Table for CAN(2,k,17) for k up to 20000

Last Updated Sat Feb 22 09:21:55 MST 2014

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,17) 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 18 289 orthogonal array 19 351 projection (C) postop NCK 20 352 projection (C) postop NCK 21 354 projection (C) postop NCK 22 357 projection (C) postop TJ-SA 23 442 Add a symbol (binary) 24 467 projection (C) postop NCK 25 469 projection (C) postop NCK 26 471 projection (C) postop NCK 27 473 projection (C) postop NCK 28 474 projection (C) postop NCK 29 477 projection (C) postop NCK 30 479 projection (C) postop NCK 31 497 Fix 1 symbols (Colbourn) 32 513 Fix 1 symbols (Colbourn) 39 517 Fix 5 symbols (LCDST) 40 529 Fix 5 symbols (LCDST) 41 541 Fix 5 symbols (LCDST) 45 551 simulated annealing (Torres-Jimenez) 51 560 simulated annealing (Torres-Jimenez) 323 561 PCAx2PCA 324 576 Direct product 340 594 Direct product 341 609 Direct product generalized 360 610 Direct product 378 626 Direct product 380 627 Direct product generalized 381 628 Direct product generalized 396 629 Direct product 402 645 Direct product generalized 404 646 Direct product generalized 406 657 Direct product generalized 409 658 Direct product generalized 420 659 Direct product 421 661 Direct product generalized 440 662 Direct product 444 677 Direct product generalized 448 679 Direct product generalized 462 680 Direct product generalized 469 692 Direct product generalized 484 695 Direct product generalized 485 724 Direct product generalized 486 725 Direct product generalized 505 728 Direct product generalized 528 731 Direct product generalized 530 745 Direct product generalized 533 746 Direct product generalized 540 747 Direct product generalized 550 748 Direct product generalized 554 759 Direct product generalized 560 760 Direct product generalized 564 761 Direct product generalized 569 762 Direct product generalized 571 763 Direct product generalized 572 764 Direct product generalized 577 772 Direct product generalized 583 773 Direct product generalized 587 774 Direct product generalized 590 775 Direct product generalized 593 776 Direct product generalized 594 777 Direct product generalized 600 784 Direct product 605 786 Direct product generalized 609 788 Direct product generalized 692 789 PCAx2PCA 710 801 PCAx2PCA 728 813 PCAx2PCA 767 823 PCAx2PCA 780 831 PCAx2PCA 869 832 PCAx2PCA 5797 833 PCAx2PCA 5814 848 Direct product 5832 863 Direct product 6120 866 Direct product 6137 881 Direct product generalized 6464 882 PCAx2PCA 6477 884 Direct product generalized 6480 897 Direct product 6783 898 Direct product 6840 899 PCAx2PCA 6885 900 Direct product generalized 7106 901 Direct product 7175 915 Direct product generalized 7217 916 Direct product generalized 7311 917 Direct product generalized 7328 919 Direct product generalized 7330 920 Direct product generalized 7560 931 PCAx2PCA 7600 932 Direct product 7644 933 Direct product generalized 7900 934 PCAx2PCA 7920 935 PCAxPCA 7938 949 PCAx2PCA 8051 950 Direct product generalized 8082 951 Direct product generalized 8316 952 PCAx2PCA 8442 964 PCAx2PCA 8521 965 Direct product generalized 8553 966 Direct product generalized 8712 967 PCAx2PCA 8800 968 Direct product 8904 981 Direct product generalized 8920 982 Direct product generalized 8998 983 Direct product generalized 9029 984 Direct product generalized 9240 985 Direct product 9306 986 Direct product generalized 9428 997 Direct product generalized 9456 998 Direct product generalized 9515 999 Direct product generalized 9680 1000 Direct product 9858 1001 Direct product generalized 9864 1002 Direct product generalized 9900 1003 Direct product generalized 9906 1014 Direct product generalized 9928 1015 Direct product generalized 9943 1016 Direct product generalized 10093 1017 Direct product generalized 10318 1018 Direct product generalized 10358 1020 Direct product generalized 10406 1021 Direct product generalized 10423 1030 Direct product generalized 10511 1032 Direct product generalized 10648 1033 Direct product generalized 10728 1034 Direct product generalized 10796 1035 Direct product generalized 10808 1036 Direct product generalized 10840 1037 Direct product generalized 10888 1038 Direct product generalized 10912 1039 Direct product generalized 11000 1053 Direct product 11088 1054 Direct product generalized 11154 1055 Direct product generalized 12427 1061 PCAx2PCA 12750 1073 PCAx2PCA 13073 1085 PCAx2PCA 13260 1094 Direct product 13804 1095 PCAx2PCA 14008 1103 PCAx2PCA 15640 1104 PCAx2PCA 20000 1105 Direct product

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