Table for CAN(5,k,11) for k up to 10000

Last Updated Fri Mar 27 17:29:14 MST 2015

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;5,k,11) 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 12 161051 orthogonal array 13 306130 extended OA (Colbourn) 14 364422 orthogonal array fuse fuse postop NCK 15 483131 perfect hash family3,15,11,c 16 483150 perfect hash family3,16,12 24 629563 Martirosyan-TVT 25 909073 Add 1 factors 26 966300 perfect hash family6,26,12 28 1127350 perfect hash family7,28,12 32 1288400 perfect hash family8,32,12 34 1434213 Add 11 factors 35 1443893 Add 11 factors 37 1449450 perfect hash family9,37,12 44 1610411 perfect hash family10,44,11,c 84 1610500 Power N-CT9^2+3 121 1771451 perfect hash family11,121,11,c 122 1771550 Power CT11^2+1 123 2064260 Add 1 factors 124 2343770 Add 2 factors 125 2490180 Add 3 factors 132 2636491 Add 11 factors 133 2636590 Add 11 factors 134 2929300 Add 11 factors 144 3077261 Power CT13^2T1T1 156 3222340 Power CT13^2T1 169 3367419 Power CT13^2 242 3691743 Martirosyan-TVT 244 3740242 Martirosyan-TVT 246 4032952 Martirosyan-TVT 248 4312462 Martirosyan-TVT 250 4458872 Martirosyan-TVT 264 4605183 Martirosyan-TVT 266 4676392 Martirosyan-TVT 267 5157972 Add 1 factors 268 5528122 Martirosyan-TVT 269 5680692 Add 3 factors 287 5722283 Martirosyan-TVT variant 288 5793761 Martirosyan-TVT 299 5972187 Power N-CT23^2T10 322 6030479 Power N-CT23^2T9 345 6149188 Power N-CT23^2T8 368 6149207 Power N-CT23^2T7 530 6295620 Power N-CT23^2+1 531 6974430 Add 1 factors 532 7387040 Add 2 factors 533 7533450 Add 3 factors 541 7679860 Add 11 factors 542 8358670 Add 11 factors 543 8582580 Add 13 factors 544 8917690 Add 11 factors 552 9064100 Add 11 factors 553 9161262 Power CT25^2Arc(3) 576 9440772 Power CT25^2T1T1 600 9720282 Power CT25^2T1 625 9999792 Power CT25^2 633 10269857 Martirosyan-TVT variant 644 10296125 Martirosyan-TVT 649 10414834 Martirosyan-TVT variant 673 10423590 Martirosyan-TVT variant 690 10441102 Martirosyan-TVT 697 10441121 Martirosyan-TVT variant 721 10449877 Martirosyan-TVT variant 726 10458633 Martirosyan-TVT 736 10511433 Martirosyan-TVT 1332 10629300 perfect hash family66,1332,12 1333 11309210 Add 1 factors 1334 11721820 Add 2 factors 1728 11815266 Power CT23^3T11T11T11 1872 11960345 Power CT23^3T11T11T10 2016 12018637 Power CT23^3T11T11T9 2028 12105424 Power CT23^3T11T10T10 2160 12137346 Power CT23^3T11T11T8 2304 12137365 Power CT23^3T11T11T7 2352 12222008 Power CT23^3T11T9T9 2496 12282444 Power CT23^3T11T10T7 3312 12283778 Power CT23^3T11T11 3588 12428857 Power CT23^3T11T10 3864 12487149 Power CT23^3T11T9 3887 12573936 Power CT23^3T10T10 4140 12605858 Power CT23^3T11T8 4416 12605877 Power CT23^3T11T7 4508 12690520 Power CT23^3T9T9 4784 12750956 Power CT23^3T10T7 6348 12752290 Power CT23^3T11 6877 12897369 Power CT23^3T10 7406 12955661 Power CT23^3T9 7935 13074370 Power CT23^3T8 8464 13074389 Power CT23^3T7 10000 13220802 Power CT23^3

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