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

Last Updated Wed Jun 6 17:38:18 MST 2018

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)
46192968393-Restricted SCPHF RE (CL)
47193084772-Restricted SCPHF RE (CL)
4819308983SCPHF Random Extension (CLS)
71251856674-Restricted SCPHF RE (CL)
81254654854-Restricted SCPHF RE (CL)
87257331593-Restricted SCPHF RE (CL)
88257447972-Restricted SCPHF RE (CL)
8925745303SCPHF Random Extension (CLS)
136316219874-Restricted SCPHF RE (CL)
155319018054-Restricted SCPHF RE (CL)
171321694793-Restricted SCPHF RE (CL)
175321811172-Restricted SCPHF RE (CL)
17832181623SCPHF Random Extension (CLS)
18132181711CPHF Random Extension (CLS)
228377784894-Restricted SCPHF RE (CL)
259380583074-Restricted SCPHF RE (CL)
299383381254-Restricted SCPHF RE (CL)
332386057993-Restricted SCPHF RE (CL)
342386174372-Restricted SCPHF RE (CL)
34438617943SCPHF Random Extension (CLS)
34538618053CPHF Random Extension (CLS)
430442148094-Restricted SCPHF RE (CL)
493444946274-Restricted SCPHF RE (CL)
564447744454-Restricted SCPHF RE (CL)
648450421193-Restricted SCPHF RE (CL)
654450537572-Restricted SCPHF RE (CL)
65645054263SCPHF Random Extension (CLS)
659506511294-Restricted SCPHF RE (CL)
701683436213-Restricted SCPHF RE (CL) fuse fuse
709683586212-Restricted SCPHF RE (CL) fuse fuse
71268359221SCPHF Random Extension (CLS) fuse fuse
71388273863Add 1 factors
714101925237Add 2 factors
715108081739Add 3 factors
724114174571Add 23 factors
726114189571Add 23 factors
727114212847Add 23 factors
729114224485Add 23 factors
732114237641Add 23 factors
735114238241Add 23 factors
860124506429Martirosyan-TVT
986124786247Martirosyan-TVT
1018125066065Martirosyan-TVT
1019125088835Martirosyan-TVT variant
1058125111605Martirosyan-TVT
1106125913109Martirosyan-TVT
2116128726423perfect hash family20,2116,23,c
2117128726840perfect hash family20,2117,24
10000135162743perfect hash family21,12167,23,c
 Graph: