Table for CAN(6,k,19) for k up to 10000

Last Updated Sat Mar 17 05:23:59 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,19) 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
2047045881orthogonal array
2191485342extended OA (Colbourn)
22136055124Add 1 factors
251386615255-Restricted SCPHF RE (CL)
271410073034-Restricted SCPHF RE (CL)
29141137605SCPHF Random Extension (CLS)
371832313075-Restricted SCPHF RE (CL)
401857073875-Restricted SCPHF RE (CL)
441880531654-Restricted SCPHF RE (CL)
451881766273-Restricted SCPHF RE (CL)
46188183521CPHF Random Extension (CLS)
592302771695-Restricted SCPHF RE (CL)
652327532495-Restricted SCPHF RE (CL)
702350990274-Restricted SCPHF RE (CL)
722352224893-Restricted SCPHF RE (CL)
742352289872-Restricted SCPHF RE (CL)
76235229401CPHF Random Extension (CLS)
872748469515-Restricted SCPHF RE (CL)
1002773230315-Restricted SCPHF RE (CL)
1102797991115-Restricted SCPHF RE (CL)
1182821448894-Restricted SCPHF RE (CL)
1222822683513-Restricted SCPHF RE (CL)
1242822748492-Restricted SCPHF RE (CL)
201329321053SCPHF Random Extension (CLS)
202507599155Add 1 factors
203596615257Add 2 factors
204683409043Add 3 factors
205727978825Add 4 factors
361752733811perfect hash family16,361,19,c
362752734080Power CT19^2+1
363968422194Add 1 factors
3641057555260Add 2 factors
3651144349046Add 3 factors
3661188918828Add 4 factors
3801233488341Add 19 factors
3811233488610Add 19 factors
3821453972248Add 19 factors
5151505467603perfect hash family32,515,19,c
5161505468160perfect hash family32,516,20
5171765836522Add 1 factors
5181923900372Add 2 factors
5611975926312perfect hash family6,561,201
5802022972336Power N-CT29^2T9
6092067411797Power N-CT29^2T8
6382111981579Power N-CT29^2T7
6752114457678Power N-CT29^2T4T2
7252114587980Power N-CT29^2T4
7292116803456Power N-CT29^2T2T2
7832116933758Power N-CT29^2T2
8412117064060Power N-CT29^2
8422384333298Add 1 factors
8602491737012Power N-CT43^2T23
9032536176473Power N-CT43^2T22
9112560025178Power N-CT41^2T12S11
9332562370956Power N-CT41^2T12S10
9562564716734Power N-CT41^2T12S9
9852567062512Power N-CT41^2Arc(8)T12
10072569408290Power N-CT41^2Arc(7)T12
10302571754068Power N-CT41^2Arc(6)T12
10542574099846Power N-CT41^2Arc(5)T12
10792576445624Power N-CT41^2Arc(4)T12
11052578791402Power N-CT41^2Arc(3)T12
11322581137180Power N-CT41^2Arc(2)T12
11602583482958Power N-CT41^2T12T1
11612585698434Power N-CT43^2T16
12472585828736Power N-CT43^2T14
12552604594960Power N-CT41^2Arc(12)
12852606940738Power N-CT41^2Arc(11)
13162609286516Power N-CT41^2Arc(10)
13482611632294Power N-CT41^2Arc(9)
13812613978072Power N-CT41^2Arc(8)
14152616323850Power N-CT41^2Arc(7)
14502618669628Power N-CT41^2Arc(6)
14862621015406Power N-CT41^2Arc(5)
15232623361184Power N-CT41^2Arc(4)
15612625706962Power N-CT41^2Arc(3)
15912627922438Power N-CT43^2T6
16002628052740Power N-CT41^2T1T1
17202630398518Power N-CT43^2T3
18502632744296Power N-CT43^2+1
18512634472764Power N-CT43^2+2
18522634569280Power N-CT43^2+3
18612887131168Power N-CT47^2Arc(8)
19012929224816Power N-CT47^2Arc(7)
19262961403254Power N-CT73^2Trin8,27,28
19642961410148Power N-CT73^2Trin8,27,27
19732963625570Power N-CT73^2Trin3,27,29
19742963742138Power N-CT73^2Trin3,28,28
19802963748636Power N-CT73^2T29T28
20042963748978Power N-CT73^2Trin1,3,44
20162963749032Power N-CT73^2Trin3,27,28
20302963755476Power N-CT73^2T44T3
20592963755926Power N-CT73^2Trin3,27,27
20602963872440Power N-CT73^2Arc(2)T44
20882963878938Power N-CT73^2T44T1
20972963879388Power N-CT73^2Trin1,27,27
21172963885436Power N-CT73^2T44
21763000897360Power N-CT73^2Trin14,14,29
22213001020822Power N-CT73^2Trin14,14,28
22663001027716Power N-CT73^2Trin14,14,27
23563003373440Power N-CT73^2Trin8,14,29
24073003496902Power N-CT73^2Trin8,14,28
24583003503796Power N-CT73^2Trin8,14,27
25063005719218Power N-CT73^2Trin3,14,29
25663005842680Power N-CT73^2Trin1,14,29
25963005849178Power N-CT73^2T29T14
26183005849574Power N-CT73^2Trin3,14,27
26283005966142Power N-CT73^2Arc(2)T36
26643005972640Power N-CT73^2T36T1
26823005973036Power N-CT73^2Trin1,14,27
27013005979138Power N-CT73^2T36
27143005979534Power N-CT73^2T27T14
27523008195298Power N-CT73^2Trin3,8,29
28243008318760Power N-CT73^2Trin1,8,29
28603008325258Power N-CT73^2T29T8
28763008325654Power N-CT73^2Trin3,8,27
28883008442222Power N-CT73^2Trin1,8,28
29253008448720Power N-CT73^2T28T8
29523008449116Power N-CT73^2Trin1,8,27
29903008455614Power N-CT73^2T27T8
30393010664538Power N-CT73^2Trin1,3,29
30803010671036Power N-CT73^2T29T3
30913010671432Power N-CT73^2Trin3,3,27
31253010788000Power N-CT73^2Arc(2)T29
31683010794498Power N-CT73^2T29T1
31773010794894Power N-CT73^2Trin1,3,27
32123010800996Power N-CT73^2T29
32203010801392Power N-CT73^2T27T3
32233010911858Power N-CT73^2Arc(3)T27
32403010917960Power N-CT73^2T28T1
32673010918356Power N-CT73^2Arc(2)T27
32853010924458Power N-CT73^2T28
33123010924854Power N-CT73^2T27T1
33583010931352Power N-CT73^2T27
34363048066684Power N-CT73^2Trin1,14,14
34813048073182Power N-CT73^2T14T14
36823050419302Power N-CT73^2Trin3,8,14
37843050542764Power N-CT73^2Trin1,8,14
38353050549262Power N-CT73^2T14T8
39623052765080Power N-CT73^2Trin3,3,14
40743052888542Power N-CT73^2Trin1,3,14
41303052895040Power N-CT73^2T14T3
41333053005506Power N-CT73^2Arc(3)T14
41903053012004Power N-CT73^2Arc(2)T14
42483053018502Power N-CT73^2T14T1
43073053025000Power N-CT73^2T14
43643055241160Power N-CT73^2Trin3,3,8
44883055364622Power N-CT73^2Trin1,3,8
45503055371120Power N-CT73^2T8T3
45533055481586Power N-CT73^2Arc(3)T8
46163055488084Power N-CT73^2Arc(2)T8
46803055494582Power N-CT73^2T8T1
47453055501080Power N-CT73^2T8
48333057710400Power N-CT73^2Trin1,3,3
49003057716898Power N-CT73^2T3T3
49033057827364Power N-CT73^2Arc(3)T3
49713057833862Power N-CT73^2Arc(2)T3
50403057840360Power N-CT73^2T3T1
51103057846858Power N-CT73^2T3
51133057957324Power N-CT73^2Arc(3)
51843057963822Power N-CT73^2T1T1
52563057970320Power N-CT73^2T1
53303057976818Power N-CT73^2+1
53323057982200Power N-CT73^2+3
54113454157286Power N-CT79^2Trin3,3,5
55573454157700Power N-CT79^2Trin3,3,3
56243493774836Power N-CT79^2T5T3
57763493775250Power N-CT79^2T3T3
58103533262426Power N-CT83^2T13
59763533385888Power N-CT83^2T11
61423533392386Power N-CT83^2T9
63083533392800Power N-CT83^2T7
64643558153600Power N-CT89^2Trin2,2,13
66123560629680Power N-CT89^2T13T2
67903562975386Power N-CT97^2T27
69843563098848Power N-CT97^2T25
71783563105346Power N-CT97^2T23
73723563105760Power N-CT97^2T21
73783582914400Power N-CT101^2Arc(4)T25
74513585390480Power N-CT101^2Arc(3)T25
75253587866560Power N-CT101^2Arc(2)T25
76003590342640Power N-CT101^2T25T1
76303592688346perfect hash family13,11881,109T39
78483592811808perfect hash family13,11881,109T37
80663592818306perfect hash family13,11881,109T35
82843592818720perfect hash family13,11881,109T33
87903602723310Power N-CT101^2Arc(13)T2
94123605199390Power N-CT97^2+3
94213617579790Power N-CT101^2Arc(8)
95153620055870Power N-CT101^2Arc(7)
96103622531950Power N-CT101^2Arc(6)
97063625008030Power N-CT101^2Arc(5)
98033627484110Power N-CT101^2Arc(4)
99013629960190Power N-CT101^2Arc(3)
100003632436270Power N-CT101^2T1T1
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