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

Last Updated Sat Jul 28 12:53:06 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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kNSource
6759375Derive from strength 6
7860625Ji-Li-Yin
171048574orthogonal array fuse
181419853orthogonal array fuse fuse
2020930543-Restricted SCPHF RE (CL) fuse
212839709CPHF Random Extension (CLS) fuse fuse
3330801744-Restricted SCPHF RE (CL) fuse
3631416143-Restricted SCPHF RE (CL) fuse
3831454542-Restricted SCPHF RE (CL) fuse
5340632144,4-Restricted SCPHF RE (CL) fuse
5641287344-Restricted SCPHF RE (CL) fuse
6441901743-Restricted SCPHF RE (CL) fuse
664194254SCPHF Random Extension (CLS) fuse
9251117744,4-Restricted SCPHF RE (CL) fuse
10351772944-Restricted SCPHF RE (CL) fuse
11152387343-Restricted SCPHF RE (CL) fuse
11952425742-Restricted SCPHF RE (CL) fuse
14660948144,4,4-Restricted SCPHF RE (CL) fuse
16561603344,4-Restricted SCPHF RE (CL) fuse
18562258544-Restricted SCPHF RE (CL) fuse
19762872943-Restricted SCPHF RE (CL) fuse
20662911342-Restricted SCPHF RE (CL) fuse
2076291374SCPHF Random Extension (CLS) fuse
2106291449CPHF Random Extension (CLS) fuse
24871433744,4,4-Restricted SCPHF RE (CL) fuse
28472088944,4-Restricted SCPHF RE (CL) fuse
33672744144-Restricted SCPHF RE (CL) fuse
36073358543-Restricted SCPHF RE (CL) fuse
37673396942-Restricted SCPHF RE (CL) fuse
3797339934SCPHF Random Extension (CLS) fuse
45481919344,4,4-Restricted SCPHF RE (CL) fuse
51582574544,4-Restricted SCPHF RE (CL) fuse
58283229744-Restricted SCPHF RE (CL) fuse
64183844143-Restricted SCPHF RE (CL) fuse
65083882542-Restricted SCPHF RE (CL) fuse
6568388494SCPHF Random Extension (CLS) fuse
76692404944,4,4-Restricted SCPHF RE (CL) fuse
76712620234Add 1 factors
76814746484Add 2 factors
76915455234Add 3 factors
77016362211Add 4 factors
77116456711Add 5 factors
78217599694Add 16 factors
78319254718Add 17 factors
838198018113-Restricted SCPHF RE (CL) fuse fuse fuse fuse
851198083092-Restricted SCPHF RE (CL) fuse fuse fuse fuse
85223238449Add 1 factors
87124968919perfect hash family3,871,582
90125091799perfect hash family3,960,641T59
90525099479perfect hash family3,972,649T67
90825099959perfect hash family3,981,655T73
96025153239perfect hash family3,960,641
96425160919perfect hash family3,972,649T8
96725161399perfect hash family3,981,655T14
97325164759perfect hash family3,973,650
97625165239perfect hash family3,981,655T5
98225165479perfect hash family3,982,656
102226865399perfect hash family3,1146,765T124
103126869239perfect hash family3,1146,765T115
103726869479perfect hash family3,1146,765T109
114727721479perfect hash family3,1147,766
115631381570Power N-CT37^2Arc(2)T4
118831385410Power N-CT37^2T4T1
122131389250Power N-CT37^2T4
122731439170Power N-CT37^2Arc(4)
126131443010Power N-CT37^2Arc(3)
129631446850Power N-CT37^2T1T1
133231450690Power N-CT37^2T1
137031454530Power N-CT37^2+1
142032362132perfect hash family4,3125,625T341
168032427652perfect hash family4,3125,625T289
180032489092perfect hash family4,3125,625T265
188032492932perfect hash family4,3125,625T249
189532493172perfect hash family4,3125,625T246
227033345172perfect hash family4,3125,625T171
257533410692perfect hash family4,3125,625T110
291033476212perfect hash family4,3125,625T43
312533537652perfect hash family4,3125,625
328436765237Power N-CT67^2Arc(9)T11
374836826677Power N-CT67^2Arc(9)T3
380636830757Power N-CT67^2Arc(9)T2
392237748277Power N-CT67^2Arc(9)
398138665797Power N-CT67^2Arc(8)
404139583317Power N-CT67^2Arc(7)
410240500837Power N-CT67^2Arc(6)
416441418357Power N-CT67^2Arc(5)
422742335877Power N-CT67^2Arc(4)
429143253397Power N-CT67^2Arc(3)
435644170917Power N-CT67^2T1T1
471744957397Power N-CT89^2T36
498445022917Power N-CT89^2T33
569645084357Power N-CT89^2T25
587445088437Power N-CT89^2T23
588845542997Power N-CT97^2T33T5
607245547077Power N-CT97^2T31T5
659245608517perfect hash family9,10609,103T39
679845612597perfect hash family9,10609,103T37
792446005957Power N-CT89^2+3
802946399077Power N-CT97^2Trin5,5,5
846446464597Power N-CT97^2T5T5
947646530117perfect hash family9,10609,103T11
1000046595637Power N-CT101^2
 Graph: