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

Last Updated Fri Sep 15 07:41:46 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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kNSource
6759375Derive from strength 6
7860625Ji-Li-Yin
171048574orthogonal array fuse
181419853orthogonal array fuse fuse
192096894Path-Restricted SCPHF RE (C) fuse
202097134SCPHF Random Extension (CLS) fuse
212839709CPHF Random Extension (CLS) fuse fuse
333080174Quad-Restricted SCPHF RE (C) fuse
353141614Tri-Restricted SCPHF RE (C) fuse
363145454Path-Restricted SCPHF RE (C) fuse
514063214Quad-Restricted SCPHF RE (C) fuse
544128734Quad-Restricted SCPHF RE (C) fuse
654194254SCPHF Random Extension (CLS) fuse
925111774Quad-Restricted SCPHF RE (C) fuse
1015177294Quad-Restricted SCPHF RE (C) fuse
1145242814SCPHF Random Extension (CLS) fuse
1175242874CPHF Random Extension (CLS) fuse
1436094814Quad-Restricted SCPHF RE (C) fuse
1606160334Quad-Restricted SCPHF RE (C) fuse
1816225854Quad-Restricted SCPHF RE (C) fuse
2076291374SCPHF Random Extension (CLS) 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
108832300064Martirosyan-TVT
108932308758Martirosyan-TVT variant
109232376976Martirosyan-TVT
189532505412perfect hash family4,3125,625T246
312533553972perfect hash family4,3125,625
312637634272Add 1 factors
329437682757Power N-CT61^2T7
372537748277perfect hash family9,3725,65
372641831517Add 1 factors
409943253397Power N-CT67^2Trin2,2,2
422544170917Power N-CT67^2T2T2
453944957397Power N-CT89^2T38
480645022917Power N-CT89^2T35
578545088437Power N-CT89^2T24
598045547077Power N-CT97^2T32T5
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
 Graph: