Table for CAN(5,k,21) for k up to 10000

Last Updated Sun Nov 22 06:43:43 MST 2009

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,21) 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 4084101 Derive from strength 6 7 4473063 Ji-Li-Yin 8 5514335 Add a symbol 9 6094791 Add a symbol 24 6436339 orthogonal array fuse fuse 26 9765617 orthogonal array fuse fuse fuse fuse 48 13893487 Martirosyan-Tran van Trung 50 19449057 Martirosyan-Tran van Trung 52 19456185 Martirosyan-Tran van Trung 54 26664031 Martirosyan-Tran van Trung 56 26681851 Martirosyan-Tran van Trung 58 28893859 Martirosyan-Tran van Trung 60 28915243 Martirosyan-Tran van Trung 62 29175415 Martirosyan-Tran van Trung 64 29186107 Martirosyan-Tran van Trung 66 29193235 Martirosyan-Tran van Trung 68 29200363 Martirosyan-Tran van Trung 70 29449843 Martirosyan-Tran van Trung 72 29467663 Martirosyan-Tran van Trung 74 29478355 Martirosyan-Tran van Trung 76 29499739 Martirosyan-Tran van Trung 78 29717143 Martirosyan-Tran van Trung 84 29724271 Martirosyan-Tran van Trung 94 29795551 Martirosyan-Tran van Trung 96 31340171 Martirosyan-Tran van Trung 98 40326281 Martirosyan-Tran van Trung 100 40543685 Martirosyan-Tran van Trung 102 40550813 Martirosyan-Tran van Trung 104 40775553 Martirosyan-Tran van Trung 108 52399179 Martirosyan-Tran van Trung 112 52416999 Martirosyan-Tran van Trung 116 54629007 Martirosyan-Tran van Trung 120 54650391 Martirosyan-Tran van Trung 124 54910563 Martirosyan-Tran van Trung 128 54921255 Martirosyan-Tran van Trung 132 54928383 Martirosyan-Tran van Trung 136 54935511 Martirosyan-Tran van Trung 138 55184991 Martirosyan-Tran van Trung 140 55555431 Martirosyan-Tran van Trung 144 55573251 Martirosyan-Tran van Trung 148 58626443 Martirosyan-Tran van Trung 152 58647827 Martirosyan-Tran van Trung 156 58865231 Martirosyan-Tran van Trung 168 58872359 Martirosyan-Tran van Trung 188 58943639 Martirosyan-Tran van Trung 192 61820099 Martirosyan-Tran van Trung 207 64021832 Power N23^2T14 530 64363380 Power N23^2+1 531 79238520 Add a factor 532 94113660 Add a factor 1058 95270460 Martirosyan-Tran van Trung 1060 95735980 Martirosyan-Tran van Trung 1062 110611120 Martirosyan-Tran van Trung 1128 117584226 Power N47^2T23 1222 120913504 Power N47^2T21 2210 125041374 Power N47^2+1 3174 132810860 Power 23^3T17 3703 133199822 Power 23^3T16 4232 134241094 Power 23^3T15 4761 134821550 Power 23^3T14 10000 135162739 perfect hash family21,12167,23,c fuse fuse

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