Table for CAN(2,k,19) for k up to 20000

Last Updated Wed Jan 4 20:01:55 MST 2012

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;2,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 20 361 orthogonal array 21 498 projection (C) postop NCK 24 499 projection (C) postop NCK 25 502 projection (C) postop NCK 26 504 projection (C) postop NCK 27 507 projection (C) postop NCK 28 509 projection (C) postop TJ-SA 29 572 projection (C) postop NCK 30 574 projection (C) postop NCK 31 576 projection (C) postop NCK 32 577 projection (C) postop NCK 33 637 projection (C) postop NCK 34 638 projection (C) postop NCK 35 640 projection (C) postop NCK 36 645 projection (C) postop NCK 45 660 Fix 6 symbols (LCDST) 46 673 Fix 6 symbols (LCDST) 47 686 Fix 6 symbols (LCDST) 50 698 simulated annealing (Torres-Jimenez) 399 703 PCAx2PCA 400 720 Direct product 456 776 Direct product 457 793 Direct product generalized 480 794 Direct product 500 815 Direct product generalized 501 826 Direct product generalized 503 827 Direct product generalized 505 829 Direct product generalized 509 830 Direct product generalized 512 831 Direct product generalized 517 832 Direct product generalized 519 833 Direct product generalized 520 834 Direct product generalized 521 845 Direct product generalized 522 846 Direct product generalized 524 848 Direct product generalized 540 849 Direct product 560 851 Direct product 561 879 Direct product generalized 562 880 Direct product generalized 564 881 Direct product generalized 565 882 Direct product generalized 570 883 Direct product generalized 576 884 Direct product generalized 577 885 Direct product generalized 578 886 Direct product generalized 580 887 Direct product generalized 583 897 Direct product generalized 585 898 Direct product generalized 586 899 Direct product generalized 589 901 Direct product generalized 593 902 Direct product generalized 596 903 Direct product generalized 599 904 Direct product generalized 600 907 Direct product generalized 603 917 Direct product generalized 620 918 Direct product 640 919 Direct product 648 922 Direct product 672 924 Direct product 678 944 Direct product generalized 684 945 Direct product generalized 700 946 Direct product generalized 705 959 Direct product generalized 714 960 Direct product generalized 719 961 Direct product generalized 725 962 Direct product generalized 727 963 Direct product generalized 728 964 Direct product generalized 729 978 Direct product generalized 742 979 Direct product generalized 745 980 Direct product generalized 755 981 Direct product generalized 756 982 Direct product generalized 768 992 Direct product 770 998 Direct product generalized 784 999 Direct product 888 1002 PCAx2PCA 900 1014 Direct product 908 1015 PCAx2PCA 920 1027 Direct product 928 1028 PCAx2PCA 952 1040 PCAx2PCA 7961 1045 PCAx2PCA 7980 1062 Direct product 8000 1079 Direct product 9120 1118 Direct product 9139 1135 Direct product generalized 9582 1136 PCAx2PCA 9600 1153 Direct product 9680 1157 PCAx2PCA 10000 1158 PCAxPCA 10014 1168 Direct product generalized 10052 1169 Direct product generalized 10091 1171 Direct product generalized 10168 1172 Direct product generalized 10225 1173 Direct product generalized 10320 1174 Direct product generalized 10359 1175 Direct product generalized 10378 1176 Direct product generalized 10379 1177 Direct product generalized 10400 1179 PCAxPCA 10412 1187 Direct product generalized 10431 1188 Direct product generalized 10469 1190 Direct product generalized 10944 1191 Direct product 11172 1193 Direct product 11200 1210 PCAxPCA 11418 1213 Direct product generalized 11500 1214 Direct product generalized 11520 1227 Direct product 11534 1228 Direct product generalized 11719 1229 Direct product generalized 11831 1230 Direct product generalized 12000 1231 Direct product 12020 1233 Direct product generalized 12038 1238 Direct product generalized 12067 1245 Direct product generalized 12128 1246 Direct product generalized 12158 1247 Direct product generalized 12256 1248 Direct product generalized 12318 1249 Direct product generalized 12346 1250 Direct product generalized 12480 1251 Direct product generalized 12500 1252 Direct product generalized 12539 1253 Direct product generalized 12542 1254 Direct product generalized 12560 1255 Direct product generalized 12564 1257 Direct product generalized 12580 1258 Direct product generalized 12581 1259 Direct product generalized 12583 1260 Direct product generalized 12768 1261 Direct product 12935 1264 PCAx2PCA 12960 1265 PCAxPCA 13414 1266 PCAx2PCA 13440 1268 PCAxPCA 13520 1286 PCAx2PCA 13680 1287 PCAx2PCA 14000 1288 PCAx2PCA 14040 1305 PCAxPCA 14060 1306 PCAxPCA 14180 1307 PCAxPCA 14560 1308 PCAxPCA 14580 1323 PCAxPCA 14600 1324 PCAxPCA 14820 1325 PCAxPCA 15120 1326 PCAxPCA 15330 1334 PCAx2PCA 15360 1336 PCAxPCA 15552 1338 Direct product 16128 1341 Direct product 17727 1344 PCAx2PCA 17955 1356 Direct product 18126 1357 PCAx2PCA 18354 1369 Direct product 18525 1370 PCAx2PCA 19038 1382 PCAx2PCA 20000 1387 Direct product

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