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

Last Updated Sun Dec 20 13:00:52 MST 2015

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).

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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 30 260639 LFSR(Tzanakis-Moura-Panario-Stevens) fuse 32 355703 Colbourn-Martirosyan-TVT-Walker 40 356094 Colbourn-Martirosyan-TVT-Walker 45 471949 Colbourn-Martirosyan-TVT-Walker 48 471983 Colbourn-Martirosyan-TVT-Walker 60 472374 Colbourn-Martirosyan-TVT-Walker 64 571451 Colbourn-Martirosyan-TVT-Walker 80 571842 Colbourn-Martirosyan-TVT-Walker 100 581829 Colbourn-Martirosyan-TVT-Walker 120 588552 Colbourn-Martirosyan-TVT-Walker 133 609502 Colbourn-Martirosyan-TVT-Walker 140 611040 Colbourn-Martirosyan-TVT-Walker 152 629252 Colbourn-Martirosyan-TVT-Walker 361 630665 Colbourn-Martirosyan-TVT-Walker fuse 380 642848 Colbourn-Martirosyan-TVT-Walker 400 649649 Colbourn-Martirosyan-TVT-Walker 401 858647 Add a factor 420 910131 Colbourn-Martirosyan-TVT-Walker 437 922247 Colbourn-Martirosyan-TVT-Walker fuse 456 922643 Colbourn-Martirosyan-TVT-Walker fuse 460 938628 Colbourn-Martirosyan-TVT-Walker 480 939635 Colbourn-Martirosyan-TVT-Walker 513 949427 Colbourn-Martirosyan-TVT-Walker fuse 520 963100 Colbourn-Martirosyan-TVT-Walker 540 963119 Colbourn-Martirosyan-TVT-Walker 662 973043 Colbourn-Martirosyan-TVT-Walker 664 973365 Colbourn-Martirosyan-TVT-Walker 678 973373 Colbourn-Martirosyan-TVT-Walker 702 977375 Colbourn-Martirosyan-TVT-Walker 722 981449 Colbourn-Martirosyan-TVT-Walker 726 993632 Colbourn-Martirosyan-TVT-Walker 742 996388 Colbourn-Martirosyan-TVT-Walker 750 997778 Colbourn-Martirosyan-TVT-Walker 760 1000582 Colbourn-Martirosyan-TVT-Walker 762 1007383 Colbourn-Martirosyan-TVT-Walker 764 1101019 Colbourn-Martirosyan-TVT-Walker 800 1107593 Colbourn-Martirosyan-TVT-Walker 993 1199789 Colbourn-Martirosyan-TVT-Walker 996 1200111 Colbourn-Martirosyan-TVT-Walker 1017 1200119 Colbourn-Martirosyan-TVT-Walker 1053 1204121 Colbourn-Martirosyan-TVT-Walker 1083 1208195 Colbourn-Martirosyan-TVT-Walker 1089 1220378 Colbourn-Martirosyan-TVT-Walker 1113 1223134 Colbourn-Martirosyan-TVT-Walker 1125 1224524 Colbourn-Martirosyan-TVT-Walker 1140 1224882 Colbourn-Martirosyan-TVT-Walker 1143 1234129 Colbourn-Martirosyan-TVT-Walker 1200 1238560 Colbourn-Martirosyan-TVT-Walker 1324 1299580 Colbourn-Martirosyan-TVT-Walker 1328 1299902 Colbourn-Martirosyan-TVT-Walker 1356 1299910 Colbourn-Martirosyan-TVT-Walker 1404 1303912 Colbourn-Martirosyan-TVT-Walker 1444 1307986 Colbourn-Martirosyan-TVT-Walker 1655 1319486 Colbourn-Martirosyan-TVT-Walker 1660 1319808 Colbourn-Martirosyan-TVT-Walker 1695 1319816 Colbourn-Martirosyan-TVT-Walker 1755 1323818 Colbourn-Martirosyan-TVT-Walker 1805 1327892 Colbourn-Martirosyan-TVT-Walker 1986 1329287 Colbourn-Martirosyan-TVT-Walker 1992 1329609 Colbourn-Martirosyan-TVT-Walker 2034 1329617 Colbourn-Martirosyan-TVT-Walker 2106 1333619 Colbourn-Martirosyan-TVT-Walker 2166 1337693 Colbourn-Martirosyan-TVT-Walker 2280 1341168 Colbourn-Martirosyan-TVT-Walker 2400 1354846 Colbourn-Martirosyan-TVT-Walker 2457 1361068 Colbourn-Martirosyan-TVT-Walker 2527 1362118 Colbourn-Martirosyan-TVT-Walker 2660 1363656 Colbourn-Martirosyan-TVT-Walker 6859 1371419 Colbourn-Martirosyan-TVT-Walker fuse 7180 1396959 Colbourn-Martirosyan-TVT-Walker 7200 1397315 Colbourn-Martirosyan-TVT-Walker 7220 1397317 Colbourn-Martirosyan-TVT-Walker 7240 1424536 Colbourn-Martirosyan-TVT-Walker 7300 1424540 Colbourn-Martirosyan-TVT-Walker 7340 1428536 Colbourn-Martirosyan-TVT-Walker 7360 1428892 Colbourn-Martirosyan-TVT-Walker 7540 1428902 Colbourn-Martirosyan-TVT-Walker 7600 1433336 Colbourn-Martirosyan-TVT-Walker 7620 1440137 Colbourn-Martirosyan-TVT-Walker 7640 1544789 Colbourn-Martirosyan-TVT-Walker 7780 1563143 Colbourn-Martirosyan-TVT-Walker 8000 1567649 Colbourn-Martirosyan-TVT-Walker 8001 1857418 Colbourn-Martirosyan-TVT-Walker 8020 1898808 Colbourn-Martirosyan-TVT-Walker 8360 1935272 Colbourn-Martirosyan-TVT-Walker 8382 1942073 Colbourn-Martirosyan-TVT-Walker 8664 1952994 Colbourn-Martirosyan-TVT-Walker 8740 1976358 Colbourn-Martirosyan-TVT-Walker 8900 1979942 Colbourn-Martirosyan-TVT-Walker 9120 1980477 Colbourn-Martirosyan-TVT-Walker 9144 1987278 Colbourn-Martirosyan-TVT-Walker 9158 1999823 Colbourn-Martirosyan-TVT-Walker fuse 9200 2002399 Colbourn-Martirosyan-TVT-Walker 9220 2003406 Colbourn-Martirosyan-TVT-Walker 9538 2008333 Colbourn-Martirosyan-TVT-Walker fuse 9614 2010059 Colbourn-Martirosyan-TVT-Walker fuse 9747 2010474 Colbourn-Martirosyan-TVT-Walker 9880 2031318 Colbourn-Martirosyan-TVT-Walker 10000 2031357 Colbourn-Martirosyan-TVT-Walker

Graph: