Table for CAN(6,k,18) 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,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).

Change t: - Change v: - + or go to Global Menu.
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
401857073855-Restricted SCPHF RE (CL) fuse
441880531634-Restricted SCPHF RE (CL) fuse
451881766253-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
722352224873-Restricted SCPHF RE (CL) fuse
742352289852-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
204663223697Add 3 factors
205712893698Add 5 factors
206712910222Add 5 factors
207731180612Add 6 factors
209750839977Power CT19^2T8
361752733809perfect hash family16,361,19,c fuse
362752734048Power CT19^2+1
363945717538Add 1 factors
3641021259758Add 2 factors
3651124458024Add 3 factors
3661170231746Add 5 factors
3671170231985Add 5 factors
3681188881500Add 6 factors
3801228536179Add 19 factors
3811228536418Add 19 factors
3821425247906Add 1 factors
3941472418155Martirosyan-TVT
3951472650373Martirosyan-TVT variant
3981472882591Martirosyan-TVT
3991472919257Martirosyan-TVT variant
4021472955923Martirosyan-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
6852093961157Martirosyan-TVT variant
6862095222487Martirosyan-TVT
6872095469033Martirosyan-TVT variant
7222095715903Martirosyan-TVT
7232104024948Martirosyan-TVT variant
7242112333754Martirosyan-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
9032529139113Power N-CT43^2T22
9112560025150Power N-CT41^2T12S11
9332562370928Power N-CT41^2T12S10
9562564716706Power N-CT41^2T12S9
9852567062484Power N-CT41^2Arc(8)T12
10072569408262Power N-CT41^2Arc(7)T12
10302571754040Power N-CT41^2Arc(6)T12
10542574099818Power N-CT41^2Arc(5)T12
10792576445596Power N-CT41^2Arc(4)T12
11052578791374Power N-CT41^2Arc(3)T12
11322581137152Power N-CT41^2Arc(2)T12
11602583482930Power N-CT41^2T12T1
11612585698406Power N-CT43^2T16
12472585828708Power N-CT43^2T14
12552604594932Power N-CT41^2Arc(12)
12852606940710Power N-CT41^2Arc(11)
13162609286488Power N-CT41^2Arc(10)
13482611632266Power N-CT41^2Arc(9)
13812613978044Power N-CT41^2Arc(8)
14152616323822Power N-CT41^2Arc(7)
14502618669600Power N-CT41^2Arc(6)
14862621015378Power N-CT41^2Arc(5)
15232623361156Power N-CT41^2Arc(4)
15612625706934Power N-CT41^2Arc(3)
15912627922410Power N-CT43^2T6
16002628052712Power N-CT41^2T1T1
17202630398490Power N-CT43^2T3
18502632744268Power N-CT43^2+1
18512634472736Power N-CT43^2+2
18522634569252Power N-CT43^2+3
18612887131140Power N-CT47^2Arc(8)
19012929224788Power N-CT47^2Arc(7)
19262961403228Power N-CT73^2Trin8,27,28
19642961410122Power N-CT73^2Trin8,27,27
19732963625544Power N-CT73^2Trin3,27,29
19742963742112Power N-CT73^2Trin3,28,28
19802963748610Power N-CT73^2T29T28
20042963748952Power N-CT73^2Trin1,3,44
20162963749006Power N-CT73^2Trin3,27,28
20302963755450Power N-CT73^2T44T3
20592963755900Power N-CT73^2Trin3,27,27
20602963872414Power N-CT73^2Arc(2)T44
20882963878912Power N-CT73^2T44T1
20972963879362Power N-CT73^2Trin1,27,27
21172963885410Power N-CT73^2T44
21763000897334Power N-CT73^2Trin14,14,29
22213001020796Power N-CT73^2Trin14,14,28
22663001027690Power N-CT73^2Trin14,14,27
23563003373414Power N-CT73^2Trin8,14,29
24073003496876Power N-CT73^2Trin8,14,28
24583003503770Power N-CT73^2Trin8,14,27
25063005719192Power N-CT73^2Trin3,14,29
25663005842654Power N-CT73^2Trin1,14,29
25963005849152Power N-CT73^2T29T14
26183005849548Power N-CT73^2Trin3,14,27
26283005966116Power N-CT73^2Arc(2)T36
26643005972614Power N-CT73^2T36T1
26823005973010Power N-CT73^2Trin1,14,27
27013005979112Power N-CT73^2T36
27143005979508Power N-CT73^2T27T14
27523008195272Power N-CT73^2Trin3,8,29
28243008318734Power N-CT73^2Trin1,8,29
28603008325232Power N-CT73^2T29T8
28763008325628Power N-CT73^2Trin3,8,27
28883008442196Power N-CT73^2Trin1,8,28
29253008448694Power N-CT73^2T28T8
29523008449090Power N-CT73^2Trin1,8,27
29903008455588Power N-CT73^2T27T8
30393010664512Power N-CT73^2Trin1,3,29
30803010671010Power N-CT73^2T29T3
30913010671406Power N-CT73^2Trin3,3,27
31253010787974Power N-CT73^2Arc(2)T29
31683010794472Power N-CT73^2T29T1
31773010794868Power N-CT73^2Trin1,3,27
32123010800970Power N-CT73^2T29
32203010801366Power N-CT73^2T27T3
32233010911832Power N-CT73^2Arc(3)T27
32403010917934Power N-CT73^2T28T1
32673010918330Power N-CT73^2Arc(2)T27
32853010924432Power N-CT73^2T28
33123010924828Power N-CT73^2T27T1
33583010931326Power N-CT73^2T27
34363048066658Power N-CT73^2Trin1,14,14
34813048073156Power N-CT73^2T14T14
36823050419276Power N-CT73^2Trin3,8,14
37843050542738Power N-CT73^2Trin1,8,14
38353050549236Power N-CT73^2T14T8
39623052765054Power N-CT73^2Trin3,3,14
40743052888516Power N-CT73^2Trin1,3,14
41303052895014Power N-CT73^2T14T3
41333053005480Power N-CT73^2Arc(3)T14
41903053011978Power N-CT73^2Arc(2)T14
42483053018476Power N-CT73^2T14T1
43073053024974Power N-CT73^2T14
43643055241134Power N-CT73^2Trin3,3,8
44883055364596Power N-CT73^2Trin1,3,8
45503055371094Power N-CT73^2T8T3
45533055481560Power N-CT73^2Arc(3)T8
46163055488058Power N-CT73^2Arc(2)T8
46803055494556Power N-CT73^2T8T1
47453055501054Power N-CT73^2T8
48333057710374Power N-CT73^2Trin1,3,3
49003057716872Power N-CT73^2T3T3
49033057827338Power N-CT73^2Arc(3)T3
49713057833836Power N-CT73^2Arc(2)T3
50403057840334Power N-CT73^2T3T1
51103057846832Power N-CT73^2T3
51133057957298Power N-CT73^2Arc(3)
51843057963796Power N-CT73^2T1T1
52563057970294Power N-CT73^2T1
53303057976792Power N-CT73^2+1
53323057982174Power N-CT73^2+3
54113454157260Power N-CT79^2Trin3,3,5
55573454157674Power N-CT79^2Trin3,3,3
56243493774810Power N-CT79^2T5T3
57763493775224Power N-CT79^2T3T3
58103533262400Power N-CT83^2T13
59763533385862Power N-CT83^2T11
61423533392360Power N-CT83^2T9
63083533392774Power N-CT83^2T7
64643558153574Power N-CT89^2Trin2,2,13
66123560629654Power N-CT89^2T13T2
67903562975360Power N-CT97^2T27
69843563098822Power N-CT97^2T25
71783563105320Power 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
78483592811782perfect hash family13,11881,109T37
80663592818280perfect 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: