Table for CAN(6,k,23) for k up to 10000

Last Updated Sat Sep 16 02:03:55 MST 2017

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,23) 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
24148035889orthogonal array
26244140621orthogonal array fuse fuse
28387420481orthogonal array fuse fuse fuse fuse
31444107621SCPHF Random Extension (CLS)
41579270847Quint-Restricted SCPHF RE (C)
44585707167Quint-Restricted SCPHF RE (C)
52592143487SCPHF Random Extension (CLS)
70727306713Quint-Restricted SCPHF RE (C)
78733743033Quint-Restricted SCPHF RE (C)
86740179353SCPHF Random Extension (CLS)
148888215219SCPHF Random Extension (CLS)
2491036251085SCPHF Random Extension (CLS)
2501602647751Add 1 factors
2651708984221SCPHF Random Extension (CLS) fuse fuse
5292368573879perfect hash family16,529,23,c
5302368574208Power CT23^2+1
5313057834758Add 1 factors
5323341022212Add 2 factors
5533617935724Power CT25^2Arc(3)
5763714040456Power CT25^2T1T1
6003810145188Power CT25^2T1
6253906249621perfect hash family16,625,25,c fuse fuse
6263906249920Power CT25^2+1
6274737354414Add 1 factors
6285100983724Add 2 factors
6295401849300Add 3 factors
6305543448846Add 4 factors
6485679159265Add 23 factors
6495685048392Add 23 factors
6515768888100Power CT27^2Arc(3)
6765912167960Power CT27^2T1T1
7026055447820Power CT27^2T1
7306198727680Power CT27^2+1
7356217506504perfect hash family6,735,249
7446365542568Power N-CT31^2T7
8066461647300Power N-CT31^2T5
8686604927160Power N-CT31^2T3
9616661614300Power N-CT31^2
10146770494636Martirosyan-TVT
10156771029478Martirosyan-TVT variant
10586771564804Martirosyan-TVT
10596809795963Martirosyan-TVT variant
10606848026793Martirosyan-TVT
10627537287343Martirosyan-TVT
12507734281447perfect hash familyD16,1250,50^11 25^5
12717974628618Power N-CT41^2T10
13338058300778Power N-CT43^2T12
16818109791844Power N-CT41^2
17638193464004Power N-CT43^2T2
18508199900324Power N-CT43^2+1
19368277136164Power N-CT47^2T3T3
20688283572484Power N-CT47^2T3
22148290008804perfect hash family14,2214,52
22398560335256Power N-CT53^2Arc(12)
22818695498482Power N-CT53^2Arc(11)
23248830661708Power N-CT53^2Arc(10)
23688965824934Power N-CT53^2Arc(9)
24139100988160Power N-CT53^2Arc(8)
24599236151386Power N-CT53^2Arc(7)
26119249024004Power N-CT73^2Trin3,21,21
27049255460324Power N-CT73^2T21T21
27569371314590Power N-CT73^2Trin3,3,32
29579377750910Power N-CT73^2Trin3,3,29
34939384187230Power N-CT73^2Trin3,3,21
36409390623550Power N-CT73^2T21T3
37969397059870Power N-CT73^2T21
38119435677790Power N-CT79^2Arc(6)T27
38589442114110Power N-CT79^2Arc(5)T27
39069448550430Power N-CT79^2Arc(4)T27
39559454986750Power N-CT79^2Arc(3)T27
40059461423070Power N-CT79^2Arc(2)T27
40569467859390Power N-CT79^2T27T1
43169474295710Power N-CT83^2T31
46999519350456Power N-CT73^2Trin3,3,3
49009525786776Power N-CT73^2T3T3
51109532223096Power N-CT73^2T3
53349538659416perfect hash family13,5334,78
53599545095736Power N-CT79^2Arc(12)
54279551532056Power N-CT79^2Arc(11)
54969557968376Power N-CT79^2Arc(10)
55669564404696Power N-CT79^2Arc(9)
56379570841016Power N-CT79^2Arc(8)
57099577277336Power N-CT79^2Arc(7)
57829583713656Power N-CT79^2Arc(6)
58569590149976Power N-CT79^2Arc(5)
59319596586296Power N-CT79^2Arc(4)
60079603022616Power N-CT79^2Arc(3)
60849609458936Power N-CT79^2T1T1
64749615895256Power N-CT83^2T5
68929622331576Power N-CT83^2+3
714711102690236Power N-CT89^2Trin3,3,3
739611250726102Power N-CT89^2T3T3
809411385889328perfect hash family13,14478,126T56
900611392325648perfect hash family13,14478,126T48
991811398761968perfect hash family13,14478,126T40
1000011546797834Power N-CT101^2
 Graph: