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

Last Updated Sat Jul 28 12:53:06 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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246436343orthogonal array
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2814348899orthogonal array fuse fuse fuse fuse
43190291654-Restricted SCPHF RE (CL)
46192968393-Restricted SCPHF RE (CL)
47193084772-Restricted SCPHF RE (CL)
4819308983SCPHF Random Extension (CLS)
72251856674,4-Restricted SCPHF RE (CL)
81254654854-Restricted SCPHF RE (CL)
87257331593-Restricted SCPHF RE (CL)
88257447972-Restricted SCPHF RE (CL)
9025745303SCPHF Random Extension (CLS)
136316219874,4-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)
228377784894,4,4-Restricted SCPHF RE (CL)
259380583074,4-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)
430442148094,4,4-Restricted SCPHF RE (CL)
493444946274,4-Restricted SCPHF RE (CL)
564447744454-Restricted SCPHF RE (CL)
648450421193-Restricted SCPHF RE (CL)
654450537572-Restricted SCPHF RE (CL)
65645054263SCPHF Random Extension (CLS)
785506511294,4,4-Restricted SCPHF RE (CL)
78674474115Add 1 factors
78788637561Add 2 factors
78894794063Add 3 factors
808100950565Add 23 factors
810115154729Add 25 factors
1019125088835Martirosyan-TVT variant
2116128726423perfect hash family20,2116,23,c
2117128726840perfect hash family20,2117,24
10000135162743perfect hash family21,12167,23,c