Table for CAN(6,k,19) 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,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)
371832313075,5-Restricted SCPHF RE (CL)
411857073875-Restricted SCPHF RE (CL)
451880531654-Restricted SCPHF RE (CL)
46188183521CPHF Random Extension (CLS)
592302771695,5-Restricted SCPHF RE (CL)
652327532495-Restricted SCPHF RE (CL)
702350990274-Restricted SCPHF RE (CL)
742352224893-Restricted SCPHF RE (CL)
76235229401CPHF Random Extension (CLS)
872748469515,5,5-Restricted SCPHF RE (CL)
1002773230315,5-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
8612505681359Power N-CT41^2T20
9032536176473Power N-CT43^2T22
9072550251160Power N-CT41^2Trin4,4,14
9732550381462Power N-CT41^2Trin4,4,12
9992552727240Power N-CT41^2T14T4
10732552857542Power N-CT41^2T12T4
11072555203320Power N-CT41^2T14
11892555333622Power N-CT41^2T12
12472585828736Power N-CT43^2T14
13692594951244Power N-CT41^2T4T4
15172597427324Power N-CT41^2T4
16812599903404Power N-CT41^2
17632630398518Power N-CT43^2T2
18512632744296Power N-CT43^2+2
18522634569280Power N-CT43^2+3
18612887131168Power N-CT47^2Arc(8)
19012929224816Power N-CT47^2Arc(7)
19262961214812Power N-CT73^2Trin8,27,28
19642961345168Power N-CT73^2Trin8,27,27
19742963430234Power N-CT73^2Trin3,28,28
20252963553696Power N-CT73^2T28T28
20302963683998Power N-CT73^2T44T3
20702963684052Power N-CT73^2T28T27
21172963807460Power N-CT73^2T44
22213000832380Power N-CT73^2Trin14,14,28
22663000962736Power N-CT73^2Trin14,14,27
24073003308460Power N-CT73^2Trin8,14,28
24193003431922Power N-CT73^2T32T14
24583003438816Power N-CT73^2Trin8,14,27
25623005654238Power N-CT73^2Trin3,14,28
26553005777700Power N-CT73^2T28T14
27013005901162Power N-CT73^2T36
27143005908056Power N-CT73^2T27T14
28143008130318Power N-CT73^2Trin3,8,28
29253008253780Power N-CT73^2T28T8
29933008377242Power N-CT73^2T32
30243010476096Power N-CT73^2Trin3,3,28
31503010599558Power N-CT73^2T28T3
32853010723020Power N-CT73^2T28
33583010853376Power N-CT73^2T27
34813048001704Power N-CT73^2T14T14
36823050354322Power N-CT73^2Trin3,8,14
38353050477784Power N-CT73^2T14T8
39623052700100Power N-CT73^2Trin3,3,14
41303052823562Power N-CT73^2T14T3
43073052947024Power N-CT73^2T14
43643055176180Power N-CT73^2Trin3,3,8
45503055299642Power N-CT73^2T8T3
47453055423104Power N-CT73^2T8
49003057645420Power N-CT73^2T3T3
51103057768882Power N-CT73^2T3
53303057892344Power N-CT73^2+1
53323057982200Power N-CT73^2+3
54113454150788Power N-CT79^2Trin3,3,5
55573454157700Power N-CT79^2Trin3,3,3
56243493768338Power N-CT79^2T5T3
57763493775250Power N-CT79^2T3T3
58103533262426Power N-CT83^2T13
61423533385888Power N-CT83^2T9
63083533392800Power N-CT83^2T7
64643558153600Power N-CT89^2Trin2,2,13
66123560629680Power N-CT89^2T13T2
67903562975386Power N-CT97^2T27
71783563098848Power 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
80663592811808perfect 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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