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

Last Updated Fri Mar 27 17:29:14 MST 2015

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
292115711Add 1 factors
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
843712920Power N-CT9^2+3
1694084093perfect hash family11,169,13,c
1704084212Power CT13^2+1
1714769520Add 1 factors
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
36712185378Add 1 factors
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
73117630914Add 1 factors
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
96223887586Add 1 factors
160024505272perfect hash family66,1600,14
160126115348Add 1 factors
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