Table for CAN(5,k,16) 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,16) 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
171048576orthogonal array
181419855orthogonal array fuse
192096896Path-Restricted SCPHF RE (C)
202097136SCPHF Random Extension (CLS)
212839711CPHF Random Extension (CLS) fuse
333080176Quad-Restricted SCPHF RE (C)
353141616Tri-Restricted SCPHF RE (C)
363145456Path-Restricted SCPHF RE (C)
514063216Quad-Restricted SCPHF RE (C)
544128736Quad-Restricted SCPHF RE (C)
654194256SCPHF Random Extension (CLS)
925111776Quad-Restricted SCPHF RE (C)
1015177296Quad-Restricted SCPHF RE (C)
1145242816SCPHF Random Extension (CLS)
1175242876CPHF Random Extension (CLS)
1436094816Quad-Restricted SCPHF RE (C)
1606160336Quad-Restricted SCPHF RE (C)
1816225856Quad-Restricted SCPHF RE (C)
2076291376SCPHF Random Extension (CLS)
3797339936SCPHF Random Extension (CLS)
6318388496SCPHF Random Extension (CLS)
67111358735SCPHF Random Extension (CLS) fuse
67215164175Add 1 factors
67317905935Add 2 factors
67418888975Add 3 factors
78219808653SCPHF Random Extension (CLS) fuse fuse fuse
78323671693Add 1 factors
94525165485perfect hash family3,945,631
94629086125Add 1 factors
96330801750Power N-CT31^2+2
96531105963perfect hash family3,1005,671T40
101531450710Power N-CT37^2T2S9
104431454550Power N-CT37^2Arc(10)
107232372310Power N-CT37^2Arc(9)
189532505420perfect hash family4,3125,625T246
312533553980perfect hash family4,3125,625
329437682775Power N-CT61^2T7
372537748295perfect hash family9,3725,65
372642417735Add 1 factors
409943253415Power N-CT67^2Trin2,2,2
422544170935Power N-CT67^2T2T2
453944957415Power N-CT89^2T38
480645022935Power N-CT89^2T35
578545088455Power N-CT89^2T24
598045547095Power N-CT97^2T32T5
656545612615Power N-CT101^2T36
792446005975Power N-CT89^2+3
802946399095Power N-CT97^2Trin5,5,5
846446464615Power N-CT97^2T5T5
929246530135Power N-CT101^2T9
1000046595655Power N-CT101^2
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