Table for CAN(5,k,25) 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,25) 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
269765625orthogonal array
2814348903orthogonal array fuse fuse
3020511141orthogonal array fuse fuse fuse fuse
3228629139orthogonal array fuse fuse fuse fuse fuse fuse
42289062254-Restricted SCPHF RE (CL)
49292812253-Restricted SCPHF RE (CL)
75382812254-Restricted SCPHF RE (CL)
83386718254-Restricted SCPHF RE (CL)
92390468253-Restricted SCPHF RE (CL)
96390618252-Restricted SCPHF RE (CL)
9839062497CPHF Random Extension (CLS)
140480468254-Restricted SCPHF RE (CL)
163484374254-Restricted SCPHF RE (CL)
182488124253-Restricted SCPHF RE (CL)
184488274252-Restricted SCPHF RE (CL)
19148828025SCPHF Random Extension (CLS)
19448828121CPHF Random Extension (CLS)
248574218254-Restricted SCPHF RE (CL)
287578124254-Restricted SCPHF RE (CL)
332582030254-Restricted SCPHF RE (CL)
383585780253-Restricted SCPHF RE (CL)
391585930252-Restricted SCPHF RE (CL)
40658593625SCPHF Random Extension (CLS)
67868359225SCPHF Random Extension (CLS)
67991960225Add 1 factors
680111070225Add 2 factors
681120445225Add 3 factors
701129085225Add 25 factors
702129430225Add 25 factors
703129820225Add 25 factors
704153421225Add 25 factors
730157837922Power CT27^2+1
731180462448Power N-CT29^2Arc(4)
766180814275Martirosyan-TVT
782180829275Martirosyan-TVT
812180829875Martirosyan-TVT
1202190595475Martirosyan-TVT
1203190624875Martirosyan-TVT variant
1250190654275Martirosyan-TVT
1302191777475Martirosyan-TVT
2500195312025perfect hash family20,2500,25,c
2501195312480perfect hash family20,2501,26
10000205078104Power CT23^3
 Graph: