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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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
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
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