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

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 11 159 CPHF 3-stage (TJ-IM) 12 189 Torres-Jimenez 13 212 Torres-Jimenez 15 231 2-Restricted SCPHF RE (CL) 17 237 SCPHF Sim Annealing (TJ-IM) 20 271 CPHF 3-stage (TJ-IM) 21 278 CPHF 3-stage (TJ-IM) 22 288 CPHF 3-stage (TJ-IM) 23 296 CPHF 3-stage (TJ-IM) 27 337 CPHF 3-stage (TJ-IM) 28 353 CPHF 3-stage (TJ-IM) 30 361 CPHF 3-stage (TJ-IM) 33 378 CPHF 3-stage (TJ-IM) 34 380 CPHF 3-stage (TJ-IM) 35 389 CPHF 3-stage (TJ-IM) 36 396 CPHF 3-stage (TJ-IM) 37 403 CPHF 3-stage (TJ-IM) 40 420 CPHF 3-stage (TJ-IM) 41 436 CPHF 3-stage (TJ-IM) 42 441 CPHF 3-stage (TJ-IM) 43 450 CPHF 3-stage (TJ-IM) 44 453 CPHF 3-stage (TJ-IM) 45 454 CPHF 3-stage (TJ-IM) 46 463 CPHF 3-stage (TJ-IM) 47 465 CPHF 3-stage (TJ-IM) 48 471 CPHF 3-stage (TJ-IM) 49 484 CPHF 3-stage (TJ-IM) 51 488 CPHF 3-stage (TJ-IM) 53 506 CPHF 3-stage (TJ-IM) 54 509 CPHF 3-stage (TJ-IM) 55 512 PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK 57 516 CPHF 3-stage (TJ-IM) 58 522 PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK 60 526 CPHF 3-stage (TJ-IM) 63 531 PGL (Maity-Akhtar-Chandrasekharan-Colbourn) 66 546 CPHF 3-stage (TJ-IM) 67 548 PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK 70 559 CPHF 3-stage (TJ-IM) 71 566 CPHF 3-stage (TJ-IM) 72 567 PGL (Maity-Akhtar-Chandrasekharan-Colbourn) 74 573 CPHF 3-stage (TJ-IM) 76 577 CPHF 3-stage (TJ-IM) 78 579 CPHF 3-stage (TJ-IM) 81 596 CPHF 3-stage (TJ-IM) 82 602 CPHF 3-stage (TJ-IM) 85 605 CPHF 3-stage (TJ-IM) 88 614 CPHF 3-stage (TJ-IM) 92 624 CPHF 3-stage (TJ-IM) 94 630 CPHF 3-stage (TJ-IM) 97 637 CPHF 3-stage (TJ-IM) 99 639 CPHF 3-stage (TJ-IM) 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) 1693 1693 Cyclotomy (Colbourn) 1699 1699 Cyclotomy (Colbourn) 1800 1723 Colbourn-Martirosyan-TVT-Walker 1962 1731 Colbourn-Martirosyan-TVT-Walker 1980 1738 Colbourn-Martirosyan-TVT-Walker 2028 1740 Colbourn-Martirosyan-TVT-Walker 2102 1752 Colbourn-Martirosyan-TVT-Walker 2138 1770 Colbourn-Martirosyan-TVT-Walker 2658 1772 Derive from strength 5 2670 1781 Derive from strength 5 2682 1789 Derive from strength 5 2700 1957 Colbourn-Martirosyan-TVT-Walker 2943 1965 Colbourn-Martirosyan-TVT-Walker 2970 1972 Colbourn-Martirosyan-TVT-Walker 3042 1974 Colbourn-Martirosyan-TVT-Walker 3153 1986 Colbourn-Martirosyan-TVT-Walker 3207 2004 Colbourn-Martirosyan-TVT-Walker 3240 2022 Colbourn-Martirosyan-TVT-Walker 3261 2029 Colbourn-Martirosyan-TVT-Walker 3279 2035 Colbourn-Martirosyan-TVT-Walker 3351 2061 Colbourn-Martirosyan-TVT-Walker 3369 2065 Colbourn-Martirosyan-TVT-Walker 3387 2071 Colbourn-Martirosyan-TVT-Walker 3468 2113 Colbourn-Martirosyan-TVT-Walker 3513 2131 Colbourn-Martirosyan-TVT-Walker 3537 2173 Colbourn-Martirosyan-TVT-Walker 3549 2176 Colbourn-Martirosyan-TVT-Walker 3639 2180 Colbourn-Martirosyan-TVT-Walker 3693 2198 Colbourn-Martirosyan-TVT-Walker 3747 2216 Colbourn-Martirosyan-TVT-Walker 3822 2246 Colbourn-Martirosyan-TVT-Walker 3834 2247 Colbourn-Martirosyan-TVT-Walker 3837 2249 Colbourn-Martirosyan-TVT-Walker 3873 2261 Colbourn-Martirosyan-TVT-Walker 3891 2267 Colbourn-Martirosyan-TVT-Walker 3909 2273 Colbourn-Martirosyan-TVT-Walker 3963 2293 Colbourn-Martirosyan-TVT-Walker 3972 2297 Colbourn-Martirosyan-TVT-Walker 3981 2298 Colbourn-Martirosyan-TVT-Walker 6982 2327 Derive from strength 5 7012 2337 Derive from strength 5 7013 2571 Add a factor 7014 2625 Add a factor 7098 2850 Colbourn-Martirosyan-TVT-Walker 7506 2851 Colbourn-Martirosyan-TVT-Walker 7776 2852 Colbourn-Martirosyan-TVT-Walker 7974 2853 Colbourn-Martirosyan-TVT-Walker 8010 2862 Colbourn-Martirosyan-TVT-Walker 8019 2870 Colbourn-Martirosyan-TVT-Walker 8046 2873 Colbourn-Martirosyan-TVT-Walker 8100 3041 Colbourn-Martirosyan-TVT-Walker 8190 3049 Colbourn-Martirosyan-TVT-Walker 8232 3050 Colbourn-Martirosyan-TVT-Walker 8289 3062 Colbourn-Martirosyan-TVT-Walker 8829 3063 Colbourn-Martirosyan-TVT-Walker 8910 3070 Colbourn-Martirosyan-TVT-Walker 9126 3072 Colbourn-Martirosyan-TVT-Walker 9408 3084 Colbourn-Martirosyan-TVT-Walker 9459 3096 Colbourn-Martirosyan-TVT-Walker 9621 3114 Colbourn-Martirosyan-TVT-Walker 9720 3132 Colbourn-Martirosyan-TVT-Walker 9783 3139 Colbourn-Martirosyan-TVT-Walker 9837 3145 Colbourn-Martirosyan-TVT-Walker 10000 3171 Colbourn-Martirosyan-TVT-Walker
Graph: