Table for CAN(5,k,23) 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,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 6436343 orthogonal array 26 9765621 orthogonal array fuse fuse 28 14348899 orthogonal array fuse fuse fuse fuse 43 19029165 4-Restricted SCPHF RE (CL) 46 19296839 3-Restricted SCPHF RE (CL) 47 19308477 2-Restricted SCPHF RE (CL) 48 19308983 SCPHF Random Extension (CLS) 51 19309027 CPHF IPO 3 (WCS) 72 25185667 4,4-Restricted SCPHF RE (CL) 81 25465485 4-Restricted SCPHF RE (CL) 87 25733159 3-Restricted SCPHF RE (CL) 88 25744797 2-Restricted SCPHF RE (CL) 90 25745303 SCPHF Random Extension (CLS) 107 25745369 CPHF IPO 4 (WCS) 136 31621987 4,4-Restricted SCPHF RE (CL) 155 31901805 4-Restricted SCPHF RE (CL) 171 32169479 3-Restricted SCPHF RE (CL) 175 32181117 2-Restricted SCPHF RE (CL) 178 32181623 SCPHF Random Extension (CLS) 181 32181711 CPHF Random Extension (CLS) 228 37778489 4,4,4-Restricted SCPHF RE (CL) 259 38058307 4,4-Restricted SCPHF RE (CL) 299 38338125 4-Restricted SCPHF RE (CL) 332 38605799 3-Restricted SCPHF RE (CL) 342 38617437 2-Restricted SCPHF RE (CL) 344 38617943 SCPHF Random Extension (CLS) 345 38618053 CPHF Random Extension (CLS) 430 44214809 4,4,4-Restricted SCPHF RE (CL) 493 44494627 4,4-Restricted SCPHF RE (CL) 564 44774445 4-Restricted SCPHF RE (CL) 648 45042119 3-Restricted SCPHF RE (CL) 654 45053757 2-Restricted SCPHF RE (CL) 656 45054263 SCPHF Random Extension (CLS) 785 50651129 4,4,4-Restricted SCPHF RE (CL) 786 74474115 Add 1 factors 787 88637561 Add 2 factors 788 94794063 Add 3 factors 808 100950565 Add 23 factors 810 115154729 Add 25 factors 860 124506429 Martirosyan-TVT 986 124786247 Martirosyan-TVT 1018 125066065 Martirosyan-TVT 1019 125088835 Martirosyan-TVT variant 1058 125111605 Martirosyan-TVT 1106 125901977 Martirosyan-TVT 2116 128726423 perfect hash family20,2116,23,c 2117 128726840 perfect hash family20,2117,24 10000 135162743 perfect hash family21,12167,23,c

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