# Table for CAN(5,k,24) 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,24) 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 6 7962624 Derive from strength 6 7 8665676 Augment OA 8 9036998 Augment OA 9 9421030 Augment OA 26 9765623 orthogonal array fuse 28 14348901 orthogonal array fuse fuse fuse 30 20511139 orthogonal array fuse fuse fuse fuse fuse 32 28629137 orthogonal array fuse fuse fuse fuse fuse fuse fuse 33 29296823 perfect hash family3,33,25,c fuse 34 29296866 perfect hash family3,34,26 35 38122472 Martirosyan-TVT variant 45 38153718 Martirosyan-TVT variant 52 38184964 Martirosyan-TVT 53 48499894 Martirosyan-TVT variant 54 51071394 Martirosyan-TVT 55 51072642 Martirosyan-TVT variant 56 54568564 Martirosyan-TVT 68 58593732 perfect hash family6,81,27S6 70 63177010 perfect hash family6,81,27S5 72 67760288 perfect hash family6,81,27S4 74 72343566 perfect hash family6,81,27S3 76 76926844 perfect hash family6,81,27S2 81 78124823 perfect hash family8,81,25,c fuse 82 78124976 perfect hash family8,82,26 103 87890423 perfect hash family9,103,25,c fuse 104 87890598 perfect hash family9,104,26 138 95853221 Power N-CT23^2T17 161 96556273 Power N-CT23^2T16 184 96927595 Power N-CT23^2T15 207 97311627 Power N-CT23^2T14 532 97656220 Power N-CT23^2+3 625 107421623 perfect hash family11,625,25,c fuse 626 107421842 Power CT25^2+1 627 124670186 Add 1 factors 628 140541290 Add 2 factors 651 144088066 Power CT27^2Arc(3) 676 148671344 Power CT27^2T1T1 702 153254622 Power CT27^2T1 730 157837900 Power CT27^2+1 731 179564068 Add 1 factors 757 186624666 Power N-CT29^2Arc(3) 784 192786904 Power N-CT29^2T1T1 2500 195312440 Power CT25^3Tlev 3750 203275063 Power CT25^3T19 4375 203978115 Power CT25^3T18 5000 204349437 Power CT25^3T17 5625 204733469 Power CT25^3T16 10000 205077623 perfect hash family21,15625,25,c fuse
Graph: