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

Last Updated Sun Nov 22 06:45:17 MST 2009

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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kNSource
711390625composition
815165027Add a symbol
1716777214orthogonal array fuse
1824137565orthogonal array fuse fuse
1937899705Add a factor
2047045873orthogonal array fuse fuse fuse fuse
2167108814perfect hash family4,21,16,c fuse
2367108852perfect hash family4,23,17
3481321023Martirosyan-Tran van Trung
36103312746Martirosyan-Tran van Trung
37143687766Add a factor
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 17^2Tlev
119263048819Power 17^2T10
136266823221Power 17^2T9
256268435214perfect hash family16,256,16,c fuse
289268435408Power 17^2
290340862728Add a factor
291425463538Add a factor
292469761964perfect hash family28,292,17
293520093603perfect hash family31,293,17
512536870414perfect hash family32,512,16,c fuse
513536870816perfect hash family32,513,17
514646755626Add a factor
516754974585perfect hash family45,516,17
517864859395Add a factor
544881860817Martirosyan-Tran van Trung
576917854683Martirosyan-Tran van Trung
578978417308perfect hash familyD16,578,34^11 17^5
5791116086588Add a factor
5801122422649Martirosyan-Tran van Trung
5891176394012Power N31^2T12
6201185540180Power N31^2T11
6511205603121Power N31^2T10
7131205603159Power N31^2T8
9641219815330Power N31^2+3
10261301136352Power 32^2+2
10271456125592Add a factor
10281611114832Add a factor
10441751566275Power N37^2S10
10721791941295Power N37^2S9
11011832316315Power N37^2S8
11311872691335Power N37^2S7
11621913066355Power N37^2S6
11941953441375Power N37^2S5
12271993816395Power N37^2S4
12612034191415Power N37^2S3
12962074566435Power N37^2T1T1
13322114941455Power N37^2T1
14252147483264perfect hash family128,1425,17
14262302472504Add a factor
14282365587033perfect hash family141,1428,17
15682381090886Power 32^3T25T25
17922384865288Power 32^3T25T24
38082386477475Power 32^3T25T15
43522390251877Power 32^3T24T15
92482391864064Power 32^3T15T15
97922399224415Power 32^3T15T14
100002406584766Power 31^3T13T13
 Graph: