Table for CAN(2,k,14) 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,14) 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 6 196 orthogonal array 7 210 Holey Transversal Design 10 221 Add a symbol (binary) 11 228 Add a symbol (binary) 12 232 Add a symbol (binary) 13 234 Add a symbol (binary) 14 241 orthogonal array fuse fuse postop TJ-SA 15 242 orthogonal array fuse fuse postop TJ-SA 16 243 orthogonal array fuse fuse postop TJ-SA 17 244 orthogonal array fuse fuse postop TJ-SA 18 247 projection (C) postop TJ-SA 19 248 Fix 1 symbols (LCDST) 20 272 projection (C) postop TJ-SA 21 274 Fix 1 symbols (LCDST) 22 287 Fix 1 symbols (LCDST) 23 300 Fix 1 symbols (Meagher-Stevens) 24 306 double proj (C) postop NCK 25 322 projection (C) postop NCK 27 329 simulated annealing (Torres-Jimenez) 30 330 Fix 4 symbols (LCDST) 31 341 Fix 4 symbols (LCDST) 33 342 Fix 5 symbols (LCDST) 34 351 Fix 5 symbols (LCDST) 35 360 Fix 5 symbols (LCDST) 36 370 Fix 5 symbols (LCDST) 37 381 Fix 5 symbols (LCDST) 38 388 Fix 5 symbols (LCDST) postop TJ-SA 40 391 simulated annealing (Torres-Jimenez) 50 392 Holey Transversal Design 60 403 PCAxPCA 102 405 Direct product 108 418 Direct product 119 419 Direct product 126 429 Add a symbol (binary) 170 431 Direct product 171 437 Direct product generalized 187 438 Direct product 188 441 Direct product generalized 204 442 Direct product 205 443 Direct product generalized 221 444 Direct product 224 452 Direct product generalized 272 453 Direct product 289 454 Direct product 290 456 Direct product generalized 306 457 Direct product 307 459 Direct product generalized 323 460 Direct product 324 470 Direct product 327 472 Direct product generalized 342 473 Direct product 360 482 PCAxPCA 361 485 Direct product 369 487 Direct product generalized 371 489 Direct product generalized 375 496 Direct product generalized 378 498 Direct product 379 500 Direct product generalized 380 501 Direct product generalized 390 503 Direct product generalized 398 508 PCAxPCA 399 510 Direct product 407 512 Direct product generalized 419 514 Direct product generalized 425 517 Direct product generalized 436 524 Direct product generalized 439 532 Direct product generalized 440 534 PCAxPCA 445 536 Direct product generalized 457 538 Direct product generalized 467 539 Direct product generalized 471 542 Direct product generalized 475 546 Direct product generalized 481 549 Direct product generalized 510 551 Direct product 511 561 Direct product generalized 527 562 Direct product 561 563 Direct product 562 564 PCAxPCA 570 567 Direct product 578 572 Direct product 581 575 PCAxPCA 594 576 Direct product 617 577 PCAxPCA 627 579 Direct product 636 586 PCAxPCA 646 588 Direct product 670 592 Direct product generalized 672 596 Direct product generalized 692 600 Direct product generalized 850 601 Direct product 1020 612 PCAxPCA 1734 614 Direct product 1740 626 Direct product generalized 1836 627 Direct product 2023 628 Direct product 2066 639 Direct product generalized 2754 640 Direct product 2880 641 Direct product generalized 3026 647 Direct product 3168 648 Direct product generalized 3298 651 Direct product 3456 652 Direct product generalized 3570 653 Direct product 3744 654 Direct product generalized 3757 661 Direct product 4386 662 Direct product 4658 663 Direct product 4913 664 Direct product 4930 665 Direct product generalized 5202 666 Direct product 5219 669 Direct product generalized 5491 670 Direct product 5492 678 Direct product generalized 5508 679 Direct product 5562 681 Direct product generalized 5814 683 Direct product 5871 685 Direct product generalized 5975 693 Direct product generalized 6120 694 PCAxPCA 6137 695 PCAxPCA 6273 696 Direct product 6323 697 Direct product generalized 6340 698 Direct product generalized 6389 699 Direct product generalized 6391 703 Direct product generalized 6407 704 Direct product generalized 6415 706 Direct product generalized 6481 707 PCAxPCA 6498 708 PCAxPCA 6642 709 Direct product 6693 710 Direct product generalized 6705 711 Direct product generalized 6796 712 Direct product generalized 6798 713 Direct product generalized 6804 716 PCAxPCA 6840 719 Direct product 6855 720 Direct product generalized 7011 721 PCAxPCA 7172 723 Direct product generalized 7220 724 Direct product generalized 7285 725 Direct product generalized 7331 727 Direct product generalized 7333 731 Direct product generalized 7359 732 Direct product generalized 7393 734 Direct product generalized 7416 735 Direct product generalized 7542 736 Direct product 7656 737 Direct product generalized 7692 738 Direct product generalized 7769 740 Direct product generalized 7811 746 Direct product generalized 7829 747 Direct product generalized 7961 748 PCAxPCA 7991 749 Direct product generalized 8219 750 Direct product generalized 8255 751 Direct product generalized 8277 752 Direct product generalized 8387 753 Direct product generalized 8393 756 Direct product generalized 8395 760 Direct product generalized 8422 761 Direct product generalized 8640 762 Direct product generalized 8665 764 Direct product generalized 8675 765 Direct product generalized 8777 766 Direct product generalized 8793 768 Direct product generalized 8799 770 Direct product generalized 9010 772 Direct product 9180 773 PCAxPCA 9504 774 Direct product generalized 9554 776 PCAxPCA 9690 777 PCAxPCA 9792 783 Direct product generalized 10098 785 PCAxPCA 10131 788 Direct product generalized 10659 789 PCAxPCA 10982 798 PCAxPCA 11012 801 Direct product generalized 11286 802 PCAxPCA 11362 803 Direct product generalized 11408 805 Direct product generalized 11412 806 Direct product generalized 11413 807 Direct product generalized 11805 809 Direct product generalized 13634 810 Direct product 13668 811 Direct product generalized 14400 812 Direct product generalized 17340 821 Direct product 20000 823 Direct product

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