Table for CAN(5,k,19) for k up to 10000

Last Updated Tue Jan 31 05:19:54 MST 2012

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,19) 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 20 2476099 orthogonal array 21 4815018 extended OA (Colbourn) 40 5823291 Martirosyan-Tran van Trung 41 10391385 Add a factor 42 10758066 Martirosyan-Tran van Trung 48 12244511 Martirosyan-Tran van Trung 50 12732641 Martirosyan-Tran van Trung 52 12738189 Martirosyan-Tran van Trung 54 12746511 Martirosyan-Tran van Trung 56 12752059 Martirosyan-Tran van Trung 58 12926821 Martirosyan-Tran van Trung 60 12932369 Martirosyan-Tran van Trung 62 12937917 Martirosyan-Tran van Trung 64 12940691 Martirosyan-Tran van Trung 66 13107131 Martirosyan-Tran van Trung 68 13109905 Martirosyan-Tran van Trung 70 13115453 Martirosyan-Tran van Trung 72 13129323 Martirosyan-Tran van Trung 78 13170933 Martirosyan-Tran van Trung 80 14561181 Martirosyan-Tran van Trung 81 21351591 Add a factor 82 21468879 Martirosyan-Tran van Trung 84 21835560 Martirosyan-Tran van Trung 87 22284739 perfect hash family9,87,19,c 98 22284882 perfect hash family9,98,20 100 23915547 Martirosyan-Tran van Trung 104 23934965 Martirosyan-Tran van Trung 108 23943287 Martirosyan-Tran van Trung 112 23948835 Martirosyan-Tran van Trung 114 24123597 Martirosyan-Tran van Trung 362 24760980 Power N-CT19^2+1 363 31551390 Add a factor 722 38063108 Martirosyan-Tran van Trung 724 39934532 Martirosyan-Tran van Trung 726 46724942 Martirosyan-Tran van Trung 1284 47474835 Power N-CT41^2Arc(9)T2 1348 52409610 Power N-CT41^2Arc(9) 1381 56977704 Power N-CT41^2Arc(8) 1400 59421046 Martirosyan-Tran van Trung 1410 59457108 Martirosyan-Tran van Trung 1428 59459882 Martirosyan-Tran van Trung 1438 59462656 Martirosyan-Tran van Trung 1444 59465430 Martirosyan-Tran van Trung 1448 61336854 Martirosyan-Tran van Trung 1450 66113892 Power N-CT41^2Arc(6) 1452 68130038 Martirosyan-Tran van Trung 1454 68879931 Martirosyan-Tran van Trung 1456 68882705 Martirosyan-Tran van Trung 1458 68921541 Martirosyan-Tran van Trung 1482 68924315 Martirosyan-Tran van Trung 1484 70314563 Martirosyan-Tran van Trung 1490 70317337 Martirosyan-Tran van Trung 1510 70320111 Martirosyan-Tran van Trung 1512 70322885 Martirosyan-Tran van Trung 1520 70350625 Martirosyan-Tran van Trung 1536 73046359 Martirosyan-Tran van Trung 1540 73063003 Martirosyan-Tran van Trung 1560 73065777 Martirosyan-Tran van Trung 1568 74456025 Martirosyan-Tran van Trung 1600 74464347 Martirosyan-Tran van Trung 1776 74823321 Martirosyan-Tran van Trung 1800 74856609 Martirosyan-Tran van Trung 1816 74859383 Martirosyan-Tran van Trung 1840 74892671 Martirosyan-Tran van Trung 1856 74895445 Martirosyan-Tran van Trung 1904 74928733 Martirosyan-Tran van Trung 2166 74942603 Martirosyan-Tran van Trung 2280 76912523 Martirosyan-Tran van Trung 2568 77047955 Martirosyan-Tran van Trung 2696 81982730 Martirosyan-Tran van Trung 2762 86917505 Martirosyan-Tran van Trung 2800 88994166 Martirosyan-Tran van Trung 2820 89030228 Martirosyan-Tran van Trung 2856 89033002 Martirosyan-Tran van Trung 2876 89035776 Martirosyan-Tran van Trung 2888 89038550 Martirosyan-Tran van Trung 2896 90909974 Martirosyan-Tran van Trung 2900 96787055 Martirosyan-Tran van Trung 2904 97703158 Martirosyan-Tran van Trung 2908 98453051 Martirosyan-Tran van Trung 2912 98455825 Martirosyan-Tran van Trung 2916 98494661 Martirosyan-Tran van Trung 2964 98497435 Martirosyan-Tran van Trung 2968 99887683 Martirosyan-Tran van Trung 2980 99890457 Martirosyan-Tran van Trung 3020 99893231 Martirosyan-Tran van Trung 3024 99896005 Martirosyan-Tran van Trung 3040 99923745 Martirosyan-Tran van Trung 5000 102205938 Power CT25^3TD(6,5) trunc 5 5100 104544857 Power CT25^3TD(6,5) trunc 4 5500 105553130 Power CT25^3TD(5,5) trunc 5 5700 107892049 Power CT25^3TD(5,5) trunc 4 6500 108900322 Power CT25^3TD(4,5) trunc 5 6800 111239241 Power CT25^3TD(4,5) trunc 4 8000 112247514 Power CT23^3T3T3T3 8400 114586433 Power CT23^3T3T3T2 10000 115594706 Power CT25^3T5T5

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