Table for CAN(5,k,16) 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,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
1920968962-Restricted SCPHF RE (CL)
202097136SCPHF Random Extension (CLS)
212839711CPHF Random Extension (CLS) fuse
3330801764-Restricted SCPHF RE (CL)
3531416163-Restricted SCPHF RE (CL)
3631454562-Restricted SCPHF RE (CL)
5140632164-Restricted SCPHF RE (CL)
5441287364-Restricted SCPHF RE (CL)
6041901763-Restricted SCPHF RE (CL)
6241940162-Restricted SCPHF RE (CL)
654194256SCPHF Random Extension (CLS)
9251117764-Restricted SCPHF RE (CL)
10151772964-Restricted SCPHF RE (CL)
10652387363-Restricted SCPHF RE (CL)
11852425762-Restricted SCPHF RE (CL)
14360948164-Restricted SCPHF RE (CL)
16161603364-Restricted SCPHF RE (CL)
18162258564-Restricted SCPHF RE (CL)
19762872963-Restricted SCPHF RE (CL)
20662911362-Restricted SCPHF RE (CL)
2076291376SCPHF Random Extension (CLS)
24671433764-Restricted SCPHF RE (CL)
28172088964-Restricted SCPHF RE (CL)
33672744164-Restricted SCPHF RE (CL)
35973358563-Restricted SCPHF RE (CL)
37673396962-Restricted SCPHF RE (CL)
3797339936SCPHF Random Extension (CLS)
45181919364-Restricted SCPHF RE (CL)
51582574564-Restricted SCPHF RE (CL)
58183229764-Restricted SCPHF RE (CL)
62883844163-Restricted SCPHF RE (CL)
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
80424903405perfect hash family3,870,581T66
87024968925perfect hash family3,870,581
89325091805perfect hash family3,939,627T46
89525099965perfect hash family3,945,631T50
94025153245perfect hash family3,940,628
94225161405perfect hash family3,945,631T3
94525165485perfect hash family3,945,631
94629086125Add 1 factors
96330801750Power N-CT31^2+2
96531105963perfect hash family3,1005,671T40
98531440540perfect hash family4,3125,625T428
103031444380perfect hash family4,3125,625T419
103531444620perfect hash family4,3125,625T418
104431454550Power N-CT37^2Arc(10)
106432046780perfect hash family4,1372,490T154
111032108220perfect hash family4,1372,490T131
114432112060perfect hash family4,1372,490T114
115032112300perfect hash family4,1372,490T111
123032296620perfect hash family4,3125,625T379
140532362140perfect hash family4,3125,625T344
168032427660perfect hash family4,3125,625T289
179532489100perfect hash family4,3125,625T266
188032492940perfect hash family4,3125,625T249
189532493180perfect hash family4,3125,625T246
225533345180perfect hash family4,3125,625T174
257533410700perfect hash family4,3125,625T110
290533476220perfect hash family4,3125,625T44
312533537660perfect hash family4,3125,625
318637650135Power N-CT59^2T5
318737673175Power N-CT61^2Arc(2)T7
324037677015Power N-CT61^2T7T1
329437680855Power N-CT61^2T7
348237711575Power N-CT59^2+1
348337730775Power N-CT61^2Arc(4)
354137734615Power N-CT61^2Arc(3)
360037738455Power N-CT61^2T1T1
366037742295Power N-CT61^2T1
372237746135Power N-CT61^2+1
372537748295perfect hash family9,3725,65
372642417735Add 1 factors
378443249335Power N-CT67^2Trin2,2,7
391043253175Power N-CT67^2Trin2,2,5
409943253415Power N-CT67^2Trin2,2,2
422544170935Power N-CT67^2T2T2
453944957415Power N-CT89^2T38
480645022935Power N-CT89^2T35
534045084375Power N-CT89^2T29
551845088215Power N-CT89^2T27
578545088455Power N-CT89^2T24
598045547095Power N-CT97^2T32T5
606045608535Power N-CT101^2T41
626245612375Power N-CT101^2T39
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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