Table for CAN(6,k,6) 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,6) 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 46656 composition 8 103446 extend by one factor 9 160236 extend by one factor 10 217350 composition 11 257922 composition 12 307326 Martirosyan-Tran van Trung 14 365077 Martirosyan-Tran van Trung 16 451144 Martirosyan-Tran van Trung 17 594964 extend by one factor 18 703267 Martirosyan-Tran van Trung 19 847087 extend by one factor 20 854139 Martirosyan-Tran van Trung 21 1029369 extend by one factor 22 1049256 Martirosyan-Tran van Trung 24 1142650 Martirosyan-Tran van Trung 26 1295199 Martirosyan-Tran van Trung 28 1356751 Martirosyan-Tran van Trung 30 1482353 Martirosyan-Tran van Trung 32 1498086 Martirosyan-Tran van Trung 33 1726026 extend by one factor 34 1821924 Martirosyan-Tran van Trung 36 1963406 Martirosyan-Tran van Trung 37 2204726 extend by one factor 38 2290963 Martirosyan-Tran van Trung 40 2393723 Martirosyan-Tran van Trung 42 2613332 Martirosyan-Tran van Trung 44 2664668 Martirosyan-Tran van Trung 46 2787751 Martirosyan-Tran van Trung 48 2816742 Martirosyan-Tran van Trung 50 3010662 Martirosyan-Tran van Trung 52 3037916 Martirosyan-Tran van Trung 54 3139301 Martirosyan-Tran van Trung 56 3160029 Martirosyan-Tran van Trung 58 3291321 Martirosyan-Tran van Trung 60 3296846 Martirosyan-Tran van Trung 62 3378564 Martirosyan-Tran van Trung 64 3400493 Martirosyan-Tran van Trung 65 3708953 extend by one factor 66 3877888 Martirosyan-Tran van Trung 68 3980309 Martirosyan-Tran van Trung 70 4159549 Martirosyan-Tran van Trung 72 4180909 Martirosyan-Tran van Trung 74 4501834 Martirosyan-Tran van Trung 76 4594256 Martirosyan-Tran van Trung 78 4716112 Martirosyan-Tran van Trung 80 4734607 Martirosyan-Tran van Trung 82 5001886 Martirosyan-Tran van Trung 84 5020247 Martirosyan-Tran van Trung 86 5124532 Martirosyan-Tran van Trung 88 5141436 Martirosyan-Tran van Trung 90 5281776 Martirosyan-Tran van Trung 92 5298616 Martirosyan-Tran van Trung 94 5468799 Martirosyan-Tran van Trung 96 5508223 Martirosyan-Tran van Trung 98 5786971 Martirosyan-Tran van Trung 100 5817512 Martirosyan-Tran van Trung 102 5885062 Martirosyan-Tran van Trung 104 5898502 Martirosyan-Tran van Trung 108 6015762 Martirosyan-Tran van Trung 110 6073595 Martirosyan-Tran van Trung 112 6084155 Martirosyan-Tran van Trung 113 6458645 extend by one factor 114 6504545 Martirosyan-Tran van Trung 116 6515041 Martirosyan-Tran van Trung 118 6537243 Martirosyan-Tran van Trung 120 6547903 Martirosyan-Tran van Trung 122 6656000 Martirosyan-Tran van Trung 124 6665184 Martirosyan-Tran van Trung 126 6705475 Martirosyan-Tran van Trung 128 6716135 Martirosyan-Tran van Trung 130 7056281 Martirosyan-Tran van Trung 256 7218289 Power 16^2 257 7885819 extend by one factor 258 8553349 extend by one factor 259 9228559 extend by one factor 289 9519409 Power 17^2 290 10207639 extend by one factor 291 10896649 extend by one factor 292 11585659 extend by one factor 293 12275659 extend by one factor 294 12965659 extend by one factor 296 13113358 Martirosyan-Tran van Trung 298 13127074 Martirosyan-Tran van Trung 300 13131026 Martirosyan-Tran van Trung 302 13401480 Martirosyan-Tran van Trung 304 13406680 Martirosyan-Tran van Trung 306 13447755 Martirosyan-Tran van Trung 308 13508271 Martirosyan-Tran van Trung 310 13514304 Martirosyan-Tran van Trung 312 13519868 Martirosyan-Tran van Trung 314 13533062 Martirosyan-Tran van Trung 316 13538198 Martirosyan-Tran van Trung 318 13544459 Martirosyan-Tran van Trung 320 13549167 Martirosyan-Tran van Trung 361 13553377 Power 19^2 362 13666209 Power 20^2 363 14399409 extend by one factor 512 14436577 perfect hash family 513 15384187 extend by one factor 514 16333567 extend by one factor 515 17282947 extend by one factor 516 17959340 Martirosyan-Tran van Trung 530 18282385 Power 24^2 532 19107787 Martirosyan-Tran van Trung 536 19113606 Martirosyan-Tran van Trung 540 19124209 Martirosyan-Tran van Trung 544 19133109 Martirosyan-Tran van Trung 548 19150423 Martirosyan-Tran van Trung 552 19157760 Martirosyan-Tran van Trung 556 19166344 Martirosyan-Tran van Trung 560 19173681 Martirosyan-Tran van Trung 564 19188443 Martirosyan-Tran van Trung 568 19194768 Martirosyan-Tran van Trung 572 19205246 Martirosyan-Tran van Trung 576 19211824 Martirosyan-Tran van Trung 578 19355502 Martirosyan-Tran van Trung 579 20320782 extend by one factor 626 20723169 Power 26^2 730 21708001 Power 28^2 842 22235281 linear hash family 962 22471276 linear hash family 963 23571376 extend by one factor 1024 23969361 Power 32^2 1025 25076931 extend by one factor 1026 26184501 extend by one factor 1027 27292071 extend by one factor 1028 28399641 extend by one factor 1029 29507211 extend by one factor 1030 30614781 extend by one factor 1032 31390846 Martirosyan-Tran van Trung 1036 31715591 Martirosyan-Tran van Trung 1040 31727351 Martirosyan-Tran van Trung 1048 31735766 Martirosyan-Tran van Trung 1050 31737266 Martirosyan-Tran van Trung 1056 31750226 Martirosyan-Tran van Trung 1060 31763496 Martirosyan-Tran van Trung 1064 32588898 Martirosyan-Tran van Trung 1072 32606667 Martirosyan-Tran van Trung 1078 32621580 Martirosyan-Tran van Trung 1080 32634300 Martirosyan-Tran van Trung 1088 32646010 Martirosyan-Tran van Trung 1092 32674954 Martirosyan-Tran van Trung 1096 32686474 Martirosyan-Tran van Trung 1104 32695261 Martirosyan-Tran van Trung 1106 32706745 Martirosyan-Tran van Trung 1112 32763865 Martirosyan-Tran van Trung 1120 32772652 Martirosyan-Tran van Trung 1128 32902808 Martirosyan-Tran van Trung 1134 32910383 Martirosyan-Tran van Trung 1369 33070876 linear hash family 1370 34302436 extend by one factor 1371 35533996 extend by one factor 1372 35905831 linear hash family 1682 36586635 linear hash family 1850 37305339 linear hash family 1851 38691549 extend by one factor 1852 39028501 linear hash family 2210 39434375 linear hash family 2211 40828475 extend by one factor 2212 42149255 linear hash family 2214 42530811 linear hash family 2215 43924911 extend by one factor 2810 43950201 linear hash family 2812 44240393 linear hash family 2813 45832613 extend by one factor 2814 46078481 linear hash family 3482 46155831 linear hash family 10000 46440636 Power 31^3

Graph: