# Table for CAN(6,k,25) 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,25) 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 26 244140625 orthogonal array 28 387420485 orthogonal array fuse fuse 30 594823313 orthogonal array fuse fuse fuse fuse 32 887503669 orthogonal array fuse fuse fuse fuse fuse fuse 35 976562425 perfect hash family4,35,25,c 50 1181640625 double OA (Colbourn-Zhou) 52 1191390625 double OA (Colbourn-Zhou) 53 1615567282 Martirosyan-TVT variant 56 1883263604 Martirosyan-TVT 57 2441406240 perfect hash family10,57,26 65 2685546625 perfect hash family11,65,25,c 66 2685546864 perfect hash family11,66,26 69 2929687225 perfect hash family12,69,25,c 72 2929687488 perfect hash family12,72,26 75 3237001225 Add 25 factors 76 3246751225 Add 25 factors 77 3270001225 Add 25 factors 80 3417968736 perfect hash family14,80,26 125 3662109025 perfect hash family15,125,25,c 625 3906249625 perfect hash family16,625,25,c 626 3906249984 Power CT25^2+1 627 5049624984 Add 1 factors 628 5518359984 Add 2 factors 651 5768888164 Power CT27^2Arc(3) 676 5912168024 Power CT27^2T1T1 702 6055447884 Power CT27^2T1 730 6198727744 Power CT27^2+1 731 7756011544 Add 1 factors 757 8300141196 Power N-CT29^2Arc(3) 784 8507544024 Power N-CT29^2T1T1 812 8714946852 Power N-CT29^2T1 842 8922349680 Power N-CT29^2+1 843 10749710280 Add 1 factors 844 11481245280 Add 2 factors 1064 11895280636 Martirosyan-TVT 1250 12129649876 Martirosyan-TVT 1251 12221530971 Martirosyan-TVT variant 1252 12313405971 Martirosyan-TVT 1254 13906766571 Martirosyan-TVT 1256 14805505347 Martirosyan-TVT 1300 15056033527 Martirosyan-TVT 1301 15174634352 Martirosyan-TVT variant 1302 15293235177 Martirosyan-TVT 1316 15748748596 Power N-CT47^2T19 1410 15956151424 Power N-CT47^2T17 1504 16248831780 Power N-CT47^2T15 1645 16337890536 Power N-CT47^2T12 2212 16542968736 Power N-CT47^2+3 2239 17527822050 Power N-CT53^2Arc(12) 2281 17951998707 Power N-CT53^2Arc(11) 9351 18088839984 Power CT31^3T5S30 10000 18232119844 Power CT31^3T3S30
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