Table for CAN(3,k,17) for k up to 10000

Last Updated Sun Jun 26 08:57:56 MST 2022

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;3,k,17) 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
184913orthogonal array
196778orthogonal array fuse fuse postop NCK
206787orthogonal array fuse fuse postop NCK
369537Chateauneuf-Kreher doubling
2759809SCPHF LFSR (TJ-IM)
3079825Raaphorst-Moura-Stevens
34513695SCPHF LFSR (TJ-IM) fuse fuse
38113713Raaphorst-Moura-Stevens fuse fuse
38218337Add a factor
39718624perfect hash family2,760,381T363
57718785Path-Restricted SCPHF RE (CLS)
61418801Chateauneuf-Kreher doubling
78119057Path-Restricted SCPHF RE (CLS)
96419329Restricted CPHF Ext 4( 1, 4) WCS
98019345Restricted CPHF Ext 4( 1, 3) WCS
98319361Restricted CPHF Ext 4( 1, 2) WCS
132819601Restricted CPHF Ext 4( 0, 4) WCS
133119617Restricted CPHF Ext 4( 0, 3) WCS
134319633Restricted CPHF Ext 4( 0, 2) WCS
136219649Restricted CPHF Ext 4( 0, 0) WCS
467523409Colbourn-Martirosyan-TVT-Walker
467623424Cohen-Colbourn-Ling
521923425Colbourn-Martirosyan-TVT-Walker
522023696Cohen-Colbourn-Ling
557824497Restricted CPHF Ext 5( 0, 5) WCS
563924513Restricted CPHF Ext 5( 0, 4) WCS
565824529Restricted CPHF Ext 5( 0, 3) WCS
567224545Restricted CPHF Ext 5( 0, 2) WCS
573524561Restricted CPHF Ext 5( 0, 0) WCS
579827330Cohen-Colbourn-Ling
581428025Cohen-Colbourn-Ling
612028034Cohen-Colbourn-Ling
851428305Restricted CPHF Ext 6( 4, 6) WCS
863828321Restricted CPHF Ext 6( 4, 5) WCS
1000028577Restricted CPHF Ext 6( 3, 6) WCS
 Graph: