Table for CAN(6,k,16) 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,16) 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
1716777216orthogonal array
1824137567orthogonal array fuse
1939866207Add a factor
2047045875orthogonal array fuse fuse fuse
2167108816perfect hash family4,21,16,c
2367108860perfect hash family4,23,17
3482837504Martirosyan-Tran van Trung
36109985476Martirosyan-Tran van Trung
37157912756Add a factor
39167772150perfect hash family10,39,17
40184549216perfect hash family11,40,16,c
44184549365perfect hash family11,44,17
50201326580perfect hash family12,50,17
53218103795perfect hash family13,53,17
60234881010perfect hash family14,60,17
80251658016perfect hash family15,80,16,c
85251658225Power 17^2Tlev
256268435216perfect hash family16,256,16,c
289268435440Power 17^2
290351210000Add a factor
291447897120Add a factor
292469762020perfect hash family28,292,17
293520093665perfect hash family31,293,17
512536870416perfect hash family32,512,16,c
513536870880perfect hash family32,513,17
514662454000Add a factor
516754974675perfect hash family45,516,17
517880557795Add a factor
544896801643Martirosyan-Tran van Trung
576933060239Martirosyan-Tran van Trung
578995098609perfect hash familyD16,578,34^11 17^5
5791155180769Add a factor
5801179841583Martirosyan-Tran van Trung
5891199591248Power N31^2T12
6201206770916Power N31^2T11
6511226833857Power N31^2T10
7131226833901Power N31^2T8
9641242562545Power N31^2+3
10261325400048Power 32^2+2
10271502531088Add a factor
10281679662128Add a factor
10291856793168Add a factor
10561879048080perfect hash family112,1056,17
10721937345805Power N37^2S9
11011985273085Power N37^2S8
11312033200365Power N37^2S7
11622081127645Power N37^2S6
11942129054925Power N37^2S5
14252147483520perfect hash family128,1425,17
14262324614560Add a factor
14282365587315perfect hash family141,1428,17
15362415916816perfect hash family144,1536,16,c
17282415918960perfect hash family144,1728,17
92482435842017Power 32^3T15T15
97922443202368Power 32^3T15T14
100002450562719Power 31^3T13T13
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