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

Last Updated Sun Nov 22 06:43:43 MST 2009

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 10771936 Martirosyan-Tran van Trung 48 12255607 Martirosyan-Tran van Trung 50 12749285 Martirosyan-Tran van Trung 52 12754833 Martirosyan-Tran van Trung 54 12760381 Martirosyan-Tran van Trung 56 12768703 Martirosyan-Tran van Trung 58 12937917 Martirosyan-Tran van Trung 60 12957335 Martirosyan-Tran van Trung 62 12965657 Martirosyan-Tran van Trung 64 12973979 Martirosyan-Tran van Trung 66 13126549 Martirosyan-Tran van Trung 68 13132097 Martirosyan-Tran van Trung 70 13134871 Martirosyan-Tran van Trung 72 13140419 Martirosyan-Tran van Trung 74 13190351 Martirosyan-Tran van Trung 76 13240283 Martirosyan-Tran van Trung 78 13290215 Martirosyan-Tran van Trung 80 14680463 Martirosyan-Tran van Trung 81 21470873 Add a factor 87 22284739 perfect hash family9,87,19,c 98 22284882 perfect hash family9,98,20 108 24760819 perfect hash family10,108,19,c 362 24760980 Power N19^2+1 363 31551390 Add a factor 722 38069588 Martirosyan-Tran van Trung 724 38537444 Martirosyan-Tran van Trung 726 45327854 Martirosyan-Tran van Trung 760 51846052 Martirosyan-Tran van Trung 1348 52409610 Power N41^2S9 1381 56977704 Power N41^2S8 1438 59558836 Martirosyan-Tran van Trung 1444 59608768 Martirosyan-Tran van Trung 1448 60076624 Martirosyan-Tran van Trung 1450 66113892 Power N41^2S6 1452 66867034 Martirosyan-Tran van Trung 1486 70681986 Power N41^2S5 1512 74800446 Martirosyan-Tran van Trung 1520 74808768 Martirosyan-Tran van Trung 1523 75250080 Power N41^2S4 1561 79818174 Power N41^2S3 1568 81045224 Martirosyan-Tran van Trung 2166 81111800 Martirosyan-Tran van Trung 2696 81995690 Martirosyan-Tran van Trung 2762 86944335 Martirosyan-Tran van Trung 2876 89144916 Martirosyan-Tran van Trung 2888 89194848 Martirosyan-Tran van Trung 2896 89662704 Martirosyan-Tran van Trung 2904 96453114 Martirosyan-Tran van Trung 2972 101790270 Martirosyan-Tran van Trung 3024 104386526 Martirosyan-Tran van Trung 3040 104394848 Martirosyan-Tran van Trung 3046 106738915 Martirosyan-Tran van Trung 3116 110361700 Martirosyan-Tran van Trung 3136 110631304 Martirosyan-Tran van Trung 4332 110697880 Martirosyan-Tran van Trung 5392 111581770 Martirosyan-Tran van Trung 10000 115594706 Power 25^3T5T5

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