Table for CAN(5,k,25) for k up to 10000

Last Updated Tue Mar 8 20:11:31 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;5,k,25) 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 26 9765625 orthogonal array 28 14348903 orthogonal array fuse fuse 30 20511141 orthogonal array fuse fuse fuse fuse 32 28629139 orthogonal array fuse fuse fuse fuse fuse fuse 42 28906225 4-Restricted SCPHF RE (CL) 49 29281225 3-Restricted SCPHF RE (CL) 54 29296873 CPHF IPO 3 (WCS) 76 38281225 4,4-Restricted SCPHF RE (CL) 88 38671825 4-Restricted SCPHF RE (CL) 94 39046825 3-Restricted SCPHF RE (CL) 96 39061825 2-Restricted SCPHF RE (CL) 97 39062425 SCPHF Random Extension (CLS) 113 39062497 CPHF IPO 4 (WCS) 147 48046825 4,4-Restricted SCPHF RE (CL) 166 48437425 4-Restricted SCPHF RE (CL) 184 48812425 3-Restricted SCPHF RE (CL) 194 48827425 2-Restricted SCPHF RE (CL) 197 48828025 SCPHF Random Extension (CLS) 249 57421825 4,4,4-Restricted SCPHF RE (CL) 288 57812425 4,4-Restricted SCPHF RE (CL) 332 58203025 4-Restricted SCPHF RE (CL) 386 58578025 3-Restricted SCPHF RE (CL) 391 58593025 2-Restricted SCPHF RE (CL) 406 58593625 SCPHF Random Extension (CLS) 483 67187425 4,4,4-Restricted SCPHF RE (CL) 568 67578025 4,4-Restricted SCPHF RE (CL) 636 67968625 4-Restricted SCPHF RE (CL) 701 68343625 3-Restricted SCPHF RE (CL) 709 68358625 2-Restricted SCPHF RE (CL) 712 68359225 SCPHF Random Extension (CLS) 713 91975825 Add 1 factors 714 111445825 Add 2 factors 715 120820825 Add 3 factors 726 129804625 Add 25 factors 727 130164625 Add 25 factors 731 130179625 Add 25 factors 734 130195225 Add 25 factors 737 130195825 Add 25 factors 738 153812425 Add 25 factors 739 173282425 Add 25 factors 772 180814275 Martirosyan-TVT 782 180829275 Martirosyan-TVT 812 180829875 Martirosyan-TVT 966 189423675 Martirosyan-TVT 1136 189814275 Martirosyan-TVT 1206 190204875 Martirosyan-TVT 1207 190234275 Martirosyan-TVT variant 1250 190263675 Martirosyan-TVT 1272 191372475 Martirosyan-TVT 1302 191747475 Martirosyan-TVT 2500 195312025 perfect hash family20,2500,25,c 2501 195312480 perfect hash family20,2501,26 10000 205078104 Power CT23^3

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