Table for CAN(6,k,21) 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,21) 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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24148035887fuse symbols
26244140621fuse symbols
28387420483fuse symbols
31592143545perfect hash family
48717972548Martirosyan-Tran van Trung
491020097868extend by one factor
501094277022Martirosyan-Tran van Trung
521095058264Martirosyan-Tran van Trung
531472725624extend by one factor
541709277444Martirosyan-Tran van Trung
561710340314Martirosyan-Tran van Trung
571776430633perfect hash family
621924466519perfect hash family
1152220538291perfect hash family
5302368574177Power 24^2
5312940908597extend by one factor
5323523018937extend by one factor
6263906249921Power 26^2
6274682956341extend by one factor
6285459662761extend by one factor
7306198727713Power 28^2
7317147425813extend by one factor
7357253758415perfect hash family
7447697866073perfect hash family
10587710752772Martirosyan-Tran van Trung
10607758561676Martirosyan-Tran van Trung
10628628583696Martirosyan-Tran van Trung
10649508381636Martirosyan-Tran van Trung
11049914604540Martirosyan-Tran van Trung
221010051615659linear hash family
221111401357479extend by one factor
221212751099299extend by one factor
221314100841119extend by one factor
221415330815683linear hash family
240116321565873Power 49^2
240217508432337Power 50^2
240417520932209Power 52^2
480517764306321perfect hash family
647718208413979perfect hash family
1000018356449865perfect hash family