Table for CAN(5,k,23) for k up to 10000

Last Updated Tue Jan 31 05:19:54 MST 2012

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,23) 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 24 6436343 orthogonal array 26 9765621 orthogonal array fuse fuse 28 14348899 orthogonal array fuse fuse fuse fuse 48 14758571 Martirosyan-Tran van Trung 52 20881187 Martirosyan-Tran van Trung 54 28574611 Martirosyan-Tran van Trung 56 28586893 Martirosyan-Tran van Trung 58 31765829 Martirosyan-Tran van Trung 60 31774017 Martirosyan-Tran van Trung 62 31790393 Martirosyan-Tran van Trung 64 31798581 Martirosyan-Tran van Trung 68 32122007 Martirosyan-Tran van Trung 70 32134289 Martirosyan-Tran van Trung 72 32142477 Martirosyan-Tran van Trung 74 32465903 Martirosyan-Tran van Trung 76 32469997 Martirosyan-Tran van Trung 78 32474091 Martirosyan-Tran van Trung 80 32486373 Martirosyan-Tran van Trung 82 32650133 Martirosyan-Tran van Trung 84 32666509 Martirosyan-Tran van Trung 94 33047251 Martirosyan-Tran van Trung 96 37120067 Martirosyan-Tran van Trung 102 44564135 Martirosyan-Tran van Trung 104 47348191 Martirosyan-Tran van Trung 108 57081455 Martirosyan-Tran van Trung 112 57093737 Martirosyan-Tran van Trung 116 60272673 Martirosyan-Tran van Trung 120 60293143 Martirosyan-Tran van Trung 124 60362741 Martirosyan-Tran van Trung 128 60370929 Martirosyan-Tran van Trung 136 60694355 Martirosyan-Tran van Trung 138 60706637 Martirosyan-Tran van Trung 530 64363420 Power N-CT23^2+1 531 82297578 Add a factor 553 97433986 Power CT25^2Arc(3) 1058 98568560 Martirosyan-Tran van Trung 1060 104201352 Martirosyan-Tran van Trung 1062 122135510 Martirosyan-Tran van Trung 1128 124504902 Power N-CT47^2T23 1222 127834180 Power N-CT47^2T21 2116 128726840 Power CT23^3Tlev 2210 132827130 Power N-CT47^2+1 10000 135162743 perfect hash family21,12167,23,c

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