Table for CAN(6,k,4) for k up to 10000

Last Updated Fri Sep 20 11:45:18 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;6,k,4) 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).

Change t: - Change v: - + or go to Global Menu.

k N Source 7 4096 orthogonal array 8 7225 composition 11 8188 Walker-Colbourn 12 14284 Add 1 factors 15 16384 composition 16 20792 Density Mult Cyclic (Colbourn) postop NCK 17 22096 Density Mult Cyclic (Colbourn) 18 23236 Density Mult Cyclic (Colbourn) 19 24364 Density Mult Cyclic (Colbourn) 20 25420 Density Mult Cyclic (Colbourn) 21 26500 Density Mult Cyclic (Colbourn) 22 29640 IPOG-F (NIST) 23 30636 IPOG-F (NIST) 24 31591 IPOG-F (NIST) 25 32501 IPOG-F (NIST) 26 33369 IPOG-F (NIST) 27 34187 IPOG-F (NIST) 28 35006 IPOG-F (NIST) 29 35791 IPOG-F (NIST) 30 36570 IPOG-F (NIST) 31 37305 IPOG-F (NIST) 32 38015 IPOG-F (NIST) 33 38695 IPOG-F (NIST) 34 39356 IPOG-F (NIST) 35 40002 IPOG-F (NIST) 36 40638 IPOG-F (NIST) 37 55806 Add 1 factors 38 63102 Add 2 factors 39 69054 Add 3 factors 40 72126 Add 4 factors 41 87294 Add 1 factors 42 94782 Add 4 factors 43 100734 Add 4 factors 44 106110 Add 4 factors 45 121806 Add 4 factors 46 128289 Martirosyan-Tran van Trung 48 129805 Martirosyan-Tran van Trung 50 133249 Martirosyan-Tran van Trung 52 134585 Martirosyan-Tran van Trung 54 135871 Martirosyan-Tran van Trung 56 139110 Martirosyan-Tran van Trung 58 140291 Martirosyan-Tran van Trung 60 141466 Martirosyan-Tran van Trung 62 144621 Martirosyan-Tran van Trung 64 161315 Martirosyan-Tran van Trung 66 162355 Martirosyan-Tran van Trung 68 163376 Martirosyan-Tran van Trung 70 164418 Martirosyan-Tran van Trung 72 167834 Martirosyan-Tran van Trung 73 180186 Power CT13^2Arc(12):6 twos,0 ones 74 183398 Martirosyan-Tran van Trung 76 186282 Power CT13^2Arc(12):5 twos,1 ones 79 188382 Power CT13^2Arc(10):5 twos,0 ones 80 192378 Power CT13^2Arc(12):4 twos,2 ones 84 194478 Power CT13^2Arc(10):4 twos,1 ones 89 196578 Power CT13^2Arc(8):4 twos,0 ones 90 200574 Power CT13^2Arc(10):3 twos,2 ones 96 202674 Power CT13^2Arc(8):3 twos,1 ones 103 204774 Power CT13^2Arc(6):3 twos,0 ones 104 208770 Power CT13^2Arc(8):2 twos,2 ones 112 210870 Power CT13^2Arc(6):2 twos,1 ones 121 212970 Power CT13^2T2T2 122 216966 Power CT13^2Arc(2)T2 132 219066 Power CT13^2T2T1 143 221166 Power CT13^2T2 144 225162 Power CT13^2T1T1 156 227262 Power CT13^2T1 171 229362 Power CT13^2+2 172 251538 Add 1 factors 175 264626 Power CT16^2Arc(6) 186 269034 Power CT16^2Arc(5) 198 273442 Power CT16^2Arc(4) 211 277850 Power CT16^2Arc(3) 225 282258 Power CT16^2T1T1 240 286666 Power CT16^2T1 256 291074 Power CT16^2 272 308026 Power CT17^2T1 289 309330 Power CT17^2 290 325290 Power CT17^2+1 291 336570 Power CT19^2Arc(4) 304 337510 Power CT19^2T3 306 337686 Power CT19^2T2T1 307 337698 Power CT19^2Arc(3) 323 338814 Power CT19^2T2 324 338826 Power CT19^2T1T1 342 339954 Power CT19^2T1 361 341082 Power CT19^2 362 355866 Power CT19^2+1 363 370986 Power CT19^2+2 364 392922 Add 3 factors 365 395994 Add 4 factors 366 410970 Add 4 factors 369 412346 Power CT23^2Arc(8):4 twos,0 ones 370 414490 Power CT23^2Arc(10):3 twos,2 ones 384 415402 Power CT23^2Arc(6):2 twos,0 ones 3 ext 386 415486 Power CT23^2Arc(8):3 twos,1 ones 403 416482 Power CT23^2Arc(6):3 twos,0 ones 404 418626 Power CT23^2Arc(8):2 twos,2 ones 420 419538 Power CT23^2T3T2 422 419622 Power CT23^2Arc(6):2 twos,1 ones 441 420618 Power CT23^2T2T2 442 422762 Power CT23^2Arc(2)T2 460 423674 Power CT23^2T3 462 423758 Power CT23^2T2T1 483 424754 Power CT23^2T2 484 426898 Power CT23^2T1T1 506 427894 Power CT23^2T1 529 428890 Power CT23^2 530 442260 Power CT23^2+1 531 451360 Power CT25^2Arc(4) 550 452139 Power CT25^2T3 552 452225 Power CT25^2T2T1 553 452270 Power CT25^2Arc(3) 575 453135 Power CT25^2T2 576 453180 Power CT25^2T1T1 600 454090 Power CT25^2T1 625 455000 Power CT25^2 626 467152 Power CT25^2+1 627 475332 Power CT27^2Arc(4) 648 476008 Power CT27^2T3 650 476100 Power CT27^2T2T1 651 476150 Power CT27^2Arc(3) 675 476918 Power CT27^2T2 676 476968 Power CT27^2T1T1 702 477786 Power CT27^2T1 729 478604 Power CT27^2 730 490070 Power CT27^2+1 731 497920 Power CT29^2Arc(4) 754 498638 Power CT29^2T3 756 498671 Power CT29^2T2T1 757 498705 Power CT29^2Arc(3) 783 499456 Power CT29^2T2 784 499490 Power CT29^2T1T1 812 500275 Power CT29^2T1 841 501060 Power CT29^2 842 511966 Power CT29^2+1 843 519316 Power CT31^2Arc(4) 868 519957 Power CT31^2T3 870 520007 Power CT31^2T2T1 871 520051 Power CT31^2Arc(3) 899 520742 Power CT31^2T2 900 520786 Power CT31^2T1T1 930 521521 Power CT31^2T1 961 522256 Power CT31^2 992 531486 Power CT32^2T1 1024 532196 Power CT32^2 1025 541716 Power CT32^2+1 1026 550970 Power CT32^2+2 1027 560014 Power CT32^2+3 1028 568918 Power CT32^2 +4 1029 615754 Add 1 factors 1044 629590 Power CT37^2Arc(10) 1072 644758 Power CT37^2Arc(9) 1101 659926 Power CT37^2Arc(8) 1131 675094 Power CT37^2Arc(7) 1162 690262 Power CT37^2Arc(6) 1194 705430 Power CT37^2Arc(5) 1227 720598 Power CT37^2Arc(4) 1261 735766 Power CT37^2Arc(3) 1296 750934 Power CT37^2T1T1 1332 766102 Power CT37^2T1 1369 781270 Power CT37^2 1370 830926 Add 1 factors 1452 851121 Power CT27^3T16T16T15 1815 853221 Power CT27^3T16T16T12 1936 857629 Power CT27^3T16T16T11 2057 858933 Power CT27^3T16T16T10 2178 860073 Power CT27^3T16T16T9 2299 861201 Power CT27^3T16T16T8 2475 861417 Power CT27^3T16T12T12 2541 863337 Power CT27^3T16T16T6 2640 865825 Power CT27^3T16T12T11 2662 866477 Power CT27^3T16T16T5 2805 867129 Power CT27^3T16T12T10 2970 868269 Power CT27^3T16T12T9 3025 869338 Power CT27^3T16T16T2 3135 869397 Power CT27^3T16T12T8 3375 869613 Power CT27^3T12T12T12 3465 871533 Power CT27^3T16T12T6 3600 874021 Power CT27^3T12T12T11 3630 874673 Power CT27^3T16T12T5 3825 875325 Power CT27^3T12T12T10 3872 875755 Power CT27^3T16S26 4050 876465 Power CT27^3T12T12T9 4125 877534 Power CT27^3T16T12T2 4275 877593 Power CT27^3T12T12T8 4290 878402 Power CT27^3T16T12T1 4500 878649 Power CT27^3T12T12T7 4725 879729 Power CT27^3T12T12T6 4851 881649 Power CT27^3T16T6T6 4950 882869 Power CT27^3T12T12T5 5175 883865 Power CT27^3T12T12T4 5280 883951 Power CT27^3T12S26 5310 884769 Power CT27^3T12S25 5400 884820 Power CT27^3T12T12T3 5415 885573 Power CT27^3T12T8T8 5625 885730 Power CT27^3T12T12T2 5670 886581 Power CT27^3T12T9T6 5850 886598 Power CT27^3T12T12T1 6075 887416 Power CT27^3T12T12 6300 888765 Power CT27^3T12T7T6 6615 889845 Power CT27^3T12T6T6 6688 891931 Power CT27^3T8S26 6750 892582 Power CT27^3T12T9T2 6840 892800 Power CT27^3T12T8T3 6900 892901 Power CT27^3T12T7T4 6930 892985 Power CT27^3T12T6T5 7040 892987 Power CT27^3T7S26 7125 893710 Power CT27^3T12T8T2 7200 893856 Power CT27^3T12T7T3 7245 893981 Power CT27^3T12T6T4 7392 894067 Power CT27^3T6S26 7410 894578 Power CT27^3T12T8T1 7500 894766 Power CT27^3T12T7T2 7560 894936 Power CT27^3T12T6T3 7695 895396 Power CT27^3T12T8 7800 895634 Power CT27^3T12T7T1 7875 895846 Power CT27^3T12T6T2 8100 896452 Power CT27^3T12T7 8190 896714 Power CT27^3T12T6T1 8505 897532 Power CT27^3T12T6 8820 898881 Power CT27^3T7T6T6 9261 899961 Power CT27^3T6T6T6 9315 901668 Power CT27^3T12T4 9360 901805 Power CT27^3T12T3T1 9375 901847 Power CT27^3T12T2T2 9405 901947 Power CT27^3T12S4 9720 902623 Power CT27^3T12T3 9750 902715 Power CT27^3T12T2T1 9765 902765 Power CT27^3T12S3 10000 903533 Power CT27^3T12T2

Graph: