Table for CAN(5,k,16) 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,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
2020930563-Restricted SCPHF RE (CL)
212839711CPHF Random Extension (CLS) fuse
3330801764-Restricted SCPHF RE (CL)
3631416163-Restricted SCPHF RE (CL)
3831454562-Restricted SCPHF RE (CL)
5340632164,4-Restricted SCPHF RE (CL)
5641287364-Restricted SCPHF RE (CL)
6441901763-Restricted SCPHF RE (CL)
664194256SCPHF Random Extension (CLS)
9251117764,4-Restricted SCPHF RE (CL)
10351772964-Restricted SCPHF RE (CL)
11152387363-Restricted SCPHF RE (CL)
11952425762-Restricted SCPHF RE (CL)
14660948164,4,4-Restricted SCPHF RE (CL)
16561603364,4-Restricted SCPHF RE (CL)
18562258564-Restricted SCPHF RE (CL)
19762872963-Restricted SCPHF RE (CL)
20662911362-Restricted SCPHF RE (CL)
2076291376SCPHF Random Extension (CLS)
2106291451CPHF Random Extension (CLS)
24871433764,4,4-Restricted SCPHF RE (CL)
28472088964,4-Restricted SCPHF RE (CL)
33672744164-Restricted SCPHF RE (CL)
36073358563-Restricted SCPHF RE (CL)
37673396962-Restricted SCPHF RE (CL)
3797339936SCPHF Random Extension (CLS)
45481919364,4,4-Restricted SCPHF RE (CL)
51582574564,4-Restricted SCPHF RE (CL)
58283229764-Restricted SCPHF RE (CL)
64183844163-Restricted SCPHF RE (CL)
65083882562-Restricted SCPHF RE (CL)
6568388496SCPHF Random Extension (CLS)
76692404964,4,4-Restricted SCPHF RE (CL)
76713103536Add 1 factors
76815906736Add 2 factors
76916889776Add 3 factors
78217872816Add 16 factors
78319588192Add 17 factors
838198018133-Restricted SCPHF RE (CL) fuse fuse fuse
851198083112-Restricted SCPHF RE (CL) fuse fuse fuse
85223728951Add 1 factors
87124968925perfect hash family3,871,582
90125091805perfect hash family3,960,641T59
90525099485perfect hash family3,972,649T67
90825099965perfect hash family3,981,655T73
96025153245perfect hash family3,960,641
96425160925perfect hash family3,972,649T8
96725161405perfect hash family3,981,655T14
97325164765perfect hash family3,973,650
97625165245perfect hash family3,981,655T5
98225165485perfect hash family3,982,656
102226865405perfect hash family3,1146,765T124
103126869245perfect hash family3,1146,765T115
103726869485perfect hash family3,1146,765T109
114727721485perfect hash family3,1147,766
115631381590Power N-CT37^2Arc(2)T4
118831385430Power N-CT37^2T4T1
122131389270Power N-CT37^2T4
122731439190Power N-CT37^2Arc(4)
126131443030Power N-CT37^2Arc(3)
129631446870Power N-CT37^2T1T1
133231450710Power N-CT37^2T1
137031454550Power N-CT37^2+1
142032362140perfect hash family4,3125,625T341
168032427660perfect hash family4,3125,625T289
180032489100perfect hash family4,3125,625T265
188032492940perfect hash family4,3125,625T249
189532493180perfect hash family4,3125,625T246
227033345180perfect hash family4,3125,625T171
257533410700perfect hash family4,3125,625T110
291033476220perfect hash family4,3125,625T43
312533537660perfect hash family4,3125,625
328436765255Power N-CT67^2Arc(9)T11
374836826695Power N-CT67^2Arc(9)T3
380636830775Power N-CT67^2Arc(9)T2
392237748295Power N-CT67^2Arc(9)
398138665815Power N-CT67^2Arc(8)
404139583335Power N-CT67^2Arc(7)
410240500855Power N-CT67^2Arc(6)
416441418375Power N-CT67^2Arc(5)
422742335895Power N-CT67^2Arc(4)
429143253415Power N-CT67^2Arc(3)
435644170935Power N-CT67^2T1T1
471744957415Power N-CT89^2T36
498445022935Power N-CT89^2T33
569645084375Power N-CT89^2T25
587445088455Power N-CT89^2T23
588845543015Power N-CT97^2T33T5
607245547095Power N-CT97^2T31T5
659245608535perfect hash family9,10609,103T39
679845612615perfect hash family9,10609,103T37
792446005975Power N-CT89^2+3
802946399095Power N-CT97^2Trin5,5,5
846446464615Power N-CT97^2T5T5
947646530135perfect hash family9,10609,103T11
1000046595655Power N-CT101^2
 Graph: