Table for CAN(6,k,23) 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,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
294440954773-Restricted SCPHF RE (CL)
304441071152-Restricted SCPHF RE (CL)
31444107621SCPHF Random Extension (CLS)
415792708475-Restricted SCPHF RE (CL)
445857071675-Restricted SCPHF RE (CL)
485918636694-Restricted SCPHF RE (CL)
505921313433-Restricted SCPHF RE (CL)
515921429812-Restricted SCPHF RE (CL)
52592143487SCPHF Random Extension (CLS)
707273067135-Restricted SCPHF RE (CL)
787337430335-Restricted SCPHF RE (CL)
857398995354-Restricted SCPHF RE (CL)
877401672093-Restricted SCPHF RE (CL)
1068689062595-Restricted SCPHF RE (CL)
1198753425795-Restricted SCPHF RE (CL)
1338817788995-Restricted SCPHF RE (CL)
1458879354014-Restricted SCPHF RE (CL)
1468882147132-Restricted SCPHF RE (CL)
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
7546461477284Power N-CT29^2T3
7556461646288Power N-CT31^2Arc(2)T5
7806461646794Power N-CT31^2T5T1
8066461647300Power N-CT31^2T5
8126604757144Power N-CT29^2T1
8136604926148Power N-CT31^2Arc(2)T3
8406604926654Power N-CT31^2T3T1
8686604927160Power N-CT31^2T3
8706661601650Power N-CT31^2T2T1
8996661602156Power N-CT31^2T2
9006661613288Power N-CT31^2T1T1
9306661613794Power N-CT31^2T1
9616661614300Power N-CT31^2
10146770494636Martirosyan-TVT
10156771029478Martirosyan-TVT variant
10586771564804Martirosyan-TVT
10596809272253Martirosyan-TVT variant
10606846979373Martirosyan-TVT
10627536239923Martirosyan-TVT
12507734147863perfect hash familyD16,1250,50^11 25^5
12717974628618Power N-CT41^2T10
12908058300272Power N-CT43^2T13
13338058300778Power N-CT43^2T12
16818109791844Power N-CT41^2
17638193464004Power N-CT43^2T2
18508199900324Power N-CT43^2+1
19278273498530Power N-CT47^2T6
19368273778348Power N-CT47^2T3T3
20688279934850Power N-CT47^2T3
22108286091352Power N-CT47^2+1
22128289838788Power N-CT47^2+3
22138290001720perfect hash family14,2213,51
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)
24669249011354Power N-CT73^2Trin3,22,23
25139249011860Power N-CT73^2Trin3,21,23
25149249022992Power N-CT73^2Trin3,22,22
25629249023498Power N-CT73^2Trin3,21,22
26119249024004Power N-CT73^2Trin3,21,21
26529255459818Power N-CT73^2T22T21
27049255460324Power N-CT73^2T21T21
27569371314590Power N-CT73^2Trin3,3,32
29579377750910Power N-CT73^2Trin3,3,29
32259383907412Power N-CT73^2Trin3,3,25
33599384175086Power N-CT73^2Trin3,3,23
34269384186724Power N-CT73^2Trin3,3,22
34939384187230Power N-CT73^2Trin3,3,21
35009390611406Power N-CT73^2T23T3
35709390623044Power N-CT73^2T22T3
36409390623550Power N-CT73^2T21T3
36509397047726Power N-CT73^2T23
37239397059364Power N-CT73^2T22
37969397059870Power N-CT73^2T21
38119433998882Power N-CT79^2Arc(6)T27
38589440155384Power N-CT79^2Arc(5)T27
39069446311886Power N-CT79^2Arc(4)T27
39559452468388Power N-CT79^2Arc(3)T27
40059458624890Power N-CT79^2Arc(2)T27
40569464781392Power N-CT79^2T27T1
41509470925750Power N-CT83^2T33
42339470937388Power N-CT83^2T32
43169470937894Power N-CT83^2T31
46999519350456Power N-CT73^2Trin3,3,3
49009525786776Power N-CT73^2T3T3
51109532223096Power N-CT73^2T3
53349538659416perfect hash family13,5334,78
53599544815918Power N-CT79^2Arc(12)
54279550972420Power N-CT79^2Arc(11)
54969557128922Power N-CT79^2Arc(10)
55669563285424Power N-CT79^2Arc(9)
56379569441926Power N-CT79^2Arc(8)
57099575598428Power N-CT79^2Arc(7)
57829581754930Power N-CT79^2Arc(6)
58569587911432Power N-CT79^2Arc(5)
59319594067934Power N-CT79^2Arc(4)
60079600224436Power N-CT79^2Arc(3)
60849606380938Power N-CT79^2T1T1
64749612537440Power N-CT83^2T5
68919618693942Power N-CT83^2+2
68939622173704perfect hash family13,6893,87
690110908761182Power N-CT89^2Trin4,4,4
706310909028856Power N-CT89^2Trin2,4,4
722910909296530Power N-CT89^2Trin2,2,4
739910909564204Power N-CT89^2Trin2,2,2
756911038303254Power N-CT89^2T2T2
803411160618128perfect hash family13,10609,103T25
875511166774630perfect hash family13,10609,103T18
896111167042304perfect hash family13,10609,103T16
960511244010470perfect hash family13,12769,113T28
983111244278144perfect hash family13,12769,113T26
1000011295781354Power N-CT101^2
 Graph: