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

Last Updated Sun Nov 19 11:04:53 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;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)
14650243-Restricted SCPHF RE (CL)
1565528SCPHF Random Extension (CLS)
20942004-Restricted SCPHF RE (CL)
22977843-Restricted SCPHF RE (CL)
2398288SCPHF Random Extension (CLS)
281228724-Restricted SCPHF RE (CL)
311269604-Restricted SCPHF RE (CL)
331305443-Restricted SCPHF RE (CL)
35131048SCPHF Random Extension (CLS)
431556324-Restricted SCPHF RE (CL)
471597204-Restricted SCPHF RE (CL)
501633043-Restricted SCPHF RE (CL)
511637522-Restricted SCPHF RE (CL)
52163808SCPHF Random Extension (CLS)
581843044-Restricted SCPHF RE (CL)
641883924-Restricted SCPHF RE (CL)
701924804-Restricted SCPHF RE (CL)
751960643-Restricted SCPHF RE (CL)
781965122-Restricted SCPHF RE (CL)
81196568SCPHF Random Extension (CLS)
852170644-Restricted SCPHF RE (CL)
992211524-Restricted SCPHF RE (CL)
1082252404-Restricted SCPHF RE (CL)
1112288243-Restricted SCPHF RE (CL)
1222292722-Restricted SCPHF RE (CL)
123229370CPHF Random Extension (CLS)
1312498244-Restricted SCPHF RE (CL)
1452539124-Restricted SCPHF RE (CL)
1612580004-Restricted SCPHF RE (CL)
1712615843-Restricted SCPHF RE (CL)
1782620322-Restricted SCPHF RE (CL)
183262088SCPHF Random Extension (CLS)
185262137CPHF Random Extension (CLS)
2032825844-Restricted SCPHF RE (CL)
2272866724-Restricted SCPHF RE (CL)
2512907604-Restricted SCPHF RE (CL)
2742943443-Restricted SCPHF RE (CL)
2772947922-Restricted SCPHF RE (CL)
283294848SCPHF Random Extension (CLS)
426327608SCPHF Random Extension (CLS)
622360368SCPHF Random Extension (CLS)
623499920Add 1 factors
624578768Add 2 factors
625607440Add 3 factors
630636112Add 8 factors
673649447SCPHF Random Extension (CLS) fuse
674791015Add 1 factors
675869863Add 2 factors
676898535Add 3 factors
681927207Add 8 factors
6821044655Add 9 factors
7351048341perfect hash family3,930,621T195
9311081101perfect hash family3,931,622
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14191375591Power N-CT43^2T10
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22361453263Power N-CT53^2Arc(9)T3
22801453711Power N-CT53^2Arc(9)T2
23231474207Power N-CT53^2Arc(8)T2
23681474263Power N-CT53^2Arc(9)
24131494759Power N-CT53^2Arc(8)
24591515255Power N-CT53^2Arc(7)
25061535751Power N-CT53^2Arc(6)
25541556247Power N-CT53^2Arc(5)
26031576743Power N-CT53^2Arc(4)
26531597239Power N-CT53^2Arc(3)
27041617735Power N-CT53^2T1T1
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28181650495Power N-CT59^2Arc(5)T7
28661654583Power N-CT59^2Arc(4)T7
28861654639Power N-CT59^2Arc(9)T2
29151658671Power N-CT59^2Arc(3)T7
29861658727Power N-CT59^2Arc(9)
30371662815Power N-CT59^2Arc(8)
30891666903Power N-CT59^2Arc(7)
31111670879Power N-CT61^2T10
31721670935Power N-CT61^2T9
31961675079Power N-CT59^2Arc(5)
32511679167Power N-CT59^2Arc(4)
33071683255Power N-CT59^2Arc(3)
33641687343Power N-CT59^2T1T1
35381691431Power N-CT61^2T3
37241695519Power N-CT61^2+3
39131720047Power N-CT67^2Trin3,3,3
40961724135Power N-CT67^2T3T3
42881728223Power N-CT67^2T3
43141728727Power N-CT71^2Arc(9)T2
44921732311Power N-CT67^2+3
45011735895Power N-CT71^2Arc(8)
45651739479Power N-CT71^2Arc(7)
46301743063Power N-CT71^2Arc(6)
46961746647Power N-CT71^2Arc(5)
47631750231Power N-CT71^2Arc(4)
48311753815Power N-CT71^2Arc(3)
49001757399Power N-CT71^2T1T1
49291760815Power N-CT79^2Arc(2)T15
49921760871Power N-CT79^2T15T1
50561760927Power N-CT79^2T15
51101760983Power N-CT73^2T3
51841764455Power N-CT79^2Trin1,4,9
52501764511Power N-CT79^2T9T4
53311764567Power N-CT73^2+2
53911764903Power N-CT79^2Arc(2)T9
54601764959Power N-CT79^2T9T1
55301765015Power N-CT79^2T9
55541768039Power N-CT79^2Trin1,4,4
56251768095Power N-CT79^2T4T4
56311768375Power N-CT79^2Arc(4)T4
57031768431Power N-CT79^2Arc(3)T4
57761768487Power N-CT79^2Arc(2)T4
58501768543Power N-CT79^2T4T1
59251768599Power N-CT79^2T4
59311768879Power N-CT79^2Arc(4)
60071768935Power N-CT79^2Arc(3)
60841768991Power N-CT79^2T1T1
61621769047Power N-CT79^2T1
62431769103Power N-CT79^2+2
64031892079Power N-CT83^2Trin2,2,2
65611912575Power N-CT83^2T2T2
67231933071Power N-CT83^2T2
68911953567Power N-CT83^2+2
72751965271Power N-CT97^2T22
75661965719Power N-CT97^2T19
78571965775Power N-CT97^2T16
82451986271Power N-CT97^2T12
94111990359Power N-CT97^2+2
96072014887Power N-CT101^2Trin2,2,2
98012018975Power N-CT101^2T2T2
100002023063perfect hash family9,10609,103T4