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

Last Updated Sun Nov 19 11:04:53 MST 2017

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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kNSource
246436343orthogonal array
269765621orthogonal array fuse fuse
2814348899orthogonal array fuse fuse fuse fuse
41190291654-Restricted SCPHF RE (CL)
45192968393-Restricted SCPHF RE (CL)
47193084772-Restricted SCPHF RE (CL)
70251856674-Restricted SCPHF RE (CL)
76254654854-Restricted SCPHF RE (CL)
84257331593-Restricted SCPHF RE (CL)
88257447972-Restricted SCPHF RE (CL)
8925745303SCPHF Random Extension (CLS)
134316219874-Restricted SCPHF RE (CL)
154319018054-Restricted SCPHF RE (CL)
163321694793-Restricted SCPHF RE (CL)
169321811172-Restricted SCPHF RE (CL)
17132181711CPHF Random Extension (CLS)
219377784894-Restricted SCPHF RE (CL)
254380583074-Restricted SCPHF RE (CL)
298383381254-Restricted SCPHF RE (CL)
331386057993-Restricted SCPHF RE (CL)
342386174372-Restricted SCPHF RE (CL)
34438617943SCPHF Random Extension (CLS)
34538618053CPHF Random Extension (CLS)
62445054263SCPHF Random Extension (CLS)
62560864233Add 1 factors
67868359221SCPHF Random Extension (CLS) fuse fuse
67988260707Add 1 factors
680101632769Add 2 factors
681107789271Add 3 factors
696113701375Add 23 factors
701113945773Add 23 factors
1014125345883Martirosyan-TVT
1015125368653Martirosyan-TVT variant
1058125391423Martirosyan-TVT
1106126192927Martirosyan-TVT
2116128726423perfect hash family20,2116,23,c
2117128726840perfect hash family20,2117,24
10000135162743perfect hash family21,12167,23,c
 Graph: