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

Last Updated Tue Jan 31 05:20:10 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;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).

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k N Source 7 4096 orthogonal array 8 7225 composition 11 8188 Walker-Colbourn 12 14284 Add a factor 15 16384 composition 16 21524 Density (Colbourn) postop NCK 17 22758 Density (Colbourn) postop NCK 18 23931 Density (Colbourn) postop NCK 19 26392 IPOG-F (NIST) 20 27534 IPOG-F (NIST) 21 28625 IPOG-F (NIST) 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 a factor 38 70974 Add a factor 39 86142 Add a factor 40 101310 Add a factor 41 116478 Add a factor 42 125498 Martirosyan-Tran van Trung 44 127077 Martirosyan-Tran van Trung 46 128667 Martirosyan-Tran van Trung 48 130072 Martirosyan-Tran van Trung 50 133534 Martirosyan-Tran van Trung 52 136040 Martirosyan-Tran van Trung 54 137335 Martirosyan-Tran van Trung 56 140631 Martirosyan-Tran van Trung 58 141857 Martirosyan-Tran van Trung 60 143059 Martirosyan-Tran van Trung 62 146226 Martirosyan-Tran van Trung 64 162935 Martirosyan-Tran van Trung 66 163984 Martirosyan-Tran van Trung 68 165020 Martirosyan-Tran van Trung 70 166023 Martirosyan-Tran van Trung 72 169541 Martirosyan-Tran van Trung 73 180186 Power CT13^2Arc(12):6 twos,0 ones 74 184182 Power CT13^2Arc(14):5 twos,2 ones 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 a factor 175 270482 Power CT16^2Arc(6) 186 275622 Power CT16^2Arc(5) 198 280762 Power CT16^2Arc(4) 211 285902 Power CT16^2Arc(3) 225 291042 Power CT16^2T1T1 240 296182 Power CT16^2T1 256 301322 Power CT16^2 272 317364 Power CT17^2T1 289 318598 Power CT17^2 290 335020 Power CT17^2+1 291 357196 Add a factor 307 362091 Power CT19^2Arc(3) 324 364552 Power CT19^2T1T1 342 367013 Power CT19^2T1 361 369474 Power CT19^2 362 385462 Power CT19^2+1 363 400736 Power CT19^2+2 364 414946 Power CT19^2+3 368 419778 Power CT23^2T7 374 420016 Power CT23^2T6T1 378 420174 Power CT23^2T5T2 379 420193 Power CT23^2Arc(2)T5 391 421012 Power CT23^2T6 396 421189 Power CT23^2T5T1 414 422185 Power CT23^2T5 418 423650 Power CT23^2T4T1 420 423777 Power CT23^2T3T2 421 423796 Power CT23^2Arc(2)T3 422 423872 Power CT23^2Arc(6):2 twos,1 ones 423 423891 Power CT23^2Arc(3)T2 424 423910 Power CT23^2Arc(5) 437 424646 Power CT23^2T4 440 424792 Power CT23^2T3T1 441 424868 Power CT23^2T2T2 442 424887 Power CT23^2Arc(2)T2 443 424906 Power CT23^2Arc(4) 460 425788 Power CT23^2T3 462 425883 Power CT23^2T2T1 463 425902 Power CT23^2Arc(3) 483 426879 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 619270 Add a factor 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 835474 Add a factor 1452 851121 Power CT27^3T16T16T15 1815 853221 Power CT27^3T16T16T12 1936 858361 Power CT27^3T16T16T11 1980 859317 Power CT27^3T16T15T12 2057 859595 Power CT27^3T16T16T10 2178 860768 Power CT27^3T16T16T9 2475 861417 Power CT27^3T16T12T12 2541 865462 Power CT27^3T16T16T6 2662 866477 Power CT27^3T16T16T5 2783 867473 Power CT27^3T16T16T4 2805 867791 Power CT27^3T16T12T10 2904 868428 Power CT27^3T16T16T3 2970 868964 Power CT27^3T16T12T9 3025 869338 Power CT27^3T16T16T2 3375 869613 Power CT27^3T12T12T12 3465 873658 Power CT27^3T16T12T6 3630 874673 Power CT27^3T16T12T5 3795 875669 Power CT27^3T16T12T4 3872 875755 Power CT27^3T16S26 3894 876573 Power CT27^3T16S25 3960 876624 Power CT27^3T16T12T3 4050 877160 Power CT27^3T12T12T9 4125 877534 Power CT27^3T16T12T2 4290 878402 Power CT27^3T16T12T1 4455 879220 Power CT27^3T16T12 4500 880763 Power CT27^3T12T12T7 4725 881854 Power CT27^3T12T12T6 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 5625 885730 Power CT27^3T12T12T2 5850 886598 Power CT27^3T12T12T1 6075 887416 Power CT27^3T12T12 6120 891194 Power CT27^3T12T10T3 6171 891297 Power CT27^3T16S7 6210 891412 Power CT27^3T12T9T4 6237 891461 Power CT27^3T16T6 6336 891498 Power CT27^3T9S26 6375 892104 Power CT27^3T12T10T2 6402 892115 Power CT27^3T16S6 6480 892367 Power CT27^3T12T9T3 6534 892476 Power CT27^3T16T5 6578 892654 Power CT27^3T16T4T1 6600 892741 Power CT27^3T16T3T2 6644 892933 Power CT27^3T16S5 6750 893277 Power CT27^3T12T9T2 6831 893472 Power CT27^3T16T4 6864 893609 Power CT27^3T16T3T1 6875 893651 Power CT27^3T16T2T2 6897 893751 Power CT27^3T16S4 7020 894145 Power CT27^3T12T9T1 7128 894427 Power CT27^3T16T3 7150 894519 Power CT27^3T16T2T1 7161 894569 Power CT27^3T16S3 7290 894963 Power CT27^3T12T9 7425 895337 Power CT27^3T16T2 7436 895387 Power CT27^3T16T1T1 7722 896205 Power CT27^3T16T1 8019 897023 Power CT27^3T16 8096 898203 Power CT27^3T4S26 8100 898566 Power CT27^3T12T7 8115 898675 Power CT27^3T12S8 8190 898839 Power CT27^3T12T6T1 8250 898986 Power CT27^3T12T5T2 8280 899072 Power CT27^3T12T4T3 8448 899158 Power CT27^3T3S26 8505 899657 Power CT27^3T12T6 8580 899854 Power CT27^3T12T5T1 8625 899982 Power CT27^3T12T4T2 8640 900027 Power CT27^3T12T3T3 8800 900068 Power CT27^3T2S26 8910 900672 Power CT27^3T12T5 8970 900850 Power CT27^3T12T4T1 9152 900936 Power CT27^3S27 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

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