Table for CAN(6,k,20) for k up to 10000

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;6,k,20) 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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24148035886fuse symbols
26244140620fuse symbols
28387420482fuse symbols
29589365402extend by one factor
31592143541perfect hash family
48710367139Martirosyan-Tran van Trung
49965611999extend by one factor
501082885385Martirosyan-Tran van Trung
521083666625Martirosyan-Tran van Trung
531405946525extend by one factor
541589638021Martirosyan-Tran van Trung
561686359009Martirosyan-Tran van Trung
571776430621perfect hash family
621924466506perfect hash family
1152220538276perfect hash family
5302368574161Power 24^2
5312886400161extend by one factor
5323413071041extend by one factor
6263906249905Power 26^2
6274608983905extend by one factor
6285311717905extend by one factor
6296014451905extend by one factor
7306198727697Power 28^2
7317033512837extend by one factor
7357253758366perfect hash family
10587638069159Martirosyan-Tran van Trung
10607685738407Martirosyan-Tran van Trung
10628459419547Martirosyan-Tran van Trung
10649241945567Martirosyan-Tran van Trung
11049780020595Martirosyan-Tran van Trung
22109945139933linear hash family
221111155784973extend by one factor
221212366430013extend by one factor
221313577075053extend by one factor
221414787720093extend by one factor
240115449791969Power 49^2
240216669980709extend by one factor
240417338665985Power 52^2
480517764306201perfect hash family
647718208413856perfect hash family
1000018356449741perfect hash family