Table for CAN(5,k,20) 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,20) 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 3200000 Derive from strength 6 7 3542088 Augment OA 8 3724074 Augment OA 9 3912858 Augment OA 10 4107924 Augment OA 11 4308646 Augment OA 12 4514148 Augment OA 13 4723668 Augment OA 14 4935798 Augment OA 15 5150374 Augment OA 16 5365126 Augment OA 17 5578956 Augment OA 18 5789958 Augment OA 19 5996736 Augment OA 20 6197616 Augment OA 24 6436337 orthogonal array fuse fuse fuse 26 9765615 orthogonal array fuse fuse fuse fuse fuse 28 14348893 orthogonal array fuse fuse fuse fuse fuse fuse fuse 29 18371790 Martirosyan-TVT variant 30 18474010 Martirosyan-TVT 32 18817164 Martirosyan-TVT 43 19029159 4-Restricted SCPHF RE (CL) fuse fuse fuse 46 19296833 3-Restricted SCPHF RE (CL) fuse fuse fuse 47 19308471 2-Restricted SCPHF RE (CL) fuse fuse fuse 48 19308977 SCPHF Random Extension (CLS) fuse fuse fuse 51 19309021 CPHF IPO 3 (WCS) fuse fuse fuse 72 25185661 4,4-Restricted SCPHF RE (CL) fuse fuse fuse 81 25465479 4-Restricted SCPHF RE (CL) fuse fuse fuse 87 25733153 3-Restricted SCPHF RE (CL) fuse fuse fuse 88 25744791 2-Restricted SCPHF RE (CL) fuse fuse fuse 90 25745297 SCPHF Random Extension (CLS) fuse fuse fuse 107 25745363 CPHF IPO 4 (WCS) fuse fuse fuse 136 31621981 4,4-Restricted SCPHF RE (CL) fuse fuse fuse 155 31901799 4-Restricted SCPHF RE (CL) fuse fuse fuse 171 32169473 3-Restricted SCPHF RE (CL) fuse fuse fuse 175 32181111 2-Restricted SCPHF RE (CL) fuse fuse fuse 178 32181617 SCPHF Random Extension (CLS) fuse fuse fuse 181 32181705 CPHF Random Extension (CLS) fuse fuse fuse 228 37778483 4,4,4-Restricted SCPHF RE (CL) fuse fuse fuse 259 38058301 4,4-Restricted SCPHF RE (CL) fuse fuse fuse 299 38338119 4-Restricted SCPHF RE (CL) fuse fuse fuse 332 38605793 3-Restricted SCPHF RE (CL) fuse fuse fuse 342 38617431 2-Restricted SCPHF RE (CL) fuse fuse fuse 344 38617937 SCPHF Random Extension (CLS) fuse fuse fuse 345 38618047 CPHF Random Extension (CLS) fuse fuse fuse 430 44214803 4,4,4-Restricted SCPHF RE (CL) fuse fuse fuse 493 44494621 4,4-Restricted SCPHF RE (CL) fuse fuse fuse 564 44774439 4-Restricted SCPHF RE (CL) fuse fuse fuse 648 45042113 3-Restricted SCPHF RE (CL) fuse fuse fuse 654 45053751 2-Restricted SCPHF RE (CL) fuse fuse fuse 656 45054257 SCPHF Random Extension (CLS) fuse fuse fuse 785 50651123 4,4,4-Restricted SCPHF RE (CL) fuse fuse fuse 786 64346323 Add 1 factors 787 72455523 Add 2 factors 788 75495523 Add 3 factors 789 79112858 Add 4 factors 790 79425541 Add 5 factors 792 92628883 Add 23 factors 799 92640521 Add 23 factors 801 92663797 Add 23 factors 804 92675435 Add 23 factors 805 92687073 Add 23 factors 807 92698711 Add 23 factors 808 92815091 Add 23 factors 809 106510291 Add 23 factors 816 111206506 Martirosyan-TVT 817 111236773 Martirosyan-TVT variant 819 111333993 Martirosyan-TVT variant 828 111382603 Martirosyan-TVT 860 111462612 Martirosyan-TVT 864 111742430 Martirosyan-TVT 865 111863422 Martirosyan-TVT variant 867 112009252 Martirosyan-TVT variant 874 112057862 Martirosyan-TVT 912 112137871 Martirosyan-TVT 913 112283202 Martirosyan-TVT variant 915 112429032 Martirosyan-TVT variant 920 112477642 Martirosyan-TVT 960 112557651 Martirosyan-TVT 961 113474762 Martirosyan-TVT variant 986 114495572 Martirosyan-TVT 1001 114775390 Martirosyan-TVT variant 1005 115504540 Martirosyan-TVT variant 1012 115553150 Martirosyan-TVT 1013 115553188 Martirosyan-TVT variant 1018 115601798 Martirosyan-TVT 1019 115622214 Martirosyan-TVT variant 1025 115642630 Martirosyan-TVT variant 1033 115691284 Martirosyan-TVT variant 1037 115739938 Martirosyan-TVT variant 1039 115788592 Martirosyan-TVT variant 1041 115837246 Martirosyan-TVT variant 1057 116372440 Martirosyan-TVT variant 1058 116421094 Martirosyan-TVT 1067 117045529 Martirosyan-TVT variant 1104 117094183 Martirosyan-TVT 1105 117316274 Martirosyan-TVT variant 1106 117462236 Martirosyan-TVT 1107 123992060 Martirosyan-TVT variant 1196 127014051 perfect hash family20,2116,23T10 1288 127226181 perfect hash family20,2116,23T9 1380 127440757 perfect hash family20,2116,23T8 1472 127655509 perfect hash family20,2116,23T7 1564 127869339 perfect hash family20,2116,23T6 1656 128080341 perfect hash family20,2116,23T5 1748 128287119 perfect hash family20,2116,23T4 1840 128487999 perfect hash family20,2116,23T3 2116 128726417 perfect hash family20,2116,23,c fuse fuse fuse 2117 128726720 perfect hash family20,2117,24 2197 130025049 Power CT23^3T10T10T10 2366 130237179 Power CT23^3T10T10T9 2548 130449309 Power CT23^3T10T9T9 2744 130661439 Power CT23^3T9T9T9 2940 130876015 Power CT23^3T9T9T8 2964 131088597 Power CT23^3T11T10T4 3150 131090591 Power CT23^3T9T8T8 3211 131298117 Power CT23^3T10T10T4 3276 131303469 Power CT23^3T10T9T5 3332 131304597 Power CT23^3T9T9T6 3375 131305167 Power CT23^3T8T8T8 3380 131498997 Power CT23^3T10T10T3 3458 131510247 Power CT23^3T10T9T4 3528 131515599 Power CT23^3T9T9T5 3570 131519173 Power CT23^3T9T8T6 3600 131519919 Power CT23^3T8T8T7 3640 131711127 Power CT23^3T10T9T3 3724 131722377 Power CT23^3T9T9T4 3780 131730175 Power CT23^3T9T8T5 3825 131733749 Power CT23^3T8T8T6 3840 131734671 Power CT23^3T8T7T7 3887 131737718 Power CT23^3T10T10 3920 131923257 Power CT23^3T9T9T3 3990 131936953 Power CT23^3T9T8T4 4050 131944751 Power CT23^3T8T8T5 4080 131948501 Power CT23^3T8T7T6 4096 131949423 Power CT23^3T7T7T7 4186 131949848 Power CT23^3T10T9 4200 132137833 Power CT23^3T9T8T3 4275 132151529 Power CT23^3T8T8T4 4284 132158757 Power CT23^3T9T6T5 4320 132159503 Power CT23^3T8T7T5 4508 132161978 Power CT23^3T9T9 4522 132365535 Power CT23^3T9T6T4 4560 132366281 Power CT23^3T8T7T4 4590 132373333 Power CT23^3T8T6T5 4608 132374255 Power CT23^3T7T7T5 4830 132376554 Power CT23^3T9T8 4845 132580111 Power CT23^3T8T6T4 4864 132581033 Power CT23^3T7T7T4 4896 132588085 Power CT23^3T7T6T5 4913 132590913 Power CT23^3T6T6T6 5175 132591130 Power CT23^3T8T8 5184 132799087 Power CT23^3T7T5T5 5244 132801266 Power CT23^3T11T4 5382 132804008 Power CT23^3T10T5 5474 132805136 Power CT23^3T9T6 5520 132805882 Power CT23^3T8T7 5681 133010786 Power CT23^3T10T4 5796 133016138 Power CT23^3T9T5 5865 133019712 Power CT23^3T8T6 5888 133020634 Power CT23^3T7T7 5980 133211666 Power CT23^3T10T3 6118 133222916 Power CT23^3T9T4 6210 133230714 Power CT23^3T8T5 6256 133234464 Power CT23^3T7T6 6348 133240867 Power CT23^3T11 6440 133423796 Power CT23^3T9T3 6555 133437492 Power CT23^3T8T4 6624 133445466 Power CT23^3T7T5 6647 133448294 Power CT23^3T6T6 6877 133450387 Power CT23^3T10 6900 133638372 Power CT23^3T8T3 6992 133652244 Power CT23^3T7T4 7038 133659296 Power CT23^3T6T5 7406 133662517 Power CT23^3T9 7429 133866074 Power CT23^3T6T4 7452 133870298 Power CT23^3T5T5 7935 133877093 Power CT23^3T8 8464 134091845 Power CT23^3T7 8993 134305675 Power CT23^3T6 9522 134516677 Power CT23^3T5 10000 134723455 Power CT23^3T4

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