Table for CAN(6,k,8) 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,8) 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 9 262144 orthogonal array 10 491520 extend by one factor 11 720896 extend by one factor 12 1088256 extend by one factor 18 1277952 Martirosyan-Tran van Trung 19 1736256 extend by one factor 20 2111640 Martirosyan-Tran van Trung 21 2569944 extend by one factor 22 3028248 extend by one factor 23 3715480 extend by one factor 24 4039088 Martirosyan-Tran van Trung 26 4343360 Martirosyan-Tran van Trung 28 4457936 Martirosyan-Tran van Trung 30 4572512 Martirosyan-Tran van Trung 32 4637984 Martirosyan-Tran van Trung 34 4654352 Martirosyan-Tran van Trung 36 4719824 Martirosyan-Tran van Trung 37 5407056 extend by one factor 38 5652200 Martirosyan-Tran van Trung 40 6076688 Martirosyan-Tran van Trung 41 7137496 extend by one factor 42 7855800 Martirosyan-Tran van Trung 44 8314104 Martirosyan-Tran van Trung 46 9047984 Martirosyan-Tran van Trung 48 9331672 Martirosyan-Tran van Trung 52 9658680 Martirosyan-Tran van Trung 56 9795992 Martirosyan-Tran van Trung 60 9933304 Martirosyan-Tran van Trung 64 10011768 Martirosyan-Tran van Trung 68 10031384 Martirosyan-Tran van Trung 72 10109848 Martirosyan-Tran van Trung 73 11195744 extend by one factor 74 12281640 extend by one factor 76 12980440 Martirosyan-Tran van Trung 80 13414672 Martirosyan-Tran van Trung 81 14688728 extend by one factor 82 15863880 Martirosyan-Tran van Trung 84 16644072 Martirosyan-Tran van Trung 88 17102376 Martirosyan-Tran van Trung 92 17882904 Martirosyan-Tran van Trung 96 18166592 Martirosyan-Tran van Trung 104 18516336 Martirosyan-Tran van Trung 112 18676384 Martirosyan-Tran van Trung 120 18836432 Martirosyan-Tran van Trung 128 18927888 Martirosyan-Tran van Trung 136 19058272 Martirosyan-Tran van Trung 144 19149728 Martirosyan-Tran van Trung 290 20447217 Power 18^2 291 22712641 extend by one factor 292 24978065 extend by one factor 293 27243489 extend by one factor 361 27780081 Power 19^2 362 30199169 extend by one factor 363 32618257 extend by one factor 364 35037345 extend by one factor 365 37456433 extend by one factor 366 39875521 extend by one factor 514 40894433 perfect hash family 528 43323535 Martirosyan-Tran van Trung 544 43339775 Martirosyan-Tran van Trung 572 43352767 Martirosyan-Tran van Trung 576 43369007 Martirosyan-Tran van Trung 577 45915887 extend by one factor 580 46452983 Martirosyan-Tran van Trung 582 48718407 Martirosyan-Tran van Trung 584 50983831 Martirosyan-Tran van Trung 586 53361374 Martirosyan-Tran van Trung 604 53897966 Martirosyan-Tran van Trung 608 53904462 Martirosyan-Tran van Trung 620 53914206 Martirosyan-Tran van Trung 640 53920702 Martirosyan-Tran van Trung 648 56315006 Martirosyan-Tran van Trung 656 56337742 Martirosyan-Tran van Trung 680 56439550 Martirosyan-Tran van Trung 704 56449294 Martirosyan-Tran van Trung 720 56583750 Martirosyan-Tran van Trung 722 57145766 Martirosyan-Tran van Trung 723 60458726 extend by one factor 724 63771686 extend by one factor 726 66209718 Martirosyan-Tran van Trung 842 68587666 linear hash family 962 69569746 linear hash family 964 69815266 linear hash family 966 70797346 linear hash family 968 71223910 Martirosyan-Tran van Trung 1000 71240150 Martirosyan-Tran van Trung 1024 71246646 Martirosyan-Tran van Trung 1028 71744934 Martirosyan-Tran van Trung 1040 74174036 Martirosyan-Tran van Trung 1056 74311316 Martirosyan-Tran van Trung 1088 74343796 Martirosyan-Tran van Trung 1136 74369780 Martirosyan-Tran van Trung 1144 74562676 Martirosyan-Tran van Trung 1152 74595156 Martirosyan-Tran van Trung 1153 78237284 extend by one factor 1154 80361756 Martirosyan-Tran van Trung 1160 80367587 Martirosyan-Tran van Trung 1369 81105826 linear hash family 1370 84782986 linear hash family 1371 88675994 extend by one factor 1372 91150306 linear hash family 1373 95043314 extend by one factor 1408 95363757 Martirosyan-Tran van Trung 1424 96263453 Martirosyan-Tran van Trung 1440 97091693 Martirosyan-Tran van Trung 1444 97860089 Martirosyan-Tran van Trung 1681 99924931 linear hash family 1682 103927699 extend by one factor 1683 107930467 extend by one factor 1684 111933235 extend by one factor 1685 115936003 extend by one factor 1850 116397443 linear hash family 1856 117848497 Martirosyan-Tran van Trung 1904 117953413 Martirosyan-Tran van Trung 1920 118340953 Martirosyan-Tran van Trung 1924 118353945 Martirosyan-Tran van Trung 1928 118599465 Martirosyan-Tran van Trung 1932 119581545 Martirosyan-Tran van Trung 1936 120008109 Martirosyan-Tran van Trung 1980 120467554 Martirosyan-Tran van Trung 2000 120987858 Martirosyan-Tran van Trung 2048 121100642 Martirosyan-Tran van Trung 2056 121689986 Martirosyan-Tran van Trung 2064 124119088 Martirosyan-Tran van Trung 2080 124379240 Martirosyan-Tran van Trung 2112 124535630 Martirosyan-Tran van Trung 2176 124835545 Martirosyan-Tran van Trung 2178 124874521 Martirosyan-Tran van Trung 2200 125134673 Martirosyan-Tran van Trung 2224 125524901 Martirosyan-Tran van Trung 2272 125785053 Martirosyan-Tran van Trung 2288 126004801 Martirosyan-Tran van Trung 2304 126307166 Martirosyan-Tran van Trung 2305 130309934 extend by one factor 2308 133481438 Martirosyan-Tran van Trung 2320 133493100 Martirosyan-Tran van Trung 2336 134231339 Martirosyan-Tran van Trung 2376 134343458 Martirosyan-Tran van Trung 2416 134474318 Martirosyan-Tran van Trung 2420 134582958 Martirosyan-Tran van Trung 2432 135106398 Martirosyan-Tran van Trung 2480 135116142 Martirosyan-Tran van Trung 2528 135225174 Martirosyan-Tran van Trung 2546 135239188 Martirosyan-Tran van Trung 2560 135500908 Martirosyan-Tran van Trung 2812 137143875 linear hash family 3482 139066243 linear hash family 3724 140164739 linear hash family 4490 140439363 linear hash family 5042 141537859 linear hash family 10000 143777474 Power 31^3

Graph: