Table for CAN(6,k,9) 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;6,k,9) 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).

Go to Global Menu.

Change t: -

Change v: - +

k N Source 10 531441 orthogonal array 11 1003833 extend by one factor 12 1476225 extend by one factor 13 2368521 extend by one factor 20 2598156 Martirosyan-Tran van Trung 21 3542292 extend by one factor 22 4486428 extend by one factor 23 5430564 extend by one factor 24 6846444 extend by one factor 25 8262324 extend by one factor 26 8295588 Martirosyan-Tran van Trung 28 8735031 Martirosyan-Tran van Trung 30 8944839 Martirosyan-Tran van Trung 32 9154647 Martirosyan-Tran van Trung 34 9364455 Martirosyan-Tran van Trung 36 9574263 Martirosyan-Tran van Trung 40 9784071 Martirosyan-Tran van Trung 41 11199951 extend by one factor 42 11724831 Martirosyan-Tran van Trung 43 13929255 extend by one factor 44 14787927 Martirosyan-Tran van Trung 46 16163055 Martirosyan-Tran van Trung 48 17578935 Martirosyan-Tran van Trung 50 18994815 Martirosyan-Tran van Trung 52 19028079 Martirosyan-Tran van Trung 56 19505538 Martirosyan-Tran van Trung 60 19753362 Martirosyan-Tran van Trung 64 20001186 Martirosyan-Tran van Trung 68 20249010 Martirosyan-Tran van Trung 72 20496834 Martirosyan-Tran van Trung 78 20744658 Martirosyan-Tran van Trung 79 22949082 extend by one factor 80 24095970 Martirosyan-Tran van Trung 81 26300394 extend by one factor 82 26305002 Martirosyan-Tran van Trung 83 28509426 extend by one factor 84 28830906 Martirosyan-Tran van Trung 85 31128642 extend by one factor 88 32427378 Martirosyan-Tran van Trung 92 34233498 Martirosyan-Tran van Trung 96 35649378 Martirosyan-Tran van Trung 100 37065258 Martirosyan-Tran van Trung 104 37098522 Martirosyan-Tran van Trung 112 37613997 Martirosyan-Tran van Trung 120 37899837 Martirosyan-Tran van Trung 128 38185677 Martirosyan-Tran van Trung 136 38471517 Martirosyan-Tran van Trung 144 38757357 Martirosyan-Tran van Trung 156 39043197 Martirosyan-Tran van Trung 362 41570481 Power 20^2 363 46294905 extend by one factor 364 51019329 extend by one factor 365 55743753 extend by one factor 366 60468177 extend by one factor 367 65192601 extend by one factor 368 69917025 extend by one factor 369 74641449 extend by one factor 370 79365873 extend by one factor 378 81534316 Martirosyan-Tran van Trung 515 83140961 perfect hash family 529 86889009 Power 23^2 544 88559884 Martirosyan-Tran van Trung 556 88597900 Martirosyan-Tran van Trung 560 88626412 Martirosyan-Tran van Trung 576 88635916 Martirosyan-Tran van Trung 596 88673932 Martirosyan-Tran van Trung 624 88711948 Martirosyan-Tran van Trung 640 89412876 Martirosyan-Tran van Trung 702 89970780 Martirosyan-Tran van Trung 724 94899180 Martirosyan-Tran van Trung 725 99955380 extend by one factor 726 101536500 Martirosyan-Tran van Trung 728 106413404 Martirosyan-Tran van Trung 730 111147332 Martirosyan-Tran van Trung 732 115871756 Martirosyan-Tran van Trung 734 120596180 Martirosyan-Tran van Trung 736 125320604 Martirosyan-Tran van Trung 738 130045028 Martirosyan-Tran van Trung 842 134172571 linear hash family 962 137319691 linear hash family 964 140466811 linear hash family 966 143613931 linear hash family 1024 145781660 Martirosyan-Tran van Trung 1030 145819676 Martirosyan-Tran van Trung 1372 146761051 linear hash family 1404 154098407 Martirosyan-Tran van Trung 1681 156799301 linear hash family 1682 164147621 linear hash family 1683 171801005 extend by one factor 1684 179454389 extend by one factor 1685 187107773 extend by one factor 1686 194761157 extend by one factor 1849 195009557 linear hash family 1850 203134685 extend by one factor 1851 211259813 extend by one factor 1872 217278566 Martirosyan-Tran van Trung 1920 217444454 Martirosyan-Tran van Trung 1924 217482470 Martirosyan-Tran van Trung 1928 220629590 Martirosyan-Tran van Trung 1932 223776710 Martirosyan-Tran van Trung 1944 225944439 Martirosyan-Tran van Trung 1962 226124439 Martirosyan-Tran van Trung 1980 227582503 Martirosyan-Tran van Trung 2000 229040567 Martirosyan-Tran van Trung 2034 230498631 Martirosyan-Tran van Trung 2048 238798170 Martirosyan-Tran van Trung 2052 238874202 Martirosyan-Tran van Trung 2060 239266626 Martirosyan-Tran van Trung 2064 240208001 Martirosyan-Tran van Trung 2106 240246017 Martirosyan-Tran van Trung 2176 241632449 Martirosyan-Tran van Trung 2178 241670465 Martirosyan-Tran van Trung 2196 242961281 Martirosyan-Tran van Trung 2224 243163469 Martirosyan-Tran van Trung 2240 243191981 Martirosyan-Tran van Trung 2260 243201485 Martirosyan-Tran van Trung 2268 244288730 Martirosyan-Tran van Trung 2304 244705058 Martirosyan-Tran van Trung 2322 244743074 Martirosyan-Tran van Trung 2384 245381154 Martirosyan-Tran van Trung 2412 245419170 Martirosyan-Tran van Trung 2484 245633310 Martirosyan-Tran van Trung 2496 246073542 Martirosyan-Tran van Trung 2502 246774470 Martirosyan-Tran van Trung 2520 247258406 Martirosyan-Tran van Trung 2556 247420742 Martirosyan-Tran van Trung 2560 249107414 Martirosyan-Tran van Trung 2628 249665318 Martirosyan-Tran van Trung 2682 249821574 Martirosyan-Tran van Trung 2744 250476038 Martirosyan-Tran van Trung 2754 257813394 Martirosyan-Tran van Trung 2800 259082046 Martirosyan-Tran van Trung 2808 259504930 Martirosyan-Tran van Trung 2896 262906752 Martirosyan-Tran van Trung 2904 264819648 Martirosyan-Tran van Trung 2912 264972128 Martirosyan-Tran van Trung 2916 264981632 Martirosyan-Tran van Trung 2952 265230464 Martirosyan-Tran van Trung 3024 267237776 Martirosyan-Tran van Trung 3096 268319760 Martirosyan-Tran van Trung 3120 268385424 Martirosyan-Tran van Trung 3136 268413936 Martirosyan-Tran van Trung 3168 268423440 Martirosyan-Tran van Trung 3200 268590480 Martirosyan-Tran van Trung 3240 268666512 Martirosyan-Tran van Trung 5334 269680542 linear hash family 5335 279506598 extend by one factor 10000 283794027 Power 31^3

Graph: