Table for CAN(6,k,22) 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,22) 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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24148035888fuse symbols
26244140622fuse symbols
28387420484fuse symbols
31592143549perfect hash family
48725577975Martirosyan-Tran van Trung
491082459577extend by one factor
501105668677Martirosyan-Tran van Trung
521175980637Martirosyan-Tran van Trung
531617554231extend by one factor
541734240579Martirosyan-Tran van Trung
561735303451Martirosyan-Tran van Trung
571776430645perfect hash family
621924466532perfect hash family
1152220538306perfect hash family
5302368574193Power 24^2
5312998142517extend by one factor
5323638464353extend by one factor
6263906249937Power 26^2
6274760627461extend by one factor
6285615004985extend by one factor
7306198727729Power 28^2
7317242296101extend by one factor
7357253758464perfect hash family
7447697866125perfect hash family
10587783436425Martirosyan-Tran van Trung
10607831384985Martirosyan-Tran van Trung
10628804801891Martirosyan-Tran van Trung
10649784939847Martirosyan-Tran van Trung
110410052725431Martirosyan-Tran van Trung
221010158091637linear hash family
221111642808101extend by one factor
221213127524565extend by one factor
221314612241029extend by one factor
221416096957493extend by one factor
240117319353217Power 49^2
240217690698817Power 50^2
480517764306441perfect hash family
647718208414102perfect hash family
1000018356449989perfect hash family