Table for CAN(6,k,19) 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,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
25138661525Quint-Restricted SCPHF RE (C)
27141007303Quad-Restricted SCPHF RE (C)
29141137605SCPHF Random Extension (CLS)
37183231307Quint-Restricted SCPHF RE (C)
40185707387Quint-Restricted SCPHF RE (C)
45188183467SCPHF Random Extension (CLS)
46188183521CPHF Random Extension (CLS)
59230277169Quint-Restricted SCPHF RE (C)
65232753249Quint-Restricted SCPHF RE (C)
72235229329SCPHF Random Extension (CLS)
76235229401CPHF Random Extension (CLS)
120282275191SCPHF Random Extension (CLS)
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
8422384450262Add 1 factors
8602493430938Power N-CT43^2T23
9032537870399Power N-CT43^2T22
9112560285782Power N-CT41^2T12S11
9332562761862Power N-CT41^2T12S10
9562565237942Power N-CT41^2T12S9
9852567714022Power N-CT41^2Arc(8)T12
10072570190102Power N-CT41^2Arc(7)T12
10302572666182Power N-CT41^2Arc(6)T12
10542575142262Power N-CT41^2Arc(5)T12
10792577618342Power N-CT41^2Arc(4)T12
11052580094422Power N-CT41^2Arc(3)T12
11322582570502Power N-CT41^2Arc(2)T12
11602585046582Power N-CT41^2T12T1
11612587392360Power N-CT43^2T16
12472587522662Power N-CT43^2T14
12552604855564Power N-CT41^2Arc(12)
12852607331644Power N-CT41^2Arc(11)
13162609807724Power N-CT41^2Arc(10)
13482612283804Power N-CT41^2Arc(9)
13812614759884Power N-CT41^2Arc(8)
14152617235964Power N-CT41^2Arc(7)
14502619712044Power N-CT41^2Arc(6)
14862622188124Power N-CT41^2Arc(5)
15232624664204Power N-CT41^2Arc(4)
15612627140284Power N-CT41^2Arc(3)
16002629616364Power N-CT41^2T1T1
17202632092444Power N-CT43^2T3
18512634568524Power N-CT43^2+2
18522634569280Power N-CT43^2+3
18612887131168Power N-CT47^2Arc(8)
19012929224816Power N-CT47^2Arc(7)
19262961414234Power N-CT73^2Trin8,27,28
19642961414288Power N-CT73^2Trin8,27,27
19712963760102Power N-CT73^2T46
19822963890044Power N-CT73^2Arc(5)T44
20072963890116Power N-CT73^2Arc(4)T44
20332963890188Power N-CT73^2Arc(3)T44
20602963890260Power N-CT73^2Arc(2)T44
20882963890332Power N-CT73^2T44T1
20972963890368Power N-CT73^2Trin1,27,27
21172963890404Power N-CT73^2T44
22213001031802Power N-CT73^2Trin14,14,28
22663001031856Power N-CT73^2Trin14,14,27
24073003507882Power N-CT73^2Trin8,14,28
24583003507936Power N-CT73^2Trin8,14,27
24633005983602Power N-CT73^2Arc(7)T36
24943005983674Power N-CT73^2Arc(6)T36
25263005983746Power N-CT73^2Arc(5)T36
25593005983818Power N-CT73^2Arc(4)T36
25933005983890Power N-CT73^2Arc(3)T36
26293005983962Power N-CT73^2Trin8,8,28
26863005984016Power N-CT73^2Trin8,8,27
27143005984088Power N-CT73^2T27T14
27303008459826Power N-CT73^2Arc(5)T33
27663008459898Power N-CT73^2Arc(4)T33
28033008459970Power N-CT73^2Arc(3)T33
28883008460042Power N-CT73^2Trin1,8,28
29523008460096Power N-CT73^2Trin1,8,27
29903008460168Power N-CT73^2T27T8
30183010935744Power N-CT73^2Arc(8)T27
30573010935816Power N-CT73^2Arc(7)T27
30973010935888Power N-CT73^2Arc(6)T27
31383010935960Power N-CT73^2Arc(5)T27
31803010936032Power N-CT73^2Arc(4)T27
32233010936104Power N-CT73^2Arc(3)T27
32673010936176Power N-CT73^2Arc(2)T27
33123010936248Power N-CT73^2T27T1
33583010936320Power N-CT73^2T27
34363048077664Power N-CT73^2Trin1,14,14
34813048077736Power N-CT73^2T14T14
37843050553744Power N-CT73^2Trin1,8,14
38353050553816Power N-CT73^2T14T8
38633053029392Power N-CT73^2Arc(8)T14
39153053029464Power N-CT73^2Arc(7)T14
39683053029536Power N-CT73^2Arc(6)T14
40223053029608Power N-CT73^2Arc(5)T14
40773053029680Power N-CT73^2Arc(4)T14
41333053029752Power N-CT73^2Arc(3)T14
41903053029824Power N-CT73^2Arc(2)T14
42483053029896Power N-CT73^2T14T1
43073053029968Power N-CT73^2T14
43113055505544Power N-CT73^2Arc(7)T8
43703055505616Power N-CT73^2Arc(6)T8
44303055505688Power N-CT73^2Arc(5)T8
44913055505760Power N-CT73^2Arc(4)T8
45533055505832Power N-CT73^2Arc(3)T8
46163055505904Power N-CT73^2Arc(2)T8
46803055505976Power N-CT73^2T8T1
47453055506048Power N-CT73^2T8
47733057981624Power N-CT73^2Arc(8)
48393057981696Power N-CT73^2Arc(7)
49063057981768Power N-CT73^2Arc(6)
49743057981840Power N-CT73^2Arc(5)
50433057981912Power N-CT73^2Arc(4)
51133057981984Power N-CT73^2Arc(3)
51843057982056Power N-CT73^2T1T1
52563057982128Power N-CT73^2T1
53323057982200Power N-CT73^2+3
53333526897374Add 1 factors
55573528440100Power N-CT79^2Trin3,3,3
57763575485890Power N-CT79^2T3T3
66673617579448perfect hash family13,12769,113T54
73453620055528perfect hash family13,12769,113T48
81363622531608perfect hash family13,12769,113T41
85883622531680perfect hash family13,12769,113T37
100003669577470Power N-CT101^2
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