Table for CAN(4,k,3) for k up to 10000

Last Updated Wed Sep 11 17:10:53 MST 2013

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,3) 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 81 Derive from strength 5 6 111 cross-sum (CKRS) 7 123 cross-sum (CKRS) 9 135 Derive from strength 5 10 159 Sherwood-Martirosyan-Colbourn 11 183 cross-sum (CKRS) 12 201 cross-sum (CKRS) 13 219 cross-sum (CKRS) 16 237 Sherwood-Martirosyan-Colbourn 17 285 Density Mult Cyclic (Colbourn) postop NCK 18 296 Density Mult Cyclic (Colbourn) postop NCK 19 310 Density Mult Cyclic (Colbourn) postop NCK 23 315 Walker-Colbourn 24 355 Density Mult Cyclic (Colbourn) postop NCK 25 363 Density Mult Cyclic (Colbourn) postop NCK 26 366 Density Mult Cyclic (Colbourn) postop NCK 27 378 Density Mult Cyclic (Colbourn) postop NCK 28 383 Density Mult Cyclic (Colbourn) postop NCK 29 392 Density Mult Cyclic (Colbourn) postop NCK 30 393 Walker-Colbourn 31 401 Density Mult Cyclic (Colbourn) postop NCK 32 409 Density Mult Cyclic (Colbourn) postop NCK 33 417 Density Mult Cyclic (Colbourn) 34 423 Density Mult Cyclic (Colbourn) 35 429 Density Mult Cyclic (Colbourn) 37 441 Density Mult Cyclic (Colbourn) 38 447 Density Mult Cyclic (Colbourn) 40 453 Density Mult Cyclic (Colbourn) 41 465 Density Mult Cyclic (Colbourn) 43 471 Density Mult Cyclic (Colbourn) 44 477 Density Mult Cyclic (Colbourn) 46 483 Density Mult Cyclic (Colbourn) 47 489 Density Mult Cyclic (Colbourn) 49 495 Density Mult Cyclic (Colbourn) 50 501 Density Mult Cyclic (Colbourn) 53 507 Density Mult Cyclic (Colbourn) 55 519 Density Mult Cyclic (Colbourn) 56 525 Density Mult Cyclic (Colbourn) 58 531 Density Mult Cyclic (Colbourn) 60 537 Density Mult Cyclic (Colbourn) 62 543 Density Mult Cyclic (Colbourn) 64 549 Density Mult Cyclic (Colbourn) 66 555 Density Mult Cyclic (Colbourn) 68 561 Density Mult Cyclic (Colbourn) 69 567 Density Mult Cyclic (Colbourn) 71 573 Density Mult Cyclic (Colbourn) 73 579 Density Mult Cyclic (Colbourn) 76 585 Density Mult Cyclic (Colbourn) 78 591 Density Mult Cyclic (Colbourn) 81 597 Density Mult Cyclic (Colbourn) 82 603 Density Mult Cyclic (Colbourn) 85 609 Density Mult Cyclic (Colbourn) 88 615 Density Mult Cyclic (Colbourn) 92 627 Density Mult Cyclic (Colbourn) 94 633 Density Mult Cyclic (Colbourn) 97 639 Density Mult Cyclic (Colbourn) 100 645 Density Mult Cyclic (Colbourn) 105 657 Density Mult Cyclic (Colbourn) 119 663 simulated annealing (AG-TJ-H) 150 666 simulated annealing (AG-TJ-H) 224 669 Cyclotomy (Colbourn) 230 687 Cyclotomy (Colbourn) 272 813 Cyclotomy (Colbourn) 278 831 Cyclotomy (Colbourn) 433 868 Cyclotomy shift (AG+TJ+H) 487 974 Cyclotomy shift (AG+TJ+H) 499 999 Cyclotomy mult (Colbourn) 523 1026 Cyclotomy shift (AG+TJ+H) 1051 1051 Cyclotomy (Colbourn) 1069 1069 Cyclotomy (Colbourn) 1087 1087 Cyclotomy (Colbourn) 1093 1093 Cyclotomy (Colbourn) 1117 1119 Cyclotomy (Colbourn) 1123 1123 Cyclotomy (Colbourn) 1129 1129 Cyclotomy (Colbourn) 1171 1171 Cyclotomy (Colbourn) 1213 1213 Cyclotomy (Colbourn) 1231 1231 Cyclotomy (Colbourn) 1249 1249 Cyclotomy (Colbourn) 1279 1279 Cyclotomy (Colbourn) 1291 1291 Cyclotomy (Colbourn) 1297 1297 Cyclotomy (Colbourn) 1303 1303 Cyclotomy (Colbourn) 1321 1323 Cyclotomy (Colbourn) 1327 1327 Cyclotomy (Colbourn) 1381 1381 Cyclotomy (Colbourn) 1399 1399 Cyclotomy (Colbourn) 1423 1423 Cyclotomy (Colbourn) 1429 1431 Cyclotomy (Colbourn) 1447 1447 Cyclotomy (Colbourn) 1453 1453 Cyclotomy (Colbourn) 1459 1459 Cyclotomy (Colbourn) 1471 1471 Cyclotomy (Colbourn) 1483 1483 Cyclotomy (Colbourn) 1489 1489 Cyclotomy (Colbourn) 1531 1531 Cyclotomy (Colbourn) 1543 1543 Cyclotomy (Colbourn) 1549 1549 Cyclotomy (Colbourn) 1567 1567 Cyclotomy (Colbourn) 1579 1579 Cyclotomy (Colbourn) 1597 1597 Cyclotomy (Colbourn) 1609 1609 Cyclotomy (Colbourn) 1621 1621 Cyclotomy (Colbourn) 1627 1627 Cyclotomy (Colbourn) 1657 1657 Cyclotomy (Colbourn) 1663 1663 Cyclotomy (Colbourn) 1669 1669 Cyclotomy (Colbourn) 1800 1681 Colbourn-Martirosyan-Trung-Walker 1962 1695 Colbourn-Martirosyan-Trung-Walker 1980 1702 Colbourn-Martirosyan-Trung-Walker 2000 1704 Colbourn-Martirosyan-Trung-Walker 2102 1710 Colbourn-Martirosyan-Trung-Walker 2138 1728 Colbourn-Martirosyan-Trung-Walker 2160 1746 Colbourn-Martirosyan-Trung-Walker 2174 1759 Colbourn-Martirosyan-Trung-Walker 2186 1765 Colbourn-Martirosyan-Trung-Walker 2658 1772 Derive from strength 5 2670 1781 Derive from strength 5 2682 1789 Derive from strength 5 2700 1915 Colbourn-Martirosyan-Trung-Walker 2943 1929 Colbourn-Martirosyan-Trung-Walker 2970 1936 Colbourn-Martirosyan-Trung-Walker 3000 1938 Colbourn-Martirosyan-Trung-Walker 3153 1944 Colbourn-Martirosyan-Trung-Walker 3207 1962 Colbourn-Martirosyan-Trung-Walker 3240 1980 Colbourn-Martirosyan-Trung-Walker 3261 1993 Colbourn-Martirosyan-Trung-Walker 3279 1999 Colbourn-Martirosyan-Trung-Walker 3351 2025 Colbourn-Martirosyan-Trung-Walker 3369 2029 Colbourn-Martirosyan-Trung-Walker 3387 2035 Colbourn-Martirosyan-Trung-Walker 3468 2077 Colbourn-Martirosyan-Trung-Walker 3513 2095 Colbourn-Martirosyan-Trung-Walker 3537 2137 Colbourn-Martirosyan-Trung-Walker 3549 2140 Colbourn-Martirosyan-Trung-Walker 3600 2144 Colbourn-Martirosyan-Trung-Walker 3639 2150 Colbourn-Martirosyan-Trung-Walker 3693 2168 Colbourn-Martirosyan-Trung-Walker 3747 2186 Colbourn-Martirosyan-Trung-Walker 3822 2216 Colbourn-Martirosyan-Trung-Walker 3834 2217 Colbourn-Martirosyan-Trung-Walker 3837 2219 Colbourn-Martirosyan-Trung-Walker 3873 2231 Colbourn-Martirosyan-Trung-Walker 3888 2237 Colbourn-Martirosyan-Trung-Walker 3891 2243 