Table for CAN(6,k,22) for k up to 10000

Last Updated Tue Nov 21 02:19:04 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
294440954753-Restricted SCPHF RE (CL) fuse
304441071132-Restricted SCPHF RE (CL) fuse
31444107619SCPHF Random Extension (CLS) fuse
415792708455-Restricted SCPHF RE (CL) fuse
445857071655-Restricted SCPHF RE (CL) fuse
485918636674-Restricted SCPHF RE (CL) fuse
505921313413-Restricted SCPHF RE (CL) fuse
515921429792-Restricted SCPHF RE (CL) fuse
52592143485SCPHF Random Extension (CLS) fuse
707273067115-Restricted SCPHF RE (CL) fuse
787337430315-Restricted SCPHF RE (CL) fuse
857398995334-Restricted SCPHF RE (CL) fuse
877401672073-Restricted SCPHF RE (CL) fuse
1068689062575-Restricted SCPHF RE (CL) fuse
1198753425775-Restricted SCPHF RE (CL) fuse
1338817788975-Restricted SCPHF RE (CL) fuse
1458879353994-Restricted SCPHF RE (CL) fuse
1468882147112-Restricted SCPHF RE (CL) 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
7546461477254Power N-CT29^2T3
7556461646258Power N-CT31^2Arc(2)T5
7806461646764Power N-CT31^2T5T1
8066461647270Power N-CT31^2T5
8126604757114Power N-CT29^2T1
8136604926118Power N-CT31^2Arc(2)T3
8406604926624Power N-CT31^2T3T1
8686604927130Power N-CT31^2T3
10096654505953Martirosyan-TVT variant
10146657230299Martirosyan-TVT
10156657765097Martirosyan-TVT variant
10586658300379Martirosyan-TVT
10596682781058Martirosyan-TVT variant
10606707261438Martirosyan-TVT
10627336585364Martirosyan-TVT
10647583885648Martirosyan-TVT
12507734147831perfect hash familyD16,1250,50^11 25^5
12717974628590Power N-CT41^2T10
12908058300244Power N-CT43^2T13
13338058300750Power N-CT43^2T12
16818109791816Power N-CT41^2
17638193463976Power N-CT43^2T2
18508199900296Power N-CT43^2+1
19278273498502Power N-CT47^2T6
19368273778320Power N-CT47^2T3T3
20688279934822Power N-CT47^2T3
22108286091324Power N-CT47^2+1
22128289838760Power N-CT47^2+3
22138290001692perfect hash family14,2213,51
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)
24669249011328Power N-CT73^2Trin3,22,23
25139249011834Power N-CT73^2Trin3,21,23
25149249022966Power N-CT73^2Trin3,22,22
25629249023472Power N-CT73^2Trin3,21,22
26119249023978Power N-CT73^2Trin3,21,21
26529255459792Power N-CT73^2T22T21
27049255460298Power N-CT73^2T21T21
27569371314564Power N-CT73^2Trin3,3,32
29579377750884Power N-CT73^2Trin3,3,29
32259383907386Power N-CT73^2Trin3,3,25
33599384175060Power N-CT73^2Trin3,3,23
34269384186698Power N-CT73^2Trin3,3,22
34939384187204Power N-CT73^2Trin3,3,21
35009390611380Power N-CT73^2T23T3
35709390623018Power N-CT73^2T22T3
36409390623524Power N-CT73^2T21T3
36509397047700Power N-CT73^2T23
37239397059338Power N-CT73^2T22
37969397059844Power N-CT73^2T21
38119433998856Power N-CT79^2Arc(6)T27
38589440155358Power N-CT79^2Arc(5)T27
39069446311860Power N-CT79^2Arc(4)T27
39559452468362Power N-CT79^2Arc(3)T27
40059458624864Power N-CT79^2Arc(2)T27
40569464781366Power N-CT79^2T27T1
41509470925724Power N-CT83^2T33
42339470937362Power N-CT83^2T32
43169470937868Power N-CT83^2T31
46999519350430Power N-CT73^2Trin3,3,3
49009525786750Power N-CT73^2T3T3
51109532223070Power N-CT73^2T3
53349538659390perfect hash family13,5334,78
53599544815892Power N-CT79^2Arc(12)
54279550972394Power N-CT79^2Arc(11)
54969557128896Power N-CT79^2Arc(10)
55669563285398Power N-CT79^2Arc(9)
56379569441900Power N-CT79^2Arc(8)
57099575598402Power N-CT79^2Arc(7)
57829581754904Power N-CT79^2Arc(6)
58569587911406Power N-CT79^2Arc(5)
59319594067908Power N-CT79^2Arc(4)
60079600224410Power N-CT79^2Arc(3)
60849606380912Power N-CT79^2T1T1
64749612537414Power N-CT83^2T5
68919618693916Power N-CT83^2+2
68939622173678perfect hash family13,6893,87
690110908761156Power N-CT89^2Trin4,4,4
706310909028830Power N-CT89^2Trin2,4,4
722910909296504Power N-CT89^2Trin2,2,4
739910909564178Power N-CT89^2Trin2,2,2
756911038303228Power N-CT89^2T2T2
803411160618102perfect hash family13,10609,103T25
875511166774604perfect hash family13,10609,103T18
896111167042278perfect hash family13,10609,103T16
960511244010444perfect hash family13,12769,113T28
983111244278118perfect hash family13,12769,113T26
1000011295781328Power N-CT101^2
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