Table for CAN(5,k,8) for k up to 10000

Last Updated Wed Jun 6 17:38:18 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;5,k,8) 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
932768orthogonal array
1053681orthogonal array fuse postop NCK
13614404-Restricted SCPHF RE (CL)
15650243-Restricted SCPHF RE (CL)
22942004-Restricted SCPHF RE (CL)
23977843-Restricted SCPHF RE (CL)
301228724-Restricted SCPHF RE (CL)
321269604-Restricted SCPHF RE (CL)
351305443-Restricted SCPHF RE (CL)
361309922-Restricted SCPHF RE (CL)
451556324-Restricted SCPHF RE (CL)
481597204-Restricted SCPHF RE (CL)
531633043-Restricted SCPHF RE (CL)
54163808SCPHF Random Extension (CLS)
581843044-Restricted SCPHF RE (CL)
651883924-Restricted SCPHF RE (CL)
741924804-Restricted SCPHF RE (CL)
821960643-Restricted SCPHF RE (CL)
902170644-Restricted SCPHF RE (CL)
992211524-Restricted SCPHF RE (CL)
1092252404-Restricted SCPHF RE (CL)
1162288243-Restricted SCPHF RE (CL)
1222292722-Restricted SCPHF RE (CL)
123229328SCPHF Random Extension (CLS)
1342498244-Restricted SCPHF RE (CL)
1502539124-Restricted SCPHF RE (CL)
1632580004-Restricted SCPHF RE (CL)
1832615843-Restricted SCPHF RE (CL)
185262088SCPHF Random Extension (CLS)
186262137CPHF Random Extension (CLS)
2102825844-Restricted SCPHF RE (CL)
2292866724-Restricted SCPHF RE (CL)
2522907604-Restricted SCPHF RE (CL)
2782943443-Restricted SCPHF RE (CL)
283294848SCPHF Random Extension (CLS)
3203153444-Restricted SCPHF RE (CL)
3433194324-Restricted SCPHF RE (CL)
3713235204-Restricted SCPHF RE (CL)
4173271043-Restricted SCPHF RE (CL)
4273275522-Restricted SCPHF RE (CL)
429327608SCPHF Random Extension (CLS)
430327671CPHF Random Extension (CLS)
4733481044-Restricted SCPHF RE (CL)
5103521924-Restricted SCPHF RE (CL)
5693562804-Restricted SCPHF RE (CL)
5953598643-Restricted SCPHF RE (CL)
6043603122-Restricted SCPHF RE (CL)
622360368SCPHF Random Extension (CLS)
6753808644-Restricted SCPHF RE (CL)
7493849524-Restricted SCPHF RE (CL)
750528088Add 1 factors
751612312Add 2 factors
752640984Add 3 factors
7556428954-Restricted SCPHF RE (CL) fuse
757669656Add 8 factors
758789952Add 9 factors
759897016Add 8 factors
760925688Add 8 factors
763927599Add 8 factors
765954360Add 8 factors
7931064749perfect hash family3,852,569T59
8521068837perfect hash family3,852,569
8541073767Martirosyan-Colbourn
8581073823Martirosyan-Colbourn
8601073886Martirosyan-Colbourn
8651076005perfect hash family3,891,595T26
8691076901perfect hash family3,903,603T34
8781077013perfect hash family3,930,621T52
8911079589perfect hash family3,891,595
8951080485perfect hash family3,903,603T8
9041080597perfect hash family3,930,621T26
9131081045perfect hash family3,930,621T17
9311081101perfect hash family3,931,622
9461097847Martirosyan-Colbourn
10201101935Martirosyan-Colbourn
11301106023Martirosyan-Colbourn
11381109159Martirosyan-Colbourn
11901112743Martirosyan-Colbourn
12081113191Martirosyan-Colbourn
12221113247Martirosyan-Colbourn
12441113639Martirosyan-Colbourn
13141134135Martirosyan-Colbourn
13501152167Martirosyan-Colbourn
14641156255Martirosyan-Colbourn
14981159783Martirosyan-Colbourn
15001302919Martirosyan-Colbourn
15051375591Power N-CT43^2T8
15481376039Power N-CT43^2T7
15521400567Power N-CT47^2Trin2,2,11
18511400679Power N-CT43^2+2
19391425207Power N-CT47^2Trin2,2,2
20251429295Power N-CT47^2T2T2
21151433383Power N-CT47^2T2
22101437471Power N-CT47^2+1
23851462055Power N-CT53^2T8
25441466143Power N-CT53^2T5
28091469727Power N-CT53^2
28101474263Power N-CT53^2+1
28451498868perfect hash family4,3125,625T56
29751502452perfect hash family4,3125,625T30
30201502900perfect hash family4,3125,625T21
31101502956perfect hash family4,3125,625T3
31251523452perfect hash family4,3125,625
31321666847Power N-CT59^2T5T1
32331670431Power N-CT61^2T8
32941670935Power N-CT61^2T7
33071683255Power N-CT59^2Arc(3)
33641687343Power N-CT59^2T1T1
35381691431Power N-CT61^2T3
37251695519perfect hash family9,3725,65
38691703135Power N-CT73^2T20
39421703639Power N-CT73^2T19
39581710807Power N-CT83^2Arc(9)T30
40321711311Power N-CT83^2Arc(9)T29
40991720047Power N-CT67^2Trin2,2,2
42341724135Power N-CT73^2T15
47451728223Power N-CT73^2T8
53301732311Power N-CT73^2+1
55121739983Power N-CT83^2Arc(9)T9
60301743567Power N-CT83^2Arc(9)T2
62441764567Power N-CT79^2+3
62531785567Power N-CT83^2Arc(8)
63291806567Power N-CT83^2Arc(7)
64061827567Power N-CT83^2Arc(6)
64841848567Power N-CT83^2Arc(5)
65631869567Power N-CT83^2Arc(4)
66431890567Power N-CT83^2Arc(3)
67241911567Power N-CT83^2T1T1
72981932567Power N-CT89^2T7
79221953567Power N-CT89^2+1
79541965271Power N-CT97^2T15
81001982183Power N-CT97^2T7T7
87301986271Power N-CT97^2T7
94111990359Power N-CT97^2+2
96072014887Power N-CT101^2Trin2,2,2
98102018975perfect hash family9,11881,109T19
100002023063perfect hash family9,10609,103T4
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