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

Last Updated Sat Nov 14 06:42:46 MST 2009

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 orthogonal array 6 111 cross-sum (CKRS) 7 123 cross-sum (CKRS) 8 141 cross-sum (CKRS) 10 159 Sherwood-Martirosyan-Colbourn, Walker 11 183 cross-sum (CKRS) 12 201 cross-sum (CKRS) 13 219 cross-sum (CKRS) 16 237 Sherwood-Martirosyan-Colbourn, Walker 17 300 Density (Linnemann-Frewer) postop NCK 23 315 Sherwood-Martirosyan-Colbourn, Walker 24 377 Density (Linnemann-Frewer) postop NCK 30 393 Sherwood-Martirosyan-Colbourn, Walker 31 440 Density (Linnemann-Frewer) postop NCK 32 445 Density (Linnemann-Frewer) postop NCK 33 454 Density (Linnemann-Frewer) postop NCK 34 462 Density (Linnemann-Frewer) postop NCK 39 471 Sherwood-Martirosyan-Colbourn, Walker 40 499 Density (Linnemann-Frewer) postop NCK 41 506 Density (Linnemann-Frewer) postop NCK 42 509 Density (Linnemann-Frewer) postop NCK 43 518 Density (Linnemann-Frewer) postop NCK 44 522 Density (Linnemann-Frewer) postop NCK 45 526 Density (Linnemann-Frewer) postop NCK 46 530 Density (Linnemann-Frewer) postop NCK 47 534 Density (Linnemann-Frewer) postop NCK 48 542 Density (Linnemann-Frewer) postop NCK 51 549 Sherwood-Martirosyan-Colbourn, Walker 52 560 Density (Linnemann-Frewer) postop NCK 53 565 Density (Linnemann-Frewer) postop NCK 54 568 Density (Linnemann-Frewer) postop NCK 55 572 Density (Linnemann-Frewer) postop NCK 56 578 Density (Linnemann-Frewer) postop NCK 57 581 Density (Linnemann-Frewer) postop NCK 58 585 Density (Linnemann-Frewer) postop NCK 59 589 Density (Linnemann-Frewer) postop NCK 61 596 Density (Linnemann-Frewer) postop NCK 63 604 Density (Linnemann-Frewer) postop NCK 64 612 Density (Linnemann-Frewer) postop NCK 65 617 IPOG-F (NIST) 66 618 Density (Linnemann-Frewer) postop NCK 67 623 IPOG-F (NIST) 70 627 Density (Linnemann-Frewer) postop NCK 71 638 IPOG-F (NIST) 72 639 IPOG-F (NIST) 73 642 IPOG-F (NIST) 74 645 IPOG-F (NIST) 75 648 IPOG-F (NIST) 76 653 IPOG-F (NIST) 78 657 IPOG-F (NIST) 79 659 IPOG-F (NIST) 80 663 IPOG-F (NIST) 81 666 IPOG-F (NIST) 82 668 IPOG-F (NIST) 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) 1693 1693 Cyclotomy (Colbourn) 1699 1699 Cyclotomy (Colbourn) 1723 1723 Cyclotomy (Colbourn) 1741 1741 Cyclotomy (Colbourn) 1747 1747 Cyclotomy (Colbourn) 1753 1753 Cyclotomy (Colbourn) 1759 1759 Cyclotomy (Colbourn) 1777 1777 Cyclotomy (Colbourn) 1936 1780 Colbourn-Martirosyan-Trung-Walker 1962 1786 Colbourn-Martirosyan-Trung-Walker 1980 1794 Colbourn-Martirosyan-Trung-Walker 2000 1802 Colbourn-Martirosyan-Trung-Walker 2102 1810 Colbourn-Martirosyan-Trung-Walker 2138 1828 Colbourn-Martirosyan-Trung-Walker 2174 1846 Colbourn-Martirosyan-Trung-Walker 2186 1852 Colbourn-Martirosyan-Trung-Walker 2234 1878 Colbourn-Martirosyan-Trung-Walker 2246 1882 Colbourn-Martirosyan-Trung-Walker 2258 1888 Colbourn-Martirosyan-Trung-Walker 2342 1930 Colbourn-Martirosyan-Trung-Walker 2426 1972 Colbourn-Martirosyan-Trung-Walker 2462 1990 Colbourn-Martirosyan-Trung-Walker 2498 2008 Colbourn-Martirosyan-Trung-Walker 2541 2037 Colbourn-Martirosyan-Trung-Walker 2556 2038 Colbourn-Martirosyan-Trung-Walker 2673 2041 Colbourn-Martirosyan-Trung-Walker 2904 2049 Colbourn-Martirosyan-Trung-Walker 2943 2055 Colbourn-Martirosyan-Trung-Walker 2970 2063 Colbourn-Martirosyan-Trung-Walker 3153 2071 Colbourn-Martirosyan-Trung-Walker 3207 2089 Colbourn-Martirosyan-Trung-Walker 3261 2107 Colbourn-Martirosyan-Trung-Walker 3279 2113 Colbourn-Martirosyan-Trung-Walker 3351 2139 Colbourn-Martirosyan-Trung-Walker 3369 2143 Colbourn-Martirosyan-Trung-Walker 3387 2149 Colbourn-Martirosyan-Trung-Walker 3483 2191 Colbourn-Martirosyan-Trung-Walker 3513 2199 Colbourn-Martirosyan-Trung-Walker 3639 2241 Colbourn-Martirosyan-Trung-Walker 3693 2259 Colbourn-Martirosyan-Trung-Walker 3747 2277 Colbourn-Martirosyan-Trung-Walker 3834 2307 Colbourn-Martirosyan-Trung-Walker 3837 2313 Colbourn-Martirosyan-Trung-Walker 3873 2325 Colbourn-Martirosyan-Trung-Walker 3891 2331 Colbourn-Martirosyan-Trung-Walker 3909 2337 Colbourn-Martirosyan-Trung-Walker 3963 2357 Colbourn-Martirosyan-Trung-Walker 3981 2361 Colbourn-Martirosyan-Trung-Walker 3996 2415 Colbourn-Martirosyan-Trung-Walker 3999 2451 Colbourn-Martirosyan-Trung-Walker 4044 2479 Colbourn-Martirosyan-Trung-Walker 4143 2481 Colbourn-Martirosyan-Trung-Walker 4158 2499 Colbourn-Martirosyan-Trung-Walker 4204 2507 Colbourn-Martirosyan-Trung-Walker 4276 2525 Colbourn-Martirosyan-Trung-Walker 4348 2543 Colbourn-Martirosyan-Trung-Walker 4372 2549 Colbourn-Martirosyan-Trung-Walker 4468 2575 Colbourn-Martirosyan-Trung-Walker 4492 2579 Colbourn-Martirosyan-Trung-Walker 4516 2585 Colbourn-Martirosyan-Trung-Walker 4684 2627 Colbourn-Martirosyan-Trung-Walker 4852 2669 Colbourn-Martirosyan-Trung-Walker 4924 2687 Colbourn-Martirosyan-Trung-Walker 4996 2705 Colbourn-Martirosyan-Trung-Walker 5112 2735 Colbourn-Martirosyan-Trung-Walker 5116 2743 Colbourn-Martirosyan-Trung-Walker 5164 2755 Colbourn-Martirosyan-Trung-Walker 5188 2761 Colbourn-Martirosyan-Trung-Walker 5212 2767 Colbourn-Martirosyan-Trung-Walker 5284 2787 Colbourn-Martirosyan-Trung-Walker 5308 2791 Colbourn-Martirosyan-Trung-Walker 5328 2845 Colbourn-Martirosyan-Trung-Walker 5332 2899 Colbourn-Martirosyan-Trung-Walker 5334 2930 Colbourn-Martirosyan-Trung-Walker 5418 2932 Colbourn-Martirosyan-Trung-Walker 5490 2940 Colbourn-Martirosyan-Trung-Walker 5598 2942 Colbourn-Martirosyan-Trung-Walker 5754 2944 Colbourn-Martirosyan-Trung-Walker 5778 2946 Colbourn-Martirosyan-Trung-Walker 5808 2948 Colbourn-Martirosyan-Trung-Walker 5838 2954 Colbourn-Martirosyan-Trung-Walker 5886 2956 Colbourn-Martirosyan-Trung-Walker 5919 2964 Colbourn-Martirosyan-Trung-Walker 5940 2966 Colbourn-Martirosyan-Trung-Walker 6000 2974 Colbourn-Martirosyan-Trung-Walker 6306 2998 Colbourn-Martirosyan-Trung-Walker 6414 3016 Colbourn-Martirosyan-Trung-Walker 6522 3034 Colbourn-Martirosyan-Trung-Walker 6558 3040 Colbourn-Martirosyan-Trung-Walker 6561 3066 Colbourn-Martirosyan-Trung-Walker 6702 3090 Colbourn-Martirosyan-Trung-Walker 6738 3094 Colbourn-Martirosyan-Trung-Walker 6774 3100 Colbourn-Martirosyan-Trung-Walker 6966 3142 Colbourn-Martirosyan-Trung-Walker 7026 3150 Colbourn-Martirosyan-Trung-Walker 7084 3185 Colbourn-Martirosyan-Trung-Walker 7357 3186 Colbourn-Martirosyan-Trung-Walker 7483 3204 Colbourn-Martirosyan-Trung-Walker 7609 3222 Colbourn-Martirosyan-Trung-Walker 7651 3228 Colbourn-Martirosyan-Trung-Walker 7744 3251 Colbourn-Martirosyan-Trung-Walker 7819 3254 Colbourn-Martirosyan-Trung-Walker 7861 3258 Colbourn-Martirosyan-Trung-Walker 8408 3263 Colbourn-Martirosyan-Trung-Walker 8552 3281 Colbourn-Martirosyan-Trung-Walker 8712 3285 Colbourn-Martirosyan-Trung-Walker 8829 3291 Colbourn-Martirosyan-Trung-Walker 8910 3299 Colbourn-Martirosyan-Trung-Walker 9459 3307 Colbourn-Martirosyan-Trung-Walker 9576 3325 Colbourn-Martirosyan-Trung-Walker 9621 3337 Colbourn-Martirosyan-Trung-Walker 9783 3355 Colbourn-Martirosyan-Trung-Walker 9837 3361 Colbourn-Martirosyan-Trung-Walker 10000 3387 Colbourn-Martirosyan-Trung-Walker

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