Table for CAN(5,k,24) 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,24) 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 6 7962624 Derive from strength 6 7 8665676 Augment OA 8 9036998 Augment OA 9 9421030 Augment OA 26 9765623 orthogonal array fuse 28 14348901 orthogonal array fuse fuse fuse 30 20511139 orthogonal array fuse fuse fuse fuse fuse 32 28629137 orthogonal array fuse fuse fuse fuse fuse fuse fuse 42 28906223 4-Restricted SCPHF RE (CL) fuse 49 29281223 3-Restricted SCPHF RE (CL) fuse 54 29296871 CPHF IPO 3 (WCS) fuse 76 38281223 4,4-Restricted SCPHF RE (CL) fuse 88 38671823 4-Restricted SCPHF RE (CL) fuse 94 39046823 3-Restricted SCPHF RE (CL) fuse 96 39061823 2-Restricted SCPHF RE (CL) fuse 97 39062423 SCPHF Random Extension (CLS) fuse 113 39062495 CPHF IPO 4 (WCS) fuse 147 48046823 4,4-Restricted SCPHF RE (CL) fuse 166 48437423 4-Restricted SCPHF RE (CL) fuse 184 48812423 3-Restricted SCPHF RE (CL) fuse 194 48827423 2-Restricted SCPHF RE (CL) fuse 197 48828023 SCPHF Random Extension (CLS) fuse 249 57421823 4,4,4-Restricted SCPHF RE (CL) fuse 288 57812423 4,4-Restricted SCPHF RE (CL) fuse 332 58203023 4-Restricted SCPHF RE (CL) fuse 386 58578023 3-Restricted SCPHF RE (CL) fuse 391 58593023 2-Restricted SCPHF RE (CL) fuse 406 58593623 SCPHF Random Extension (CLS) fuse 483 67187423 4,4,4-Restricted SCPHF RE (CL) fuse 568 67578023 4,4-Restricted SCPHF RE (CL) fuse 636 67968623 4-Restricted SCPHF RE (CL) fuse 701 68343623 3-Restricted SCPHF RE (CL) fuse 709 68358623 2-Restricted SCPHF RE (CL) fuse 712 68359223 SCPHF Random Extension (CLS) fuse 713 90085391 Add 1 factors 714 106287695 Add 2 factors 715 113918543 Add 3 factors 716 122569994 Add 4 factors 717 123224873 Add 5 factors 726 128318423 Add 25 factors 729 128333423 Add 25 factors 731 128678423 Add 25 factors 734 128694023 Add 25 factors 737 128694623 Add 25 factors 738 150420791 Add 25 factors 739 166623095 Add 25 factors 740 174253943 Add 25 factors 772 177092768 Martirosyan-TVT 782 177107768 Martirosyan-TVT 812 177108368 Martirosyan-TVT 895 185702168 Martirosyan-TVT variant 966 185764614 Martirosyan-TVT 1136 186155214 Martirosyan-TVT 1151 186545814 Martirosyan-TVT variant 1206 186608260 Martirosyan-TVT 1207 186637012 Martirosyan-TVT variant 1250 186665764 Martirosyan-TVT 1272 187382122 Martirosyan-TVT 1300 187757122 Martirosyan-TVT 1302 188103364 Martirosyan-TVT 2500 195312023 perfect hash family20,2500,25,c fuse 2501 195312440 perfect hash family20,2501,26 3750 203275063 Power CT25^3T19 4375 203978115 Power CT25^3T18 5000 204349437 Power CT25^3T17 5625 204733469 Power CT25^3T16 10000 205078062 Power CT23^3

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