Table for CAN(5,k,16) for k up to 10000

Last Updated Fri Sep 15 07:41:46 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,16) 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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94525165485perfect hash family3,945,631
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96531105963perfect hash family3,1005,671T40
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189532505420perfect hash family4,3125,625T246
312533553980perfect hash family4,3125,625
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372537748295perfect hash family9,3725,65
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598045547095Power N-CT97^2T32T5
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846446464615Power N-CT97^2T5T5
929246530135Power N-CT101^2T9
1000046595655Power N-CT101^2