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

Last Updated Sun May 8 14:02:10 MST 2016

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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kNSource
64084101Derive from strength 6
74473063Ji-Li-Yin
85459643Augment OA
95986292Augment OA
246436339orthogonal array fuse fuse
269765617orthogonal array fuse fuse fuse fuse
2814348895orthogonal array fuse fuse fuse fuse fuse fuse
3119308979perfect hash family3,31,23,c fuse fuse
3219309014perfect hash family3,32,24
3324432734Martirosyan-TVT variant
3424465583Martirosyan-TVT
3524470743Martirosyan-TVT variant
3624475903Martirosyan-TVT
3724482095Martirosyan-TVT variant
3824512425Martirosyan-TVT
3924518629Martirosyan-TVT variant
4024524833Martirosyan-TVT
4124530003Martirosyan-TVT variant
4224559355Martirosyan-TVT
4324562981Martirosyan-TVT variant
4424566607Martirosyan-TVT
4524576449Martirosyan-TVT variant
4624610525Martirosyan-TVT
4724622462Martirosyan-TVT variant
4824682959Martirosyan-TVT
4931922029Martirosyan-TVT variant
5033677889Martirosyan-TVT
5133701001Martirosyan-TVT variant
5233816629Martirosyan-TVT
5343118163Martirosyan-TVT variant
6445054259perfect hash family7,64,23,c fuse fuse
6545054366perfect hash family7,65,24
7951490579perfect hash family8,79,23,c fuse fuse
8051490704perfect hash family8,80,24
10157926899perfect hash family9,101,23,c fuse fuse
10257927042perfect hash family9,102,24
13862011142Power N-CT23^2T17
16162400104Power N-CT23^2T16
18463386684Power N-CT23^2T15
20763913333Power N-CT23^2T14
53064363380Power N-CT23^2+1
53174581560Add 1 factors
53283225160Add 2 factors
53387114780Add 3 factors
53491620381Add 4 factors
53591990821Add 5 factors
55397433942Power CT25^2Arc(3)
576100763220Power CT25^2T1T1
600104092498Power CT25^2T1
625107421617perfect hash family11,625,25,c fuse fuse fuse fuse
626107421776Power CT25^2+1
627120542996Add 1 factors
2116128726760Power CT23^3Tlev
3174132810860Power CT23^3T17
3703133199822Power CT23^3T16
4232134186402Power CT23^3T15
4761134713051Power CT23^3T14
10000135162739perfect hash family21,12167,23,c fuse fuse
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