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

Last Updated Sat Jul 28 12:53:06 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)
301228724,4-Restricted SCPHF RE (CL)
311264564,3-restricted SCPHF RE (CL)
331269604-Restricted SCPHF RE (CL)
351300403,3-Restricted SCPHF RE (CL)
361309922-Restricted SCPHF RE (CL)
451556324,4-Restricted SCPHF RE (CL)
481597204-Restricted SCPHF RE (CL)
531633043-Restricted SCPHF RE (CL)
54163808SCPHF Random Extension (CLS)
601843044,4,4-Restricted SCPHF RE (CL)
671883924,4-Restricted SCPHF RE (CL)
741924804-Restricted SCPHF RE (CL)
821960643-Restricted SCPHF RE (CL)
83196568SCPHF Random Extension (CLS)
902170644,4,4-Restricted SCPHF RE (CL)
992211524,4-Restricted SCPHF RE (CL)
1092252404-Restricted SCPHF RE (CL)
1162288243-Restricted SCPHF RE (CL)
1222292722-Restricted SCPHF RE (CL)
123229328SCPHF Random Extension (CLS)
1342498244,4,4-Restricted SCPHF RE (CL)
1502539124,4-Restricted SCPHF RE (CL)
1632580004-Restricted SCPHF RE (CL)
1832615843-Restricted SCPHF RE (CL)
1842620322-Restricted SCPHF RE (CL)
185262088SCPHF Random Extension (CLS)
186262137CPHF Random Extension (CLS)
2102825844,4,4-Restricted SCPHF RE (CL)
2292866724,4-Restricted SCPHF RE (CL)
2522907604-Restricted SCPHF RE (CL)
2782943443-Restricted SCPHF RE (CL)
283294848SCPHF Random Extension (CLS)
3203153444,4,4-Restricted SCPHF RE (CL)
3433194324,4-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)
4733481044,4,4-Restricted SCPHF RE (CL)
5103521924,4-Restricted SCPHF RE (CL)
5693562804-Restricted SCPHF RE (CL)
5953598643-Restricted SCPHF RE (CL)
6043603122-Restricted SCPHF RE (CL)
622360368SCPHF Random Extension (CLS)
6753808644,4,4-Restricted SCPHF RE (CL)
7493849524,4-Restricted SCPHF RE (CL)
8123890404-Restricted SCPHF RE (CL)
813546288Add 1 factors
814631408Add 2 factors
8186487273-Restricted SCPHF RE (CL) fuse
819685616Add 8 factors
820688752Add 8 factors
821813480Add 9 factors
822931120Add 8 factors
826948439Add 8 factors
827985328Add 8 factors
828988464Add 8 factors
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
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
31271637727Power N-CT59^2T6
31861638231Power N-CT59^2T5
34821658727Power N-CT59^2+1
35511670431Power N-CT67^2T14
36181670935Power N-CT67^2T13
40201691431Power N-CT67^2T7
44891695519Power N-CT67^2
48911728223Power N-CT73^2T6
53301732311Power N-CT73^2+1
54761757399Power N-CT79^2T5T5
54941760423Power N-CT83^2T16T1
55121760479Power N-CT83^2Arc(9)T9
55611760927Power N-CT83^2T16
58461760983Power N-CT79^2T5
58521762999Power N-CT83^2Arc(4)T9
59231763503Power N-CT83^2Arc(3)T9
59951764007Power N-CT83^2Arc(2)T9
60301764063Power N-CT83^2Arc(9)T2
60681764511Power N-CT83^2T9T1
62441764567Power N-CT79^2+3
62531765071Power N-CT83^2Arc(8)
63291765575Power N-CT83^2Arc(7)
64061766079Power N-CT83^2Arc(6)
64841766583Power N-CT83^2Arc(5)
65631767087Power N-CT83^2Arc(4)
66431767591Power N-CT83^2Arc(3)
67241768095Power N-CT83^2T1T1
68061768599Power N-CT83^2T1
68891769103Power N-CT83^2
72981932567Power N-CT89^2T7
73871933071Power N-CT89^2T6
79221953567Power N-CT89^2+1
79541965271Power N-CT97^2T15
80511965775Power N-CT97^2T14
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