Table for CAN(4,k,12) for k up to 10000

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,12) 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 5 20736 Derive from strength 5 6 24201 Augment OA 7 25875 orthogonal array fuse postop NCK 8 26967 orthogonal array fuse postop NCK 9 27769 orthogonal array fuse postop NCK 10 28329 orthogonal array fuse postop NCK 11 28341 orthogonal array fuse postop NCK 12 28482 orthogonal array fuse postop NCK 13 28483 orthogonal array fuse postop NCK 14 28486 orthogonal array fuse postop NCK 15 48672 extended OA (Colbourn) special fuse 21 54923 3-Restricted SCPHF RE (CL) fuse 27 56951 2-Restricted SCPHF RE (CL) fuse 28 57119 CPHF Random Extension (CLS) fuse 51 83471 3-Restricted SCPHF RE (CL) fuse 55 85499 2-Restricted SCPHF RE (CL) fuse 57 85655 SCPHF Random Extension (CLS) fuse 94 109835 3,3-Restricted SCPHF RE (CL) fuse 105 111863 3,2-Restricted SCPHF RE (CL) fuse 106 112019 3-Restricted SCPHF RE (CL) fuse 119 113891 2,2-Restricted SCPHF RE (CL) fuse 121 114047 2-Restricted SCPHF RE (CL) fuse 124 114203 SCPHF Random Extension (CLS) fuse 126 135594 Colbourn-Martirosyan-TVT-Walker 130 135919 Colbourn-Martirosyan-TVT-Walker 132 135932 Colbourn-Martirosyan-TVT-Walker 143 135933 Colbourn-Martirosyan-TVT-Walker 169 136043 Colbourn-Martirosyan-TVT-Walker fuse 177 138383 3,3-Restricted SCPHF RE (CL) fuse 182 139159 Colbourn-Martirosyan-TVT-Walker 205 140411 3,2-Restricted SCPHF RE (CL) fuse 217 140567 3-Restricted SCPHF RE (CL) fuse 249 142439 2,2-Restricted SCPHF RE (CL) fuse 262 142595 2-Restricted SCPHF RE (CL) fuse 265 142751 SCPHF Random Extension (CLS) fuse 266 142799 CPHF Random Extension (CLS) fuse 324 164747 3,3,3-Restricted SCPHF RE (CL) fuse 375 166931 3,3-Restricted SCPHF RE (CL) fuse 421 168959 3,2-Restricted SCPHF RE (CL) fuse 434 169115 3-Restricted SCPHF RE (CL) fuse 505 170987 2,2-Restricted SCPHF RE (CL) fuse 514 171143 2-Restricted SCPHF RE (CL) fuse 533 171299 SCPHF Random Extension (CLS) fuse 534 171359 CPHF Random Extension (CLS) fuse 661 193295 3,3,3-Restricted SCPHF RE (CL) fuse 745 195479 3,3-Restricted SCPHF RE (CL) fuse 850 197507 3,2-Restricted SCPHF RE (CL) fuse 878 197663 3-Restricted SCPHF RE (CL) fuse 1017 199535 2,2-Restricted SCPHF RE (CL) fuse 1077 199691 2-Restricted SCPHF RE (CL) fuse 1083 199847 SCPHF Random Extension (CLS) fuse 1102 199919 CPHF Random Extension (CLS) fuse 1990 228395 SCPHF Random Extension (CLS) fuse 2040 228479 CPHF Random Extension (CLS) fuse 3067 256943 SCPHF Random Extension (CLS) fuse 3112 257039 CPHF Random Extension (CLS) fuse 3113 318683 Add a factor 3114 337691 Add a factor 3146 355217 Colbourn-Martirosyan-TVT-Walker fuse 3220 360077 Colbourn-Martirosyan-TVT-Walker 3276 360867 Colbourn-Martirosyan-TVT-Walker 3290 365775 Colbourn-Martirosyan-TVT-Walker 3388 366087 Colbourn-Martirosyan-TVT-Walker 3486 374368 Colbourn-Martirosyan-TVT-Walker 3528 374524 Colbourn-Martirosyan-TVT-Walker 3612 376693 Colbourn-Martirosyan-TVT-Walker 3668 381889 Colbourn-Martirosyan-TVT-Walker 3710 382045 Colbourn-Martirosyan-TVT-Walker 3724 382093 Colbourn-Martirosyan-TVT-Walker 3980 384463 Colbourn-Martirosyan-TVT-Walker 4026 384547 Colbourn-Martirosyan-TVT-Walker 4080 385713 Colbourn-Martirosyan-TVT-Walker 4116 411085 Colbourn-Martirosyan-TVT-Walker 4125 413557 Colbourn-Martirosyan-TVT-Walker 4134 414177 Colbourn-Martirosyan-TVT-Walker 4392 414243 Colbourn-Martirosyan-TVT-Walker 4758 414309 Colbourn-Martirosyan-TVT-Walker 4760 414672 Colbourn-Martirosyan-TVT-Walker 5068 415662 Colbourn-Martirosyan-TVT-Walker 5124 415805 Colbourn-Martirosyan-TVT-Walker 5544 417613 Colbourn-Martirosyan-TVT-Walker 5555 421703 Colbourn-Martirosyan-TVT-Walker 5654 421859 Colbourn-Martirosyan-TVT-Walker 5863 422015 Colbourn-Martirosyan-TVT-Walker 5874 422075 Colbourn-Martirosyan-TVT-Walker 5894 422701 Colbourn-Martirosyan-TVT-Walker 6076 422857 Colbourn-Martirosyan-TVT-Walker 6552 424515 Colbourn-Martirosyan-TVT-Walker 7056 424729 Colbourn-Martirosyan-TVT-Walker 7070 427870 Colbourn-Martirosyan-TVT-Walker 7196 428026 Colbourn-Martirosyan-TVT-Walker 7462 428182 Colbourn-Martirosyan-TVT-Walker 7476 428242 Colbourn-Martirosyan-TVT-Walker 7826 450174 Colbourn-Martirosyan-TVT-Walker 8428 450178 Colbourn-Martirosyan-TVT-Walker 8596 451894 Colbourn-Martirosyan-TVT-Walker 9516 458651 Colbourn-Martirosyan-TVT-Walker fuse 9685 459083 Colbourn-Martirosyan-TVT-Walker fuse 9854 461111 Colbourn-Martirosyan-TVT-Walker fuse 9940 469210 Colbourn-Martirosyan-TVT-Walker 10000 472161 Colbourn-Martirosyan-TVT-Walker
Graph: