Table for CAN(6,k,22) 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,22) 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
7113379904composition
24148035887orthogonal array fuse
26244140619orthogonal array fuse fuse fuse
28387420479orthogonal array fuse fuse fuse fuse fuse
31444107619SCPHF Random Extension (CLS) fuse
41579270845Quint-Restricted SCPHF RE (C) fuse
44585707165Quint-Restricted SCPHF RE (C) fuse
52592143485SCPHF Random Extension (CLS) fuse
70727306711Quint-Restricted SCPHF RE (C) fuse
78733743031Quint-Restricted SCPHF RE (C) fuse
86740179351SCPHF Random Extension (CLS) fuse
148888215217SCPHF Random Extension (CLS) fuse
2491036251083SCPHF Random Extension (CLS) fuse
2501553394941Add 1 factors
2651708984219SCPHF Random Extension (CLS) fuse fuse fuse
2662338308145Add 1 factors
5292368573877perfect hash family16,529,23,c fuse
5302368574176Power CT23^2+1
5312997898102Add 1 factors
5323245198386Add 2 factors
5333565308792Add 3 factors
5533617935692Power CT25^2Arc(3)
5763714040424Power CT25^2T1T1
6003810145156Power CT25^2T1
6253906249619perfect hash family16,625,25,c fuse fuse fuse
6263906249888Power CT25^2+1
6274665083502Add 1 factors
6284982637354Add 2 factors
6295330600464Add 3 factors
6305507017524Add 5 factors
6315510546307Add 5 factors
6325593653999Add 6 factors
6485650960895Add 23 factors
6495654776910Add 23 factors
6515768888068Power CT27^2Arc(3)
6765912167928Power CT27^2T1T1
7026055447788Power CT27^2T1
7306198727648Power CT27^2+1
7356217506492perfect hash family6,735,249
7446365542538Power N-CT31^2T7
8066461647270Power N-CT31^2T5
8686604927130Power N-CT31^2T3
10096654505953Martirosyan-TVT variant
10146657230299Martirosyan-TVT
10156657765097Martirosyan-TVT variant
10586658300379Martirosyan-TVT
10596682781058Martirosyan-TVT variant
10606707261438Martirosyan-TVT
10627336585364Martirosyan-TVT
10647583885648Martirosyan-TVT
12507734281415perfect hash familyD16,1250,50^11 25^5
12717974628590Power N-CT41^2T10
13338058300750Power N-CT43^2T12
16818109791816Power N-CT41^2
17638193463976Power N-CT43^2T2
18508199900296Power N-CT43^2+1
19368277136136Power N-CT47^2T3T3
20688283572456Power N-CT47^2T3
22148290008776perfect hash family14,2214,52
22398560335228Power N-CT53^2Arc(12)
22818695498454Power N-CT53^2Arc(11)
23248830661680Power N-CT53^2Arc(10)
23688965824906Power N-CT53^2Arc(9)
24139100988132Power N-CT53^2Arc(8)
24599236151358Power N-CT53^2Arc(7)
26119249023978Power N-CT73^2Trin3,21,21
27049255460298Power N-CT73^2T21T21
27569371314564Power N-CT73^2Trin3,3,32
29579377750884Power N-CT73^2Trin3,3,29
34939384187204Power N-CT73^2Trin3,3,21
36409390623524Power N-CT73^2T21T3
37969397059844Power N-CT73^2T21
38119435677764Power N-CT79^2Arc(6)T27
38589442114084Power N-CT79^2Arc(5)T27
39069448550404Power N-CT79^2Arc(4)T27
39559454986724Power N-CT79^2Arc(3)T27
40059461423044Power N-CT79^2Arc(2)T27
40569467859364Power N-CT79^2T27T1
43169474295684Power N-CT83^2T31
46999519350430Power N-CT73^2Trin3,3,3
49009525786750Power N-CT73^2T3T3
51109532223070Power N-CT73^2T3
53349538659390perfect hash family13,5334,78
53599545095710Power N-CT79^2Arc(12)
54279551532030Power N-CT79^2Arc(11)
54969557968350Power N-CT79^2Arc(10)
55669564404670Power N-CT79^2Arc(9)
56379570840990Power N-CT79^2Arc(8)
57099577277310Power N-CT79^2Arc(7)
57829583713630Power N-CT79^2Arc(6)
58569590149950Power N-CT79^2Arc(5)
59319596586270Power N-CT79^2Arc(4)
60079603022590Power N-CT79^2Arc(3)
60849609458910Power N-CT79^2T1T1
64749615895230Power N-CT83^2T5
68929622331550Power N-CT83^2+3
689310993414032Add 1 factors
714711102690210Power N-CT89^2Trin3,3,3
739611250726076Power N-CT89^2T3T3
809411385889302perfect hash family13,14478,126T56
900611392325622perfect hash family13,14478,126T48
991811398761942perfect hash family13,14478,126T40
1000011546797808Power N-CT101^2
 Graph: