Walker 114 31329 3,3-Restricted SCPHF RE (CL) 119 31977 3,2-Restricted SCPHF RE (CL) 133 32049 3-Restricted SCPHF RE (CL) 142 32625 2,2-Restricted SCPHF RE (CL) 144 32697 2-Restricted SCPHF RE (CL) 147 32769 SCPHF Random Extension (CLS) 148 32801 CPHF Random Extension (CLS) 183 37161 3,3,3-Restricted SCPHF RE (CL) 189 37881 3,3-Restricted SCPHF RE (CL) 218 38529 3,2-Restricted SCPHF RE (CL) 224 38601 3-Restricted SCPHF RE (CL) 259 39177 2,2-Restricted SCPHF RE (CL) 276 39249 2-Restricted SCPHF RE (CL) 311 43713 3,3,3-Restricted SCPHF RE (CL) 356 44433 3,3-Restricted SCPHF RE (CL) 400 45081 3,2-Restricted SCPHF RE (CL) 409 45153 3-Restricted SCPHF RE (CL) 472 45729 2,2-Restricted SCPHF RE (CL) 480 45801 2-Restricted SCPHF RE (CL) 495 45873 SCPHF Random Extension (CLS) 496 45921 CPHF Random Extension (CLS) 563 50265 3,3,3-Restricted SCPHF RE (CL) 626 50985 3,3-Restricted SCPHF RE (CL) 712 51633 3,2-Restricted SCPHF RE (CL) 731 51705 3-Restricted SCPHF RE (CL) 835 52281 2,2-Restricted SCPHF RE (CL) 879 52353 2-Restricted SCPHF RE (CL) 909 52425 SCPHF Random Extension (CLS) 919 52481 CPHF Random Extension (CLS) 1046 56817 3,3,3-Restricted SCPHF RE (CL) 1160 57537 3,3-Restricted SCPHF RE (CL) 1316 58185 3,2-Restricted SCPHF RE (CL) 1349 58257 3-Restricted SCPHF RE (CL) 1412 58833 2,2-Restricted SCPHF RE (CL) 1526 58905 2-Restricted SCPHF RE (CL) 1561 58977 SCPHF Random Extension (CLS) 1621 59041 CPHF Random Extension (CLS) 2591 65529 SCPHF Random Extension (CLS) 2633 65601 CPHF Random Extension (CLS) 2634 86481 Add a factor 2635 92313 Add a factor 2799 101817 Colbourn-Martirosyan-TVT-Walker 3204 102537 Colbourn-Martirosyan-TVT-Walker 3276 103185 Colbourn-Martirosyan-TVT-Walker 3357 103377 Colbourn-Martirosyan-TVT-Walker 3600 106641 Colbourn-Martirosyan-TVT-Walker 3681 106713 Colbourn-Martirosyan-TVT-Walker 4248 107289 Colbourn-Martirosyan-TVT-Walker 4320 107361 Colbourn-Martirosyan-TVT-Walker 4455 107433 Colbourn-Martirosyan-TVT-Walker 4464 107481 Colbourn-Martirosyan-TVT-Walker 5067 111825 Colbourn-Martirosyan-TVT-Walker 5634 112545 Colbourn-Martirosyan-TVT-Walker 6075 113193 Colbourn-Martirosyan-TVT-Walker 6084 113249 Colbourn-Martirosyan-TVT-Walker 6408 113257 Colbourn-Martirosyan-TVT-Walker 6561 113329 Colbourn-Martirosyan-TVT-Walker 6579 115921 Colbourn-Martirosyan-TVT-Walker 7371 116497 Colbourn-Martirosyan-TVT-Walker 7380 116553 Colbourn-Martirosyan-TVT-Walker 7515 118737 Colbourn-Martirosyan-TVT-Walker 7911 118809 Colbourn-Martirosyan-TVT-Walker 8181 118881 Colbourn-Martirosyan-TVT-Walker 8271 118937 Colbourn-Martirosyan-TVT-Walker 8703 123273 Colbourn-Martirosyan-TVT-Walker 9000 123529 Colbourn-Martirosyan-TVT-Walker 9270 126153 Colbourn-Martirosyan-TVT-Walker 9414 126729 Colbourn-Martirosyan-TVT-Walker 9477 127449 Colbourn-Martirosyan-TVT-Walker 10000 128097 Colbourn-Martirosyan-TVT-Walker

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