Table for CAN(6,k,24) for k up to 10000

Last Updated Fri Sep 20 11:45:18 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;6,k,24) 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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26244140623orthogonal array fuse
28387420483orthogonal array fuse fuse fuse
30594823311orthogonal array fuse fuse fuse fuse fuse
32887503667orthogonal array fuse fuse fuse fuse fuse fuse fuse
35976562423perfect hash family4,35,25,c fuse
501181640623double OA (Colbourn-Zhou) fuse
521191390623double OA (Colbourn-Zhou) fuse
531694166483Add 25 factors
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572441406220perfect hash family10,57,26
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652685546623perfect hash family11,65,25,c fuse
662685546842perfect hash family11,66,26
692929687223perfect hash family12,69,25,c fuse
722929687464perfect hash family12,72,26
753162332423Add 25 factors
773172082423Add 25 factors
803417968708perfect hash family14,80,26
1253662109023perfect hash family15,125,25,c fuse
1753853212305Power CT25^2T18
2003870191208Power CT25^2T17
2253879238246Power CT25^2T16
2503888678633Power CT25^2T15
2753898529472Power CT25^2T14
6253906249623perfect hash family16,625,25,c fuse
6263906249952Power CT25^2+1
6274958153848Add 1 factors
6285372114104Add 2 factors
6295753020600Add 3 factors
6515768888132Power CT27^2Arc(3)
6765912167992Power CT27^2T1T1
7026055447852Power CT27^2T1
7306198727712Power CT27^2+1
7317604567936Add 1 factors
7328125995968Add 2 factors
7578300141166Power N-CT29^2Arc(3)
7848507543994Power N-CT29^2T1T1
8128714946822Power N-CT29^2T1
8428922349650Power N-CT29^2+1
84310554423210Add 1 factors
84411200488426Add 2 factors
84511627497962Add 3 factors
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141015956151396Power N-CT47^2T17
150416248831752Power N-CT47^2T15
164516337890508Power N-CT47^2T12
221216542968708Power N-CT47^2+3
223917685020428Power N-CT53^2Arc(12)
252518035802275Power CT31^3T24S30
288518052781178Power CT31^3T23S30
324318061828216Power CT31^3T22S30
360218071268603Power CT31^3T21S30
396218081119442Power CT31^3T20S30
935118088839922Power CT31^3T5S30
1000018232119782Power CT31^3T3S30