Table for CAN(6,k,15) for k up to 10000

Last Updated Fri Mar 27 17:29:25 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;6,k,15) 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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815080613Augment OA
1716777214orthogonal array fuse
1824137565orthogonal array fuse fuse
1937899705Add 1 factors
2047045873orthogonal array fuse fuse fuse fuse
2162680755Add 3 factors
2367108852perfect hash family4,23,17
3279691774double OA (Colbourn-Zhou) fuse
3480736254double OA (Colbourn-Zhou) fuse
3598279172Martirosyan-TVT variant
37143637936Add 1 factors
38167757486Add 2 factors
39167772130perfect hash family10,39,17
40184549214perfect hash family11,40,16,c fuse
44184549343perfect hash family11,44,17
50201326556perfect hash family12,50,17
53218103769perfect hash family13,53,17
60234880982perfect hash family14,60,17
80251658014perfect hash family15,80,16,c fuse
85251658195Power CT17^2Tlev
119263048819Power CT17^2T10
136266738807Power CT17^2T9
256268435214perfect hash family16,256,16,c fuse
289268435408Power CT17^2
290337125568Add 1 factors
291368061718Add 2 factors
292390694468Add 3 factors
294419704671Add 5 factors
295435016593Add 6 factors
305444555088Add 16 factors
306483233808Add 17 factors
512536870414perfect hash family32,512,16,c fuse
513536870816perfect hash family32,513,17
514639318056Add 1 factors
515686149106Add 2 factors
516715444106Add 3 factors
517747011695Add 5 factors
518747012097Add 5 factors
519768900249Add 6 factors
521779133614Add 16 factors
525779379374Add 16 factors
528779609294Add 16 factors
529779609696Add 16 factors
545806982441Martirosyan-TVT variant
547823043595Martirosyan-TVT variant
557839071467Martirosyan-TVT variant
579947932460Martirosyan-TVT variant
5811010635411Martirosyan-TVT variant
5931099163259Add 16 factors
5941099961979Add 16 factors
6201162730694Power N-CT31^2T11
6511178365576Power N-CT31^2T10
7131182793673Power N-CT31^2T8
9621195376595Power N-CT31^2+1
9641211043795Power N-CT31^2+3
10241275068368Power CT32^2
10261291780048Power CT32^2+2
10271426108438Add 1 factors
10281482865138Add 2 factors
10291514758888Add 3 factors
10311547589523Add 5 factors
10401569721888Add 16 factors
10421586433568Add 16 factors
10431644905680Add 17 factors
10441751301825Power N-CT37^2Arc(10)
10451790717692Add 19 factors
10721791628545Power N-CT37^2Arc(9)
11011831955265Power N-CT37^2Arc(8)
11311872281985Power N-CT37^2Arc(7)
11621912608705Power N-CT37^2Arc(6)
11941952935425Power N-CT37^2Arc(5)
12271993262145Power N-CT37^2Arc(4)
12612033588865Power N-CT37^2Arc(3)
12962073915585Power N-CT37^2T1T1
13322114242305Power N-CT37^2T1
14252147483264perfect hash family128,1425,17
20232276314694Power CT31^3T24T14T14
23122280004682Power CT31^3T23T14T14
49132281701283Power CT31^3T14T14T14
52022289061634Power CT31^3T14T14T13
55082296421985Power CT31^3T14T13T13
58322303782336Power CT31^3T13T13T13
61562317544476Power CT31^3T13T13T12
64802326690644Power CT31^3T13T13T11
64982331306616Power CT31^3T13T12T12
66472332032921Power CT31^3T14T14T8
70382339393272Power CT31^3T14T13T8
92482344615843Power CT32^3T15T15
97922351976194Power CT32^3T15T14
100002359336545Power CT31^3T13T13