Table for CAN(6,k,18) for k up to 10000

Last Updated Thu Jun 7 05:19:24 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,18) 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
734012224composition
838120409Augment OA
940346898Augment OA
1042690464Augment OA
1145151808Augment OA
2047045879orthogonal array fuse
2184448008extended OA (Colbourn) special fuse
22124325622Add 1 factors
251386615235-Restricted SCPHF RE (CL) fuse
271410073014-Restricted SCPHF RE (CL) fuse
29141137603SCPHF Random Extension (CLS) fuse
371832313055-Restricted SCPHF RE (CL) fuse
411857073855-Restricted SCPHF RE (CL) fuse
451880531634-Restricted SCPHF RE (CL) fuse
46188183519CPHF Random Extension (CLS) fuse
592302771675-Restricted SCPHF RE (CL) fuse
652327532475-Restricted SCPHF RE (CL) fuse
702350990254-Restricted SCPHF RE (CL) fuse
742352224873-Restricted SCPHF RE (CL) fuse
76235229399CPHF Random Extension (CLS) fuse
872748469495-Restricted SCPHF RE (CL) fuse
1002773230295-Restricted SCPHF RE (CL) fuse
1102797991095-Restricted SCPHF RE (CL) fuse
1182821448874-Restricted SCPHF RE (CL) fuse
1222822683493-Restricted SCPHF RE (CL) fuse
1242822748472-Restricted SCPHF RE (CL) fuse
201329321051SCPHF Random Extension (CLS) fuse
202488832425Add 1 factors
203564275501Add 2 factors
204662634989Add 3 factors
205712241978Add 5 factors
206712258502Add 5 factors
207730442186Add 6 factors
209750839977Power CT19^2T8
361752733809perfect hash family16,361,19,c fuse
362752734048Power CT19^2+1
363945717538Add 1 factors
3641021259758Add 2 factors
3651124359906Add 3 factors
3661170123126Add 5 factors
3671170123365Add 5 factors
3681188758429Add 6 factors
3801228412717Add 19 factors
3811228412956Add 19 factors
3821425124138Add 1 factors
3941466167559Martirosyan-TVT
3951466397725Martirosyan-TVT variant
3981466627891Martirosyan-TVT
3991466664233Martirosyan-TVT variant
4011466700575Martirosyan-TVT variant
4021467743133Martirosyan-TVT
5151505467601perfect hash family32,515,19,c fuse
5161505468096perfect hash family32,516,20
5171738428650Add 1 factors
5181867117562Add 2 factors
5611975926300perfect hash family6,561,201
5802022972306Power N-CT29^2T9
6092060374435Power N-CT29^2T8
6472086054425Martirosyan-TVT variant
6862087315755Martirosyan-TVT
6902089530889Martirosyan-TVT
6912089777435Martirosyan-TVT variant
7222090024305Martirosyan-TVT
7232098320486Martirosyan-TVT variant
7242106616428Martirosyan-TVT
7252114587950Power N-CT29^2T4
7292116803426Power N-CT29^2T2T2
7832116933728Power N-CT29^2T2
8412117064030Power N-CT29^2
8422356199052Add 1 factors
8432484887964Add 2 factors
8602491736984Power N-CT43^2T23
8612498643999Power N-CT41^2T20
9032529139113Power N-CT43^2T22
9072550251132Power N-CT41^2Trin4,4,14
9732550381434Power N-CT41^2Trin4,4,12
9992552727212Power N-CT41^2T14T4
10732552857514Power N-CT41^2T12T4
11072555203292Power N-CT41^2T14
11892555333594Power N-CT41^2T12
12472585828708Power N-CT43^2T14
13692594951216Power N-CT41^2T4T4
15172597427296Power N-CT41^2T4
16812599903376Power N-CT41^2
17632630398490Power N-CT43^2T2
18512632744268Power N-CT43^2+2
18522634569252Power N-CT43^2+3
18612887131140Power N-CT47^2Arc(8)
19012929224788Power N-CT47^2Arc(7)
19262961214786Power N-CT73^2Trin8,27,28
19642961345142Power N-CT73^2Trin8,27,27
19742963430208Power N-CT73^2Trin3,28,28
20252963553670Power N-CT73^2T28T28
20302963683972Power N-CT73^2T44T3
20702963684026Power N-CT73^2T28T27
21172963807434Power N-CT73^2T44
22213000832354Power N-CT73^2Trin14,14,28
22663000962710Power N-CT73^2Trin14,14,27
24073003308434Power N-CT73^2Trin8,14,28
24193003431896Power N-CT73^2T32T14
24583003438790Power N-CT73^2Trin8,14,27
25623005654212Power N-CT73^2Trin3,14,28
26553005777674Power N-CT73^2T28T14
27013005901136Power N-CT73^2T36
27143005908030Power N-CT73^2T27T14
28143008130292Power N-CT73^2Trin3,8,28
29253008253754Power N-CT73^2T28T8
29933008377216Power N-CT73^2T32
30243010476070Power N-CT73^2Trin3,3,28
31503010599532Power N-CT73^2T28T3
32853010722994Power N-CT73^2T28
33583010853350Power N-CT73^2T27
34813048001678Power N-CT73^2T14T14
36823050354296Power N-CT73^2Trin3,8,14
38353050477758Power N-CT73^2T14T8
39623052700074Power N-CT73^2Trin3,3,14
41303052823536Power N-CT73^2T14T3
43073052946998Power N-CT73^2T14
43643055176154Power N-CT73^2Trin3,3,8
45503055299616Power N-CT73^2T8T3
47453055423078Power N-CT73^2T8
49003057645394Power N-CT73^2T3T3
51103057768856Power N-CT73^2T3
53303057892318Power N-CT73^2+1
53323057982174Power N-CT73^2+3
54113454150762Power N-CT79^2Trin3,3,5
55573454157674Power N-CT79^2Trin3,3,3
56243493768312Power N-CT79^2T5T3
57763493775224Power N-CT79^2T3T3
58103533262400Power N-CT83^2T13
61423533385862Power N-CT83^2T9
63083533392774Power N-CT83^2T7
64643558153574Power N-CT89^2Trin2,2,13
66123560629654Power N-CT89^2T13T2
67903562975360Power N-CT97^2T27
71783563098822Power N-CT97^2T23
73723563105734Power N-CT97^2T21
73783582914374Power N-CT101^2Arc(4)T25
74513585390454Power N-CT101^2Arc(3)T25
75253587866534Power N-CT101^2Arc(2)T25
76003590342614Power N-CT101^2T25T1
76303592688320perfect hash family13,11881,109T39
80663592811782perfect hash family13,11881,109T35
82843592818694perfect hash family13,11881,109T33
87903602723284Power N-CT101^2Arc(13)T2
94123605199364Power N-CT97^2+3
94213617579764Power N-CT101^2Arc(8)
95153620055844Power N-CT101^2Arc(7)
96103622531924Power N-CT101^2Arc(6)
97063625008004Power N-CT101^2Arc(5)
98033627484084Power N-CT101^2Arc(4)
99013629960164Power N-CT101^2Arc(3)
100003632436244Power N-CT101^2T1T1
 Graph: