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

Last Updated Sat Sep 16 02:03:55 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
25138661523Quint-Restricted SCPHF RE (C) fuse
27141007301Quad-Restricted SCPHF RE (C) fuse
29141137603SCPHF Random Extension (CLS) fuse
37183231305Quint-Restricted SCPHF RE (C) fuse
40185707385Quint-Restricted SCPHF RE (C) fuse
45188183465SCPHF Random Extension (CLS) fuse
46188183519CPHF Random Extension (CLS) fuse
59230277167Quint-Restricted SCPHF RE (C) fuse
65232753247Quint-Restricted SCPHF RE (C) fuse
72235229327SCPHF Random Extension (CLS) fuse
76235229399CPHF Random Extension (CLS) fuse
120282275189SCPHF Random Extension (CLS) fuse
201329321051SCPHF Random Extension (CLS) fuse
202488832425Add 1 factors
203564275501Add 2 factors
204663223697Add 3 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
3861472418155Martirosyan-TVT
3871472650373Martirosyan-TVT variant
3941472882591Martirosyan-TVT
3951472919257Martirosyan-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
8422356303704Add 1 factors
8432484992616Add 2 factors
8602493430910Power N-CT43^2T23
9032530833039Power N-CT43^2T22
9112560285754Power N-CT41^2T12S11
9332562761834Power N-CT41^2T12S10
9562565237914Power N-CT41^2T12S9
9852567713994Power N-CT41^2Arc(8)T12
10072570190074Power N-CT41^2Arc(7)T12
10302572666154Power N-CT41^2Arc(6)T12
10542575142234Power N-CT41^2Arc(5)T12
10792577618314Power N-CT41^2Arc(4)T12
11052580094394Power N-CT41^2Arc(3)T12
11322582570474Power N-CT41^2Arc(2)T12
11602585046554Power N-CT41^2T12T1
11612587392332Power N-CT43^2T16
12472587522634Power N-CT43^2T14
12552604855536Power N-CT41^2Arc(12)
12852607331616Power N-CT41^2Arc(11)
13162609807696Power N-CT41^2Arc(10)
13482612283776Power N-CT41^2Arc(9)
13812614759856Power N-CT41^2Arc(8)
14152617235936Power N-CT41^2Arc(7)
14502619712016Power N-CT41^2Arc(6)
14862622188096Power N-CT41^2Arc(5)
15232624664176Power N-CT41^2Arc(4)
15612627140256Power N-CT41^2Arc(3)
16002629616336Power N-CT41^2T1T1
17202632092416Power N-CT43^2T3
18512634568496Power N-CT43^2+2
18522634569252Power N-CT43^2+3
18612887131140Power N-CT47^2Arc(8)
19012929224788Power N-CT47^2Arc(7)
19262961414208Power N-CT73^2Trin8,27,28
19642961414262Power N-CT73^2Trin8,27,27
19712963760076Power N-CT73^2T46
19822963890018Power N-CT73^2Arc(5)T44
20072963890090Power N-CT73^2Arc(4)T44
20332963890162Power N-CT73^2Arc(3)T44
20602963890234Power N-CT73^2Arc(2)T44
20882963890306Power N-CT73^2T44T1
20972963890342Power N-CT73^2Trin1,27,27
21172963890378Power N-CT73^2T44
22213001031776Power N-CT73^2Trin14,14,28
22663001031830Power N-CT73^2Trin14,14,27
24073003507856Power N-CT73^2Trin8,14,28
24583003507910Power N-CT73^2Trin8,14,27
24633005983576Power N-CT73^2Arc(7)T36
24943005983648Power N-CT73^2Arc(6)T36
25263005983720Power N-CT73^2Arc(5)T36
25593005983792Power N-CT73^2Arc(4)T36
25933005983864Power N-CT73^2Arc(3)T36
26293005983936Power N-CT73^2Trin8,8,28
26863005983990Power N-CT73^2Trin8,8,27
27143005984062Power N-CT73^2T27T14
27303008459800Power N-CT73^2Arc(5)T33
27663008459872Power N-CT73^2Arc(4)T33
28033008459944Power N-CT73^2Arc(3)T33
28883008460016Power N-CT73^2Trin1,8,28
29523008460070Power N-CT73^2Trin1,8,27
29903008460142Power N-CT73^2T27T8
30183010935718Power N-CT73^2Arc(8)T27
30573010935790Power N-CT73^2Arc(7)T27
30973010935862Power N-CT73^2Arc(6)T27
31383010935934Power N-CT73^2Arc(5)T27
31803010936006Power N-CT73^2Arc(4)T27
32233010936078Power N-CT73^2Arc(3)T27
32673010936150Power N-CT73^2Arc(2)T27
33123010936222Power N-CT73^2T27T1
33583010936294Power N-CT73^2T27
34363048077638Power N-CT73^2Trin1,14,14
34813048077710Power N-CT73^2T14T14
37843050553718Power N-CT73^2Trin1,8,14
38353050553790Power N-CT73^2T14T8
38633053029366Power N-CT73^2Arc(8)T14
39153053029438Power N-CT73^2Arc(7)T14
39683053029510Power N-CT73^2Arc(6)T14
40223053029582Power N-CT73^2Arc(5)T14
40773053029654Power N-CT73^2Arc(4)T14
41333053029726Power N-CT73^2Arc(3)T14
41903053029798Power N-CT73^2Arc(2)T14
42483053029870Power N-CT73^2T14T1
43073053029942Power N-CT73^2T14
43113055505518Power N-CT73^2Arc(7)T8
43703055505590Power N-CT73^2Arc(6)T8
44303055505662Power N-CT73^2Arc(5)T8
44913055505734Power N-CT73^2Arc(4)T8
45533055505806Power N-CT73^2Arc(3)T8
46163055505878Power N-CT73^2Arc(2)T8
46803055505950Power N-CT73^2T8T1
47453055506022Power N-CT73^2T8
47733057981598Power N-CT73^2Arc(8)
48393057981670Power N-CT73^2Arc(7)
49063057981742Power N-CT73^2Arc(6)
49743057981814Power N-CT73^2Arc(5)
50433057981886Power N-CT73^2Arc(4)
51133057981958Power N-CT73^2Arc(3)
51843057982030Power N-CT73^2T1T1
52563057982102Power N-CT73^2T1
53323057982174Power N-CT73^2+3
53333477537244Add 1 factors
55573528440074Power N-CT79^2Trin3,3,3
57763575485864Power N-CT79^2T3T3
66673617579422perfect hash family13,12769,113T54
73453620055502perfect hash family13,12769,113T48
81363622531582perfect hash family13,12769,113T41
85883622531654perfect hash family13,12769,113T37
100003669577444Power N-CT101^2
 Graph: