Table for CAN(4,k,9) for k up to 10000

Last Updated Sat Nov 14 06:42:46 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;4,k,9) 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 10 6561 orthogonal array 11 12312 extended orthogonal array (Colbourn) 21 13113 Sherwood-Martirosyan-Colbourn, Walker 39 19665 Sherwood-Martirosyan-Colbourn, Walker 81 30617 Colbourn-Martirosyan-Trung-Walker 90 31913 Colbourn-Martirosyan-Trung-Walker 99 41400 Colbourn-Martirosyan-Trung-Walker 108 43497 Colbourn-Martirosyan-Trung-Walker 117 44945 Colbourn-Martirosyan-Trung-Walker 180 47537 Colbourn-Martirosyan-Trung-Walker 189 48113 Colbourn-Martirosyan-Trung-Walker 351 54665 Colbourn-Martirosyan-Trung-Walker 369 65617 Colbourn-Martirosyan-Trung-Walker 729 70225 Colbourn-Martirosyan-Trung-Walker 738 74113 Colbourn-Martirosyan-Trung-Walker 774 74439 Colbourn-Martirosyan-Trung-Walker 810 75465 Colbourn-Martirosyan-Trung-Walker 882 86104 Colbourn-Martirosyan-Trung-Walker 891 87584 Colbourn-Martirosyan-Trung-Walker 972 89681 Colbourn-Martirosyan-Trung-Walker 1017 91129 Colbourn-Martirosyan-Trung-Walker 1026 96313 Colbourn-Martirosyan-Trung-Walker 1053 97485 Colbourn-Martirosyan-Trung-Walker 1089 100269 Colbourn-Martirosyan-Trung-Walker 1098 102861 Colbourn-Martirosyan-Trung-Walker 1134 103267 Colbourn-Martirosyan-Trung-Walker 1206 104103 Colbourn-Martirosyan-Trung-Walker 1242 104533 Colbourn-Martirosyan-Trung-Walker 1314 105417 Colbourn-Martirosyan-Trung-Walker 1620 105721 Colbourn-Martirosyan-Trung-Walker 1701 106297 Colbourn-Martirosyan-Trung-Walker 2025 112849 Colbourn-Martirosyan-Trung-Walker 3159 116305 Colbourn-Martirosyan-Trung-Walker 3321 127257 Colbourn-Martirosyan-Trung-Walker 3420 132585 Colbourn-Martirosyan-Trung-Walker 3690 133089 Colbourn-Martirosyan-Trung-Walker 6561 136473 Colbourn-Martirosyan-Trung-Walker 6642 144249 Colbourn-Martirosyan-Trung-Walker 6966 144575 Colbourn-Martirosyan-Trung-Walker 7290 145601 Colbourn-Martirosyan-Trung-Walker 7938 157392 Colbourn-Martirosyan-Trung-Walker 8019 158872 Colbourn-Martirosyan-Trung-Walker 8100 161481 Colbourn-Martirosyan-Trung-Walker 8748 162505 Colbourn-Martirosyan-Trung-Walker 9153 163953 Colbourn-Martirosyan-Trung-Walker 9234 174009 Colbourn-Martirosyan-Trung-Walker 9477 175181 Colbourn-Martirosyan-Trung-Walker 9801 177965 Colbourn-Martirosyan-Trung-Walker 9882 180557 Colbourn-Martirosyan-Trung-Walker 10000 180963 Colbourn-Martirosyan-Trung-Walker

Graph: