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

Last Updated Tue Jan 31 05:19:41 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;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) 8 141 cross-sum (CKRS) 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 17 297 Walker-Colbourn postop NCK 18 307 Walker-Colbourn postop NCK 19 313 Walker-Colbourn postop NCK 23 315 Walker-Colbourn 24 364 Density Cyclic (Colbourn) postop NCK 25 371 Density Cyclic (Colbourn) postop NCK 26 375 Density Cyclic (Colbourn) postop NCK 27 386 Density Cyclic (Colbourn) postop NCK 30 393 Walker-Colbourn 31 418 Density Cyclic (Colbourn) postop NCK 32 422 Density Cyclic (Colbourn) postop NCK 33 428 Density Cyclic (Colbourn) postop NCK 34 432 Density Cyclic (Colbourn) postop NCK 35 439 Density Cyclic (Colbourn) postop NCK 36 446 Density Cyclic (Colbourn) postop NCK 37 450 Density Cyclic (Colbourn) postop NCK 38 457 Density Cyclic (Colbourn) postop NCK 39 465 Density Cyclic (Colbourn) 40 468 Density Cyclic (Colbourn) 41 474 Density Cyclic (Colbourn) 42 477 Density Cyclic (Colbourn) 43 483 Density Cyclic (Colbourn) 44 486 Density Cyclic (Colbourn) 45 492 Density Cyclic (Colbourn) 46 495 Density Cyclic (Colbourn) 47 501 Density Cyclic (Colbourn) 48 504 Density Cyclic (Colbourn) 49 510 Density Cyclic (Colbourn) 50 516 Density Cyclic (Colbourn) 52 519 Density Cyclic (Colbourn) 53 525 Density Cyclic (Colbourn) 54 528 Density Cyclic (Colbourn) 55 531 Density Cyclic (Colbourn) 56 537 Density Cyclic (Colbourn) 58 540 Density Cyclic (Colbourn) 59 546 Density Cyclic (Colbourn) 60 549 Density Cyclic (Colbourn) 61 552 Density Cyclic (Colbourn) 63 558 Density Cyclic (Colbourn) 64 561 Density Cyclic (Colbourn) 65 564 Density Cyclic (Colbourn) 66 567 Density Cyclic (Colbourn) 68 576 Density Cyclic (Colbourn) 69 579 Density Cyclic (Colbourn) 70 582 Density Cyclic (Colbourn) 72 588 Density Cyclic (Colbourn) 74 591 Density Cyclic (Colbourn) 75 597 Density Cyclic (Colbourn) 77 603 Density Cyclic (Colbourn) 80 609 Density Cyclic (Colbourn) 81 612 Density Cyclic (Colbourn) 83 618 Density Cyclic (Colbourn) 84 621 Density Cyclic (Colbourn) 85 624 Density Cyclic (Colbourn) 89 630 Density Cyclic (Colbourn) 92 639 Density Cyclic (Colbourn) 96 645 Density Cyclic (Colbourn) 100 657 Density Cyclic (Colbourn) 224 669 Cyclotomy (Colbourn) 230 687 Cyclotomy (Colbourn) 272 813 Cyclotomy (Colbourn) 278 831 Cyclotomy (Colbourn) 308 921 Cyclotomy (Colbourn) 314 939 Cyclotomy (Colbourn) 315 968 IPOG-F (NIST) 317 969 IPOG-F (NIST) 320 971 IPOG-F (NIST) 322 974 IPOG-F (NIST) 323 975 IPOG-F (NIST) 326 976 IPOG-F (NIST) 327 977 IPOG-F (NIST) 328 978 IPOG-F (NIST) 330 979 IPOG-F (NIST) 332 981 IPOG-F (NIST) 336 983 IPOG-F (NIST) 337 984 IPOG-F (NIST) 338 985 IPOG-F (NIST) 339 986 IPOG-F (NIST) 342 987 IPOG-F (NIST) 344 990 IPOG-F (NIST) 345 991 IPOG-F (NIST) 349 992 IPOG-F (NIST) 351 993 IPOG-F (NIST) 353 994 IPOG-F (NIST) 354 995 IPOG-F (NIST) 355 996 IPOG-F (NIST) 358 997 IPOG-F (NIST) 360 999 IPOG-F (NIST) 362 1001 IPOG-F (NIST) 364 1002 IPOG-F (NIST) 365 1003 IPOG-F (NIST) 366 1005 IPOG-F (NIST) 368 1007 IPOG-F (NIST) 371 1008 IPOG-F (NIST) 376 1009 IPOG-F (NIST) 377 1011 IPOG-F (NIST) 380 1013 IPOG-F (NIST) 384 1015 IPOG-F (NIST) 385 1016 IPOG-F (NIST) 388 1017 IPOG-F (NIST) 390 1019 IPOG-F (NIST) 393 1021 IPOG-F (NIST) 394 1023 IPOG-F (NIST) 397 1024 IPOG-F (NIST) 398 1025 IPOG-F (NIST) 400 1026 IPOG-F (NIST) 405 1027 IPOG-F (NIST) 407 1029 IPOG-F (NIST) 411 1031 IPOG-F (NIST) 413 1033 IPOG-F (NIST) 417 1035 IPOG-F (NIST) 419 1037 IPOG-F (NIST) 422 1038 IPOG-F (NIST) 424 1040 IPOG-F (NIST) 428 1041 IPOG-F (NIST) 430 1042 IPOG-F (NIST) 433 1044 IPOG-F (NIST) 439 1046 IPOG-F (NIST) 445 1050 IPOG-F (NIST) 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) 1782 1691 Colbourn-Martirosyan-Trung-Walker 1800 1693 Colbourn-Martirosyan-Trung-Walker 1962 1711 Colbourn-Martirosyan-Trung-Walker 1980 1718 Colbourn-Martirosyan-Trung-Walker 2000 1722 Colbourn-Martirosyan-Trung-Walker 2102 1730 Colbourn-Martirosyan-Trung-Walker 2138 1748 Colbourn-Martirosyan-Trung-Walker 2160 1766 Colbourn-Martirosyan-Trung-Walker 2174 1773 Colbourn-Martirosyan-Trung-Walker 2178 1779 Colbourn-Martirosyan-Trung-Walker 2186 1781 Colbourn-Martirosyan-Trung-Walker 2200 1807 Colbourn-Martirosyan-Trung-Walker 2234 1817 Colbourn-Martirosyan-Trung-Walker 2246 1821 Colbourn-Martirosyan-Trung-Walker 2258 1827 Colbourn-Martirosyan-Trung-Walker 2342 1869 Colbourn-Martirosyan-Trung-Walker 2358 1911 Colbourn-Martirosyan-Trung-Walker 2366 1914 Colbourn-Martirosyan-Trung-Walker 2430 1915 Colbourn-Martirosyan-Trung-Walker 2673 1925 Colbourn-Martirosyan-Trung-Walker 2700 1927 Colbourn-Martirosyan-Trung-Walker 2943 1945 Colbourn-Martirosyan-Trung-Walker 2970 1952 Colbourn-Martirosyan-Trung-Walker 3000 1956 Colbourn-Martirosyan-Trung-Walker 3153 1982 Colbourn-Martirosyan-Trung-Walker 3207 2000 Colbourn-Martirosyan-Trung-Walker 3240 2018 Colbourn-Martirosyan-Trung-Walker 3261 2025 Colbourn-Martirosyan-Trung-Walker 3267 2031 Colbourn-Martirosyan-Trung-Walker 3279 2033 Colbourn-Martirosyan-Trung-Walker 3300 2059 Colbourn-Martirosyan-Trung-Walker 3351 2069 Colbourn-Martirosyan-Trung-Walker 3369 2073 Colbourn-Martirosyan-Trung-Walker 3387 2079 Colbourn-Martirosyan-Trung-Walker 3513 2121 Colbourn-Martirosyan-Trung-Walker 3537 2163 Colbourn-Martirosyan-Trung-Walker 3549 2166 Colbourn-Martirosyan-Trung-Walker 3630 2170 Colbourn-Martirosyan-Trung-Walker 3639 2180 Colbourn-Martirosyan-Trung-Walker 3693 2198 Colbourn-Martirosyan-Trung-Walker 3747 2216 Colbourn-Martirosyan-Trung-Walker 3822 2246 Colbourn-Martirosyan-Trung-Walker 3834 2247 Colbourn-Martirosyan-Trung-Walker 3837 2249 Colbourn-Martirosyan-Trung-Walker 3873 2261 Colbourn-Martirosyan-Trung-Walker 3891 2267 Colbourn-Martirosyan-Trung-Walker 3909 2273 Colbourn-Martirosyan-Trung-Walker 3963 2293 Colbourn-Martirosyan-Trung-Walker 3972 2297 Colbourn-Martirosyan-Trung-Walker 3981 2298 Colbourn-Martirosyan-Trung-Walker 4000 2331 Colbourn-Martirosyan-Trung-Walker 4050 2358 Colbourn-Martirosyan-Trung-Walker 4104 2360 Colbourn-Martirosyan-Trung-Walker 4143 2368 Colbourn-Martirosyan-Trung-Walker 4204 2369 Colbourn-Martirosyan-Trung-Walker 4276 2387 Colbourn-Martirosyan-Trung-Walker 4320 2405 Colbourn-Martirosyan-Trung-Walker 4348 2412 Colbourn-Martirosyan-Trung-Walker 4356 2418 Colbourn-Martirosyan-Trung-Walker 4372 2421 Colbourn-Martirosyan-Trung-Walker 4400 2447 Colbourn-Martirosyan-Trung-Walker 4468 2462 Colbourn-Martirosyan-Trung-Walker 4492 2466 Colbourn-Martirosyan-Trung-Walker 4516 2472 Colbourn-Martirosyan-Trung-Walker 4684 2514 Colbourn-Martirosyan-Trung-Walker 4716 2556 Colbourn-Martirosyan-Trung-Walker 4732 2559 Colbourn-Martirosyan-Trung-Walker 4840 2563 Colbourn-Martirosyan-Trung-Walker 4852 2578 Colbourn-Martirosyan-Trung-Walker 4924 2596 Colbourn-Martirosyan-Trung-Walker 4996 2614 Colbourn-Martirosyan-Trung-Walker 5096 2644 Colbourn-Martirosyan-Trung-Walker 5112 2645 Colbourn-Martirosyan-Trung-Walker 5116 2647 Colbourn-Martirosyan-Trung-Walker 5164 2659 Colbourn-Martirosyan-Trung-Walker 5188 2665 Colbourn-Martirosyan-Trung-Walker 5212 2671 Colbourn-Martirosyan-Trung-Walker 5284 2691 Colbourn-Martirosyan-Trung-Walker 5296 2695 Colbourn-Martirosyan-Trung-Walker 5308 2696 Colbourn-Martirosyan-Trung-Walker 5346 2738 Colbourn-Martirosyan-Trung-Walker 5400 2740 Colbourn-Martirosyan-Trung-Walker 5472 2761 Colbourn-Martirosyan-Trung-Walker 5481 2763 Colbourn-Martirosyan-Trung-Walker 5616 2765 Colbourn-Martirosyan-Trung-Walker 5670 2777 Colbourn-Martirosyan-Trung-Walker 5724 2778 Colbourn-Martirosyan-Trung-Walker 5832 2779 Colbourn-Martirosyan-Trung-Walker 5886 2780 Colbourn-Martirosyan-Trung-Walker 5940 2787 Colbourn-Martirosyan-Trung-Walker 6000 2791 Colbourn-Martirosyan-Trung-Walker 6084 2799 Colbourn-Martirosyan-Trung-Walker 6129 2811 Colbourn-Martirosyan-Trung-Walker 6156 2812 Colbourn-Martirosyan-Trung-Walker 6306 2813 Colbourn-Martirosyan-Trung-Walker 6414 2831 Colbourn-Martirosyan-Trung-Walker 6480 2849 Colbourn-Martirosyan-Trung-Walker 6522 2856 Colbourn-Martirosyan-Trung-Walker 6534 2862 Colbourn-Martirosyan-Trung-Walker 6558 2864 Colbourn-Martirosyan-Trung-Walker 6600 2890 Colbourn-Martirosyan-Trung-Walker 6702 2900 Colbourn-Martirosyan-Trung-Walker 6738 2904 Colbourn-Martirosyan-Trung-Walker 6774 2910 Colbourn-Martirosyan-Trung-Walker 6930 2930 Colbourn-Martirosyan-Trung-Walker 7000 2934 Colbourn-Martirosyan-Trung-Walker 7026 2953 Colbourn-Martirosyan-Trung-Walker 7357 2989 Colbourn-Martirosyan-Trung-Walker 7483 3007 Colbourn-Martirosyan-Trung-Walker 7920 3020 Colbourn-Martirosyan-Trung-Walker 8019 3024 Colbourn-Martirosyan-Trung-Walker 8100 3029 Colbourn-Martirosyan-Trung-Walker 8190 3047 Colbourn-Martirosyan-Trung-Walker 8289 3048 Colbourn-Martirosyan-Trung-Walker 8748 3049 Colbourn-Martirosyan-Trung-Walker 8829 3061 Colbourn-Martirosyan-Trung-Walker 8910 3068 Colbourn-Martirosyan-Trung-Walker 9000 3072 Colbourn-Martirosyan-Trung-Walker 9459 3116 Colbourn-Martirosyan-Trung-Walker 9621 3134 Colbourn-Martirosyan-Trung-Walker 9720 3152 Colbourn-Martirosyan-Trung-Walker 9783 3159 Colbourn-Martirosyan-Trung-Walker 9801 3165 Colbourn-Martirosyan-Trung-Walker 9837 3167 Colbourn-Martirosyan-Trung-Walker 9900 3193 Colbourn-Martirosyan-Trung-Walker 10000 3203 Colbourn-Martirosyan-Trung-Walker

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