Table for CAN(5,k,15) 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,15) 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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6759375Derive from strength 6
171048574orthogonal array fuse
181419853orthogonal array fuse fuse
1920968942-Restricted SCPHF RE (CL) fuse
202097134SCPHF Random Extension (CLS) fuse
212839709CPHF Random Extension (CLS) fuse fuse
3330801744-Restricted SCPHF RE (CL) fuse
3531416143-Restricted SCPHF RE (CL) fuse
3631454542-Restricted SCPHF RE (CL) fuse
5140632144-Restricted SCPHF RE (CL) fuse
5441287344-Restricted SCPHF RE (CL) fuse
6041901743-Restricted SCPHF RE (CL) fuse
6241940142-Restricted SCPHF RE (CL) fuse
654194254SCPHF Random Extension (CLS) fuse
9251117744-Restricted SCPHF RE (CL) fuse
10151772944-Restricted SCPHF RE (CL) fuse
10652387343-Restricted SCPHF RE (CL) fuse
11852425742-Restricted SCPHF RE (CL) fuse
14360948144-Restricted SCPHF RE (CL) fuse
16061603344-Restricted SCPHF RE (CL) fuse
18162258544-Restricted SCPHF RE (CL) fuse
19762872943-Restricted SCPHF RE (CL) fuse
20662911342-Restricted SCPHF RE (CL) fuse
2076291374SCPHF Random Extension (CLS) fuse
24671433744-Restricted SCPHF RE (CL) fuse
27972088944-Restricted SCPHF RE (CL) fuse
32872744144-Restricted SCPHF RE (CL) fuse
35773358543-Restricted SCPHF RE (CL) fuse
37673396942-Restricted SCPHF RE (CL) fuse
3797339934SCPHF Random Extension (CLS) fuse
6318388494SCPHF Random Extension (CLS) fuse
67111358733SCPHF Random Extension (CLS) fuse fuse
67214688073Add 1 factors
67316767073Add 2 factors
67417475823Add 3 factors
67518379440Add 4 factors
67618473940Add 5 factors
68319595053Add 16 factors
68719602733Add 16 factors
78219808651SCPHF Random Extension (CLS) fuse fuse fuse fuse
78323188391Add 1 factors
94525165479perfect hash family3,945,631
94628595619Add 1 factors
94730721869Add 2 factors
96330801730Power N-CT31^2+2
96531105957perfect hash family3,1005,671T40
101531450690Power N-CT37^2T2S9
104431454530Power N-CT37^2Arc(10)
107332270330Martirosyan-TVT variant
108932308758Martirosyan-TVT variant
123032308852perfect hash family4,3125,625T379
139532374372perfect hash family4,3125,625T346
164032439892perfect hash family4,3125,625T297
178532501332perfect hash family4,3125,625T268
188032505172perfect hash family4,3125,625T249
189532505412perfect hash family4,3125,625T246
312533553972perfect hash family4,3125,625
312637634272Add 1 factors
318637650117Power N-CT59^2T5
318737673157Power N-CT61^2Arc(2)T7
324037676997Power N-CT61^2T7T1
329437680837Power N-CT61^2T7
348237711557Power N-CT59^2+1
348337730757Power N-CT61^2Arc(4)
354137734597Power N-CT61^2Arc(3)
360037738437Power N-CT61^2T1T1
366037742277Power N-CT61^2T1
372237746117Power N-CT61^2+1
372537748277perfect hash family9,3725,65
372641831517Add 1 factors
378443249317Power N-CT67^2Trin2,2,7
391043253157Power N-CT67^2Trin2,2,5
409943253397Power N-CT67^2Trin2,2,2
422544170917Power N-CT67^2T2T2
453944957397Power N-CT89^2T38
480645022917Power N-CT89^2T35
534045084357Power N-CT89^2T29
551845088197Power N-CT89^2T27
578545088437Power N-CT89^2T24
598045547077Power N-CT97^2T32T5
606045608517Power N-CT101^2T41
626245612357Power N-CT101^2T39
656545612597Power N-CT101^2T36
792446005957Power N-CT89^2+3
802946399077Power N-CT97^2Trin5,5,5
846446464597Power N-CT97^2T5T5
929246530117Power N-CT101^2T9
1000046595637Power N-CT101^2