Colbourn-Martirosyan-Trung-Walker 3909 2249 Colbourn-Martirosyan-Trung-Walker 3963 2269 Colbourn-Martirosyan-Trung-Walker 3972 2273 Colbourn-Martirosyan-Trung-Walker 3981 2274 Colbourn-Martirosyan-Trung-Walker 4000 2304 Colbourn-Martirosyan-Trung-Walker 4204 2313 Colbourn-Martirosyan-Trung-Walker 4276 2331 Colbourn-Martirosyan-Trung-Walker 4320 2349 Colbourn-Martirosyan-Trung-Walker 4348 2365 Colbourn-Martirosyan-Trung-Walker 4372 2371 Colbourn-Martirosyan-Trung-Walker 4468 2397 Colbourn-Martirosyan-Trung-Walker 4492 2401 Colbourn-Martirosyan-Trung-Walker 4516 2407 Colbourn-Martirosyan-Trung-Walker 4624 2449 Colbourn-Martirosyan-Trung-Walker 4684 2475 Colbourn-Martirosyan-Trung-Walker 4716 2517 Colbourn-Martirosyan-Trung-Walker 4732 2520 Colbourn-Martirosyan-Trung-Walker 4800 2524 Colbourn-Martirosyan-Trung-Walker 4852 2533 Colbourn-Martirosyan-Trung-Walker 5004 2545 Colbourn-Martirosyan-Trung-Walker 5184 2546 Colbourn-Martirosyan-Trung-Walker 5316 2547 Colbourn-Martirosyan-Trung-Walker 5340 2556 Colbourn-Martirosyan-Trung-Walker 5346 2564 Colbourn-Martirosyan-Trung-Walker 5364 2567 Colbourn-Martirosyan-Trung-Walker 5400 2686 Colbourn-Martirosyan-Trung-Walker 5481 2705 Colbourn-Martirosyan-Trung-Walker 5616 2707 Colbourn-Martirosyan-Trung-Walker 5670 2719 Colbourn-Martirosyan-Trung-Walker 5724 2720 Colbourn-Martirosyan-Trung-Walker 5886 2721 Colbourn-Martirosyan-Trung-Walker 5940 2728 Colbourn-Martirosyan-Trung-Walker 6000 2730 Colbourn-Martirosyan-Trung-Walker 6272 2736 Colbourn-Martirosyan-Trung-Walker 6306 2748 Colbourn-Martirosyan-Trung-Walker 6414 2766 Colbourn-Martirosyan-Trung-Walker 6480 2784 Colbourn-Martirosyan-Trung-Walker 6522 2797 Colbourn-Martirosyan-Trung-Walker 6558 2803 Colbourn-Martirosyan-Trung-Walker 6825 2813 Colbourn-Martirosyan-Trung-Walker 7098 2814 Colbourn-Martirosyan-Trung-Walker 7506 2815 Colbourn-Martirosyan-Trung-Walker 7776 2816 Colbourn-Martirosyan-Trung-Walker 7974 2817 Colbourn-Martirosyan-Trung-Walker 8010 2826 Colbourn-Martirosyan-Trung-Walker 8019 2834 Colbourn-Martirosyan-Trung-Walker 8046 2837 Colbourn-Martirosyan-Trung-Walker 8100 2963 Colbourn-Martirosyan-Trung-Walker 8190 2977 Colbourn-Martirosyan-Trung-Walker 8232 2978 Colbourn-Martirosyan-Trung-Walker 8289 2990 Colbourn-Martirosyan-Trung-Walker 8829 2991 Colbourn-Martirosyan-Trung-Walker 8910 2998 Colbourn-Martirosyan-Trung-Walker 9000 3000 Colbourn-Martirosyan-Trung-Walker 9408 3006 Colbourn-Martirosyan-Trung-Walker 9459 3018 Colbourn-Martirosyan-Trung-Walker 9621 3036 Colbourn-Martirosyan-Trung-Walker 9720 3054 Colbourn-Martirosyan-Trung-Walker 9783 3067 Colbourn-Martirosyan-Trung-Walker 9837 3073 Colbourn-Martirosyan-Trung-Walker 10000 3099 Colbourn-Martirosyan-Trung-Walker

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