Table for CAN(6,k,25) for k up to 10000

Last Updated Tue Jan 31 05:20:10 MST 2012

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,25) 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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kNSource
26244140625orthogonal array
28387420485orthogonal array fuse fuse
30594823313orthogonal array fuse fuse fuse fuse
32887503669orthogonal array fuse fuse fuse fuse fuse fuse
35976562425perfect hash family4,35,25,c
501181640625double OA (Colbourn-Zhou)
521191390625double OA (Colbourn-Zhou)
531723515625Add a factor
561883263604Martirosyan-Tran van Trung
572441406240perfect hash family10,57,26
652685546625perfect hash family11,65,25,c
662685546864perfect hash family11,66,26
692929687225perfect hash family12,69,25,c
722929687488perfect hash family12,72,26
753417968425perfect hash family14,75,25,c
803417968736perfect hash family14,80,26
1253662109025perfect hash family15,125,25,c
6253906249625perfect hash family16,625,25,c
6263906249984Power CT25^2+1
6275049624984Add a factor
6515768888164Power CT27^2Arc(3)
6765912168024Power CT27^2T1T1
7026055447884Power CT27^2T1
7306198727744Power CT27^2+1
7317873011544Add a factor
7578300141196Power N-CT29^2Arc(3)
7848507544024Power N-CT29^2T1T1
8128714946852Power N-CT29^2T1
8428922349680Power N-CT29^2+1
84310795474680Add a factor
86411962889425perfect hash family49,864,25,c
87112434513952Power N-CT31^2Arc(3)
87512695311225perfect hash family52,875,25,c
90012727194308Power N-CT31^2T1T1
106413000421260Martirosyan-Tran van Trung
125013234790500Martirosyan-Tran van Trung
125214116796595Martirosyan-Tran van Trung
131615748748596Power N-CT47^2T19
141015956151424Power N-CT47^2T17
150416248831780Power N-CT47^2T15
164516337890536Power N-CT47^2T12
221216542968736Power N-CT47^2+3
223917743718736Power N-CT53^2Arc(12)
935118088839984Power CT31^3T5S30
1000018232119844Power CT31^3T3S30
 Graph: