Table for CAN(5,k,13) for k up to 10000

Last Updated Fri Sep 20 11:41:02 MST 2013

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,13) 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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14371293orthogonal array
15711828extended OA (Colbourn)
171048570orthogonal array fuse fuse fuse
181113853perfect hash family3,18,13,c
191113876perfect hash family3,19,14
281456611Martirosyan-Tran van Trung
312227752perfect hash family6,31,14
342599044perfect hash family7,34,14
362970253perfect hash family8,36,13,c
422970336perfect hash family8,42,14
433341533perfect hash family9,43,13,c
483341628perfect hash family9,48,14
523712813perfect hash family10,52,13,c
593712920perfect hash family10,59,14
1694084093perfect hash family11,169,13,c
1704084212Power CT13^2+1
1725428620Add 2 factors
1735771352Add 3 factors
1826113965Add 13 factors
1836114084Add 13 factors
1846799392Add 13 factors
1857458492Add 13 factors
1867801224Add 13 factors
1958143837Add 13 factors
1968143956Add 13 factors
3388572083Martirosyan-Tran van Trung
3408693882Martirosyan-Tran van Trung
3429379190Martirosyan-Tran van Trung
34410038290Martirosyan-Tran van Trung
34610381022Martirosyan-Tran van Trung
36410723635Martirosyan-Tran van Trung
36610891670Martirosyan-Tran van Trung
36812895178Martirosyan-Tran van Trung
36913416374Add 3 factors
37713589043Add 13 factors
37913759106Add 13 factors
39114158059Power N-CT23^2T6
41414223342Power N-CT23^2T5
43714223365Power N-CT23^2T4
59614566100Power N-CT29^2Arc(10)
61615225200Power N-CT29^2Arc(9)
63715884300Power N-CT29^2Arc(8)
73016022710Power CT27^2+1
73218606382Add 2 factors
73318949114Add 3 factors
75719179800Power N-CT29^2Arc(3)
78419838900Power N-CT29^2T1T1
81220498000Power N-CT29^2T1
84121157100Power N-CT29^2
86821506369Power N-CT31^2T3
89922165469Power N-CT31^2T2
96122277510Power N-CT31^2
160024505272perfect hash family66,1600,14
168226733015Power N-CT41^2+1
274427332856Power CT23^3T9T9T9
294027673391Power CT23^3T9T9T8
333228010133Power CT23^3T9T9T6
352828075416Power CT23^3T9T9T5
372428075439Power CT23^3T9T9T4
378028415951Power CT23^3T9T8T5
399028415974Power CT23^3T9T8T4
529228418174Power CT27^3T13T13
567028758709Power CT27^3T13T12
642629095451Power CT27^3T13T10
680429160734Power CT27^3T13T9
718229160757Power CT27^3T13T8
729029501269Power CT27^3T12T9
769529501292Power CT27^3T12T8
1000029503492Power CT27^3T13