Table for CAN(4,k,23) for k up to 10000

Last Updated Tue Mar 8 09:01:41 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;4,k,23) 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 24 279841 orthogonal array 26 390621 orthogonal array fuse fuse 28 531433 orthogonal array fuse fuse fuse fuse 30 547515 3-Restricted SCPHF RE (CL) 39 559153 2-Restricted SCPHF RE (CL) 41 780621 2-Restricted SCPHF RE (CL) fuse fuse 42 781221 SCPHF Random Extension (CLS) fuse fuse 46 815167 Colbourn-Martirosyan-TVT-Walker 48 826805 Colbourn-Martirosyan-TVT-Walker 86 827333 3-Restricted SCPHF RE (CL) 98 838971 2-Restricted SCPHF RE (CL) 107 839521 CPHF IPO 3 (WCS) 170 1095007 3,3-Restricted SCPHF RE (CL) 203 1106645 3,2-Restricted SCPHF RE (CL) 204 1107151 3-Restricted SCPHF RE (CL) 238 1118283 2,2-Restricted SCPHF RE (CL) 242 1118789 2-Restricted SCPHF RE (CL) 247 1119295 SCPHF Random Extension (CLS) 302 1119361 CPHF IPO 4 (WCS) 529 1362175 Colbourn-Martirosyan-TVT-Walker 593 1398101 2,2-Restricted SCPHF RE (CL) 610 1398607 2-Restricted SCPHF RE (CL) 619 1399113 SCPHF Random Extension (CLS) 658 1399201 CPHF IPO 5 (WCS) 895 1642499 3,3,3-Restricted SCPHF RE (CL) 1039 1654643 3,3-Restricted SCPHF RE (CL) 1231 1666281 3,2-Restricted SCPHF RE (CL) 1247 1666787 3-Restricted SCPHF RE (CL) 1305 1677919 2,2-Restricted SCPHF RE (CL) 1380 1678425 2-Restricted SCPHF RE (CL) 1421 1678931 SCPHF Random Extension (CLS) 1461 1679041 CPHF Random Extension (CLS) 2723 1958749 SCPHF Random Extension (CLS) 2806 1958881 CPHF Random Extension (CLS) 3910 2700545 Colbourn-Martirosyan-TVT-Walker 4669 2712183 Colbourn-Martirosyan-TVT-Walker 4692 2712689 Colbourn-Martirosyan-TVT-Walker 5474 2723821 Colbourn-Martirosyan-TVT-Walker 5566 2724327 Colbourn-Martirosyan-TVT-Walker 5681 2724833 Colbourn-Martirosyan-TVT-Walker 6946 2724899 Colbourn-Martirosyan-TVT-Walker 7248 2870188 Colbourn-Martirosyan-TVT-Walker 10000 2967713 Colbourn-Martirosyan-TVT-Walker

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