Table for CAN(6,k,21) 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,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
24148035885orthogonal array fuse fuse
26244140617orthogonal array fuse fuse fuse fuse
28387420477orthogonal array fuse fuse fuse fuse fuse fuse
294440954733-Restricted SCPHF RE (CL) fuse fuse
304441071112-Restricted SCPHF RE (CL) fuse fuse
31444107617SCPHF Random Extension (CLS) fuse fuse
415792708435-Restricted SCPHF RE (CL) fuse fuse
445857071635-Restricted SCPHF RE (CL) fuse fuse
485918636654-Restricted SCPHF RE (CL) fuse fuse
505921313393-Restricted SCPHF RE (CL) fuse fuse
515921429772-Restricted SCPHF RE (CL) fuse fuse
52592143483SCPHF Random Extension (CLS) fuse fuse
707273067095-Restricted SCPHF RE (CL) fuse fuse
787337430295-Restricted SCPHF RE (CL) fuse fuse
857398995314-Restricted SCPHF RE (CL) fuse fuse
877401672053-Restricted SCPHF RE (CL) fuse fuse
1068689062555-Restricted SCPHF RE (CL) fuse fuse
1198753425755-Restricted SCPHF RE (CL) fuse fuse
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
2501506381021Add 1 factors
2651708984217SCPHF Random Extension (CLS) fuse fuse fuse fuse
2662278573937Add 1 factors
5292368573875perfect hash family16,529,23,c fuse fuse
5302368574144Power CT23^2+1
5312940685964Add 1 factors
5323155267744Add 2 factors
5333336783344Add 3 factors
5343541726632Add 5 factors
5353541939903Add 5 factors
5533617935660Power CT25^2Arc(3)
5763714040392Power CT25^2T1T1
6003810145124Power CT25^2T1
6253906249617perfect hash family16,625,25,c fuse fuse fuse fuse
6263906249856Power CT25^2+1
6274596097756Add 1 factors
6284871643376Add 2 factors
6295057974696Add 3 factors
6305259902550Add 5 factors
6315266894867Add 5 factors
6325378284672Add 6 factors
6485632467099Add 23 factors
6495641101216Add 23 factors
6515768888036Power CT27^2Arc(3)
6765912167896Power CT27^2T1T1
7026055447756Power CT27^2T1
7306198727616Power CT27^2+1
7356217506480perfect hash family6,735,249
7446365542508Power N-CT31^2T7
7546461477224Power N-CT29^2T3
7556461646228Power N-CT31^2Arc(2)T5
7806461646734Power N-CT31^2T5T1
8066461647240Power N-CT31^2T5
8656522171438Martirosyan-TVT variant
9616524895780Martirosyan-TVT variant
10146527620122Martirosyan-TVT
10156528154876Martirosyan-TVT variant
10576528690114Martirosyan-TVT variant
10586531414456Martirosyan-TVT
10596555167965Martirosyan-TVT variant
10606578921205Martirosyan-TVT
10627151033025Martirosyan-TVT
10647365614805Martirosyan-TVT
10667547130405Martirosyan-TVT
12507734147799perfect 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
18508199900268Power N-CT43^2+1
19278273498474Power N-CT47^2T6
19368273778292Power N-CT47^2T3T3
20688279934794Power N-CT47^2T3
22108286091296Power N-CT47^2+1
22128289838732Power N-CT47^2+3
22138290001664perfect hash family14,2213,51
22148290008748perfect hash family14,2214,52
22398560335200Power N-CT53^2Arc(12)
22818695498426Power N-CT53^2Arc(11)
23248830661652Power N-CT53^2Arc(10)
23688965824878Power N-CT53^2Arc(9)
24139100988104Power N-CT53^2Arc(8)
24599236151330Power N-CT53^2Arc(7)
24669249011302Power N-CT73^2Trin3,22,23
25139249011808Power N-CT73^2Trin3,21,23
25149249022940Power N-CT73^2Trin3,22,22
25629249023446Power N-CT73^2Trin3,21,22
26119249023952Power N-CT73^2Trin3,21,21
26529255459766Power N-CT73^2T22T21
27049255460272Power N-CT73^2T21T21
27569371314538Power N-CT73^2Trin3,3,32
29579377750858Power N-CT73^2Trin3,3,29
32259383907360Power N-CT73^2Trin3,3,25
33599384175034Power N-CT73^2Trin3,3,23
34269384186672Power N-CT73^2Trin3,3,22
34939384187178Power N-CT73^2Trin3,3,21
35009390611354Power N-CT73^2T23T3
35709390622992Power N-CT73^2T22T3
36409390623498Power N-CT73^2T21T3
36509397047674Power N-CT73^2T23
37239397059312Power N-CT73^2T22
37969397059818Power N-CT73^2T21
38119433998830Power N-CT79^2Arc(6)T27
38589440155332Power N-CT79^2Arc(5)T27
39069446311834Power N-CT79^2Arc(4)T27
39559452468336Power N-CT79^2Arc(3)T27
40059458624838Power N-CT79^2Arc(2)T27
40569464781340Power N-CT79^2T27T1
41509470925698Power N-CT83^2T33
42339470937336Power N-CT83^2T32
43169470937842Power 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
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