Table for CAN(6,k,21) for k up to 10000

Last Updated Sun Jul 29 04:37:25 MST 2018

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,21) 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
785766121composition
8104648405Augment OA
9115485066Augment OA
10127301940Augment OA
11140142906Augment OA
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304441071112-Restricted SCPHF RE (CL) fuse fuse
31444107617SCPHF Random Extension (CLS) fuse fuse
415792708435,5-Restricted SCPHF RE (CL) fuse fuse
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515918636654-Restricted SCPHF RE (CL) fuse fuse
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857398995314-Restricted SCPHF RE (CL) fuse fuse
877401672053-Restricted SCPHF RE (CL) fuse fuse
1068689062555,5,5-Restricted SCPHF RE (CL) fuse fuse
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1338817788955-Restricted SCPHF RE (CL) fuse fuse
1458879353974-Restricted SCPHF RE (CL) fuse fuse
1468882147092-Restricted SCPHF RE (CL) fuse fuse
148888215215SCPHF Random Extension (CLS) fuse fuse
2491036251081SCPHF Random Extension (CLS) fuse fuse
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5302368574144Power CT23^2+1
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5353541939903Add 5 factors
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6305259902130Add 5 factors
6315266894867Add 5 factors
6325378284672Add 6 factors
6485632466593Add 23 factors
6495641101216Add 23 factors
6515768888036Power CT27^2Arc(3)
6765912167896Power CT27^2T1T1
7026055447756Power CT27^2T1
7306198727616Power CT27^2+1
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7446365542508Power N-CT31^2T7
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10596549570625Martirosyan-TVT variant
10606573322885Martirosyan-TVT
10627145434705Martirosyan-TVT
10647360016485Martirosyan-TVT
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12507731203385perfect hash familyD16,1250,50^11 25^5
12717974628562Power N-CT41^2T10
12908058300216Power N-CT43^2T13
13338058300722Power N-CT43^2T12
16818109791788Power N-CT41^2
17638193463948Power N-CT43^2T2
18518199900268Power N-CT43^2+2
19398267621790Power N-CT47^2Trin2,2,2
20258273778292Power N-CT47^2T2T2
21158279934794Power N-CT47^2T2
22138286091296perfect hash family14,2213,51
22148290001664perfect hash family14,2214,52
22398560329128Power N-CT53^2Arc(12)
22818695492860Power N-CT53^2Arc(11)
23248830656592Power N-CT53^2Arc(10)
23688965820324Power N-CT53^2Arc(9)
24139100984056Power N-CT53^2Arc(8)
24599236147788Power N-CT53^2Arc(7)
25149248464316Power N-CT73^2Trin3,22,22
25629248743628Power N-CT73^2Trin3,21,22
26119249022940Power N-CT73^2Trin3,21,21
26529255179948Power N-CT73^2T22T21
27049255459260Power N-CT73^2T21T21
27569371314538Power N-CT73^2Trin3,3,32
30249377750858Power N-CT73^2Trin3,3,28
34269383907360Power N-CT73^2Trin3,3,22
34939384186672Power N-CT73^2Trin3,3,21
35709390343680Power N-CT73^2T22T3
36409390622992Power N-CT73^2T21T3
37239396780000Power N-CT73^2T22
37969397059312Power N-CT73^2T21
38119433998324Power N-CT79^2Arc(6)T27
38589440154826Power N-CT79^2Arc(5)T27
39069446311328Power N-CT79^2Arc(4)T27
39559452467830Power N-CT79^2Arc(3)T27
40059458624332Power N-CT79^2Arc(2)T27
40569464780834Power N-CT79^2T27T1
42339470658024Power N-CT83^2T32
43169470937336Power N-CT83^2T31
46999519350404Power N-CT73^2Trin3,3,3
49009525786724Power N-CT73^2T3T3
51109532223044Power N-CT73^2T3
53349538659364perfect hash family13,5334,78
53599544815866Power N-CT79^2Arc(12)
54279550972368Power N-CT79^2Arc(11)
54969557128870Power N-CT79^2Arc(10)
55669563285372Power N-CT79^2Arc(9)
56379569441874Power N-CT79^2Arc(8)
57099575598376Power N-CT79^2Arc(7)
57829581754878Power N-CT79^2Arc(6)
58569587911380Power N-CT79^2Arc(5)
59319594067882Power N-CT79^2Arc(4)
60079600224384Power N-CT79^2Arc(3)
60849606380886Power N-CT79^2T1T1
64749612537388Power N-CT83^2T5
68919618693890Power N-CT83^2+2
68939622173652perfect hash family13,6893,87
689410868611432Add 1 factors
690110908761130Power N-CT89^2Trin4,4,4
706310909028804Power N-CT89^2Trin2,4,4
722910909296478Power N-CT89^2Trin2,2,4
739910909564152Power N-CT89^2Trin2,2,2
756911038303202Power N-CT89^2T2T2
803411160618076perfect hash family13,10609,103T25
875511166774578perfect hash family13,10609,103T18
896111167042252perfect hash family13,10609,103T16
960511244010418perfect hash family13,12769,113T28
983111244278092perfect hash family13,12769,113T26
1000011295781302Power N-CT101^2
 Graph: