Table for CAN(5,k,15) for k up to 10000

Last Updated Fri Mar 16 13:42:11 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,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
16161603344-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
28172088944-Restricted SCPHF RE (CL) fuse
33672744144-Restricted SCPHF RE (CL) fuse
35973358543-Restricted SCPHF RE (CL) fuse
37673396942-Restricted SCPHF RE (CL) fuse
3797339934SCPHF Random Extension (CLS) fuse
45181919344-Restricted SCPHF RE (CL) fuse
51582574544-Restricted SCPHF RE (CL) fuse
58183229744-Restricted SCPHF RE (CL) fuse
62883844143-Restricted SCPHF RE (CL) 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
80424903399perfect hash family3,870,581T66
87024968919perfect hash family3,870,581
89325091799perfect hash family3,939,627T46
89525099959perfect hash family3,945,631T50
94025153239perfect hash family3,940,628
94225161399perfect hash family3,945,631T3
94525165479perfect hash family3,945,631
94628595619Add 1 factors
94730721869Add 2 factors
96330801730Power N-CT31^2+2
96531105957perfect hash family3,1005,671T40
98531440532perfect hash family4,3125,625T428
103031444372perfect hash family4,3125,625T419
103531444612perfect hash family4,3125,625T418
104431454530Power N-CT37^2Arc(10)
106432046772perfect hash family4,1372,490T154
111032108212perfect hash family4,1372,490T131
114432112052perfect hash family4,1372,490T114
115032112292perfect hash family4,1372,490T111
123032296612perfect hash family4,3125,625T379
140532362132perfect hash family4,3125,625T344
168032427652perfect hash family4,3125,625T289
179532489092perfect hash family4,3125,625T266
188032492932perfect hash family4,3125,625T249
189532493172perfect hash family4,3125,625T246
225533345172perfect hash family4,3125,625T174
257533410692perfect hash family4,3125,625T110
290533476212perfect hash family4,3125,625T44
312533537652perfect hash family4,3125,625
312637617952Add 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