Table for CAN(5,k,17) 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,17) 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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78324992159Add 1 factors
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78530175663Add 3 factors
79831507375Add 17 factors
79931511999Add 17 factors
100534076208perfect hash family3,1005,671
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202544015104perfect hash family4,3125,625T220
203044015200perfect hash family4,3125,625T219
312545434944perfect hash family4,3125,625
318650279344Power N-CT59^2T5
348150362848Power N-CT59^2
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395351030880Power N-CT67^2T8
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476159884304Power N-CT71^2T2T2
478860886528Power N-CT97^2Arc(9)T43
522860970032Power N-CT97^2Arc(9)T38
602061053536Power N-CT97^2Arc(9)T29
610861053584Power N-CT97^2Arc(9)T28
616961137088Power N-CT97^2Arc(8)T28
623161220592Power N-CT97^2Arc(7)T28
629461304096Power N-CT97^2Arc(6)T28
635861387600Power N-CT97^2Arc(5)T28
642361471104Power N-CT97^2Arc(4)T28
648961554608Power N-CT97^2Arc(3)T28
655661638112Power N-CT97^2Arc(2)T28
662461721616Power N-CT97^2T28T1
741261805072perfect hash family9,11881,109T41
752161805120perfect hash family9,11881,109T40
839662306368Power N-CT97^2Arc(9)T2
857262389872Power N-CT97^2Arc(9)
866162473376Power N-CT97^2Arc(8)
875162556880Power N-CT97^2Arc(7)
884262640384Power N-CT97^2Arc(6)
893462723888Power N-CT97^2Arc(5)
902762807392Power N-CT97^2Arc(4)
912162890896Power N-CT97^2Arc(3)
921662974400Power N-CT97^2T1T1
1000063057904perfect hash family9,11449,107T11