# Table for CAN(5,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;5,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 9765625 orthogonal array 28 14348903 orthogonal array fuse fuse 30 20511141 orthogonal array fuse fuse fuse fuse 32 28629139 orthogonal array fuse fuse fuse fuse fuse fuse 33 29296825 perfect hash family3,33,25,c 34 29296872 perfect hash family3,34,26 52 38671875 Martirosyan-TVT 53 49168391 Martirosyan-TVT variant 56 55401793 Martirosyan-TVT 68 58593744 perfect hash family6,81,27S6 70 63177022 perfect hash family6,81,27S5 72 67760300 perfect hash family6,81,27S4 74 72343578 perfect hash family6,81,27S3 76 76926856 perfect hash family6,81,27S2 81 78124825 perfect hash family8,81,25,c 82 78124992 perfect hash family8,82,26 103 87890425 perfect hash family9,103,25,c 104 87890616 perfect hash family9,104,26 114 97656025 perfect hash family10,114,25,c 532 97656240 Power N-CT23^2+3 625 107421625 perfect hash family11,625,25,c 626 107421864 Power CT25^2+1 627 126171264 Add 1 factors 651 144088088 Power CT27^2Arc(3) 676 148671366 Power CT27^2T1T1 702 153254644 Power CT27^2T1 730 157837922 Power CT27^2+1 731 180462448 Power N-CT29^2Arc(4) 757 186624686 Power N-CT29^2Arc(3) 784 192786924 Power N-CT29^2T1T1 2500 195312480 Power CT25^3Tlev 10000 205077625 perfect hash family21,15625,25,c
Graph: