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

Last Updated Fri Sep 20 11:41:02 MST 2013

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 368633 orthogonal array fuse fuse postop NCK 15 483131 perfect hash family3,15,11,c 16 483150 perfect hash family3,16,12 24 629563 Martirosyan-Tran van Trung 25 909073 AZ1 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 45 1610500 perfect hash family10,45,12 121 1771451 perfect hash family11,121,11,c 122 1771550 Power CT11^2+1 123 2064260 AZ1 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-Tran van Trung 244 3740242 Martirosyan-Tran van Trung 246 4032952 Martirosyan-Tran van Trung 248 4312462 Martirosyan-Tran van Trung 250 4458872 Martirosyan-Tran van Trung 264 4605183 Martirosyan-Tran van Trung 266 4676392 Martirosyan-Tran van Trung 267 5157972 AZ1 268 5528122 Martirosyan-Tran van Trung 269 5680692 Add 3 factors 286 5722283 Martirosyan-Tran van Trung 288 5793761 Martirosyan-Tran van Trung 299 5972187 Power N-CT23^2T10 322 6034690 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 AZ1 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 CT25^2 632 10274068 Martirosyan-Tran van Trung 644 10300336 Martirosyan-Tran van Trung 648 10561266 Martirosyan-Tran van Trung 672 10570022 Martirosyan-Tran van Trung 696 10587534 Martirosyan-Tran van Trung 720 10596290 Martirosyan-Tran van Trung 726 10605046 Martirosyan-Tran van Trung 1332 10629300 perfect hash family66,1332,12 1333 11309210 AZ1 1334 11721820 Add 2 factors 1728 11815266 Power CT23^3T11T11T11 1872 11960345 Power CT23^3T11T11T10 2016 12022848 Power CT23^3T11T11T9 2028 12105424 Power CT23^3T11T10T10 2160 12137346 Power CT23^3T11T11T8 2304 12137365 Power CT23^3T11T11T7 2352 12230430 Power CT23^3T11T9T9 2496 12282444 Power CT23^3T11T10T7 3312 12283778 Power CT23^3T11T11 3588 12428857 Power CT23^3T11T10 3864 12491360 Power CT23^3T11T9 3887 12573936 Power CT23^3T10T10 4140 12605858 Power CT23^3T11T8 4416 12605877 Power CT23^3T11T7 4508 12698942 Power CT23^3T9T9 4784 12750956 Power CT23^3T10T7 6348 12752290 Power CT23^3T11 6877 12897369 Power CT23^3T10 7406 12959872 Power CT23^3T9 7935 13074370 Power CT23^3T8 8464 13074389 Power CT23^3T7 10000 13220802 Power CT23^3

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