Table for CAN(4,k,18) for k up to 10000

Last Updated Sat Nov 16 04:48:29 MST 2019

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,18) 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).

Change t: - + Change v: - + or go to Global Menu.

k N Source 5 104976 Derive from strength 5 6 108621 Derive from strength 5 7 123072 Augment OA 8 128142 orthogonal array fuse postop NCK 9 129687 orthogonal array fuse postop NCK 10 130091 orthogonal array fuse postop NCK 11 130263 orthogonal array fuse postop NCK 12 130280 orthogonal array fuse postop NCK 13 130287 orthogonal array fuse postop NCK 20 130319 orthogonal array fuse 21 233928 extended OA (Colbourn) special fuse 28 253781 3-Restricted SCPHF RE (CL) fuse 35 260279 2-Restricted SCPHF RE (CL) fuse 40 356094 Colbourn-Martirosyan-TVT-Walker 72 384083 3-Restricted SCPHF RE (CL) fuse 79 390581 2-Restricted SCPHF RE (CL) fuse 83 390923 SCPHF Random Extension (CLS) fuse 136 507545 3,3-Restricted SCPHF RE (CL) fuse 157 514043 3,2-Restricted SCPHF RE (CL) fuse 170 514385 3-Restricted SCPHF RE (CL) fuse 191 520541 2,2-Restricted SCPHF RE (CL) fuse 197 520883 2-Restricted SCPHF RE (CL) fuse 199 521225 SCPHF Random Extension (CLS) fuse 203 521279 CPHF Random Extension (CLS) fuse 361 630665 Colbourn-Martirosyan-TVT-Walker fuse 380 642847 Colbourn-Martirosyan-TVT-Walker 383 644687 3-Restricted SCPHF RE (CL) fuse 400 649648 Colbourn-Martirosyan-TVT-Walker 449 650843 2,2-Restricted SCPHF RE (CL) fuse 458 651185 2-Restricted SCPHF RE (CL) fuse 462 651527 SCPHF Random Extension (CLS) fuse 463 651599 CPHF Random Extension (CLS) fuse 643 761309 3,3,3-Restricted SCPHF RE (CL) fuse 716 768149 3,3-Restricted SCPHF RE (CL) fuse 855 774647 3,2-Restricted SCPHF RE (CL) fuse 991 781145 2,2-Restricted SCPHF RE (CL) fuse 1062 781487 2-Restricted SCPHF RE (CL) fuse 1070 781829 SCPHF Random Extension (CLS) fuse 1075 781919 CPHF Random Extension (CLS) fuse 2079 912131 SCPHF Random Extension (CLS) fuse 2137 912239 CPHF Random Extension (CLS) fuse 3376 1042433 SCPHF Random Extension (CLS) fuse 3525 1042559 CPHF Random Extension (CLS) fuse 3629 1260971 Colbourn-Martirosyan-TVT-Walker fuse 3743 1261313 Colbourn-Martirosyan-TVT-Walker fuse 3781 1261655 Colbourn-Martirosyan-TVT-Walker fuse 3857 1261709 Colbourn-Martirosyan-TVT-Walker fuse 3940 1286834 Colbourn-Martirosyan-TVT-Walker 3980 1287176 Colbourn-Martirosyan-TVT-Walker 4060 1287230 Colbourn-Martirosyan-TVT-Walker 6555 1371095 Colbourn-Martirosyan-TVT-Walker fuse 6859 1371419 Colbourn-Martirosyan-TVT-Walker fuse 6900 1396616 Colbourn-Martirosyan-TVT-Walker 7180 1396958 Colbourn-Martirosyan-TVT-Walker 7200 1397313 Colbourn-Martirosyan-TVT-Walker 7220 1397316 Colbourn-Martirosyan-TVT-Walker 7239 1421496 Colbourn-Martirosyan-TVT-Walker 7240 1423100 Colbourn-Martirosyan-TVT-Walker 7320 1424538 Colbourn-Martirosyan-TVT-Walker 7340 1428534 Colbourn-Martirosyan-TVT-Walker 7360 1428889 Colbourn-Martirosyan-TVT-Walker 7560 1428900 Colbourn-Martirosyan-TVT-Walker 7600 1433334 Colbourn-Martirosyan-TVT-Walker 7620 1435174 Colbourn-Martirosyan-TVT-Walker 7640 1539826 Colbourn-Martirosyan-TVT-Walker 7660 1545944 Colbourn-Martirosyan-TVT-Walker 7680 1553983 Colbourn-Martirosyan-TVT-Walker 7700 1557061 Colbourn-Martirosyan-TVT-Walker 7800 1563141 Colbourn-Martirosyan-TVT-Walker 8000 1567647 Colbourn-Martirosyan-TVT-Walker 8040 1637974 Colbourn-Martirosyan-TVT-Walker 8100 1641018 Colbourn-Martirosyan-TVT-Walker 8246 1681235 Colbourn-Martirosyan-TVT-Walker fuse 8398 1684423 Colbourn-Martirosyan-TVT-Walker fuse 8531 1690895 Colbourn-Martirosyan-TVT-Walker fuse 8702 1691237 Colbourn-Martirosyan-TVT-Walker fuse 8778 1699849 Colbourn-Martirosyan-TVT-Walker fuse 8797 1699921 Colbourn-Martirosyan-TVT-Walker fuse 8920 1708141 Colbourn-Martirosyan-TVT-Walker 8980 1714613 Colbourn-Martirosyan-TVT-Walker 9160 1714955 Colbourn-Martirosyan-TVT-Walker 9240 1715297 Colbourn-Martirosyan-TVT-Walker 9260 1723639 Colbourn-Martirosyan-TVT-Walker 9538 1819819 Colbourn-Martirosyan-TVT-Walker fuse 9614 1821545 Colbourn-Martirosyan-TVT-Walker fuse 9671 1826771 Colbourn-Martirosyan-TVT-Walker fuse 9747 1827167 Colbourn-Martirosyan-TVT-Walker fuse 10000 1843537 Colbourn-Martirosyan-TVT-Walker

Graph: