Table for CAN(5,k,13) for k up to 10000

Last Updated Sun Nov 19 11:04:53 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,13) 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
14371293orthogonal array
15711828extended OA (Colbourn)
167140254-Restricted SCPHF RE (CL)
177403893-Restricted SCPHF RE (CL)
19742573SCPHF Random Extension (CLS)
2810853054-Restricted SCPHF RE (CL)
2911116693-Restricted SCPHF RE (CL)
301113853SCPHF Random Extension (CLS)
311113877CPHF Random Extension (CLS)
4114280374-Restricted SCPHF RE (CL)
4714565854-Restricted SCPHF RE (CL)
5214829493-Restricted SCPHF RE (CL)
5414849772-Restricted SCPHF RE (CL)
7217993174-Restricted SCPHF RE (CL)
8018278654-Restricted SCPHF RE (CL)
8518542293-Restricted SCPHF RE (CL)
9018562572-Restricted SCPHF RE (CL)
10621420494-Restricted SCPHF RE (CL)
11921705974-Restricted SCPHF RE (CL)
13821991454-Restricted SCPHF RE (CL)
14622255093-Restricted SCPHF RE (CL)
15122275372-Restricted SCPHF RE (CL)
1532227693SCPHF Random Extension (CLS)
18025133294-Restricted SCPHF RE (CL)
20325418774-Restricted SCPHF RE (CL)
23725704254-Restricted SCPHF RE (CL)
26125967893-Restricted SCPHF RE (CL)
27025988172-Restricted SCPHF RE (CL)
2722599045CPHF Random Extension (CLS)
4452970253SCPHF Random Extension (CLS)
4462970337CPHF Random Extension (CLS)
6623341533SCPHF Random Extension (CLS)
6634706377Add 1 factors
6645681845Add 2 factors
6656024577Add 3 factors
6756367309Add 13 factors
6767732153Add 13 factors
6778707621Add 13 factors
6789050353Add 13 factors
6889393085Add 13 factors
7749653316perfect hash family3,990,661T216
7759653400perfect hash family3,990,661T215
99110024596perfect hash family3,991,662
99211632800Add 1 factors
104511881008perfect hash family4,1045,445
104611881344perfect hash family4,1046,446
114812509592Power N-CT41^2T13
118912535956Power N-CT41^2T12
123012538140Power N-CT41^2T11
127112538164Power N-CT41^2T10
130512621384perfect hash family4,3125,625T364
135012623412perfect hash family4,3125,625T355
136012623640perfect hash family4,3125,625T353
136312764340Power N-CT47^2T18
141012766524Power N-CT47^2T17
145712766548Power N-CT47^2T16
168112852324Power N-CT41^2
222512994848perfect hash family4,3125,625T180
223012994932perfect hash family4,3125,625T179
226613326252Power N-CT53^2Arc(5)T6
230913328280Power N-CT53^2Arc(4)T6
235313330308Power N-CT53^2Arc(3)T6
239813332336Power N-CT53^2Arc(2)T6
244413334364Power N-CT53^2T6T1
249113336392Power N-CT53^2T6
250613352616Power N-CT53^2Arc(6)
255413354644Power N-CT53^2Arc(5)
260313356672Power N-CT53^2Arc(4)
265313358700Power N-CT53^2Arc(3)
270413360728Power N-CT53^2T1T1
275613362756Power N-CT53^2T1
281013364784Power N-CT53^2+1
312513366128perfect hash family4,3125,625
312615315036Add 1 factors
336415848928Power N-CT73^2Arc(9)T21
349215850956Power N-CT73^2Arc(9)T19
369215877476Power N-CT71^2T19
383415879504Power N-CT71^2T17
383516050792Power N-CT73^2Arc(2)T19
388816079340Power N-CT73^2T19T1
410816105860Power N-CT79^2T27
426616107888Power N-CT79^2T25
458016165296Power N-CT73^2Arc(9)T2
504216193844Power N-CT71^2+1
504316336584Power N-CT73^2Arc(4)
511316365132Power N-CT73^2Arc(3)
518416393680Power N-CT73^2T1T1
568816422228Power N-CT79^2T7
624216450776Power N-CT79^2+1
640016635324Power N-CT83^2T3T3
640816649364Power N-CT89^2T17
664016661688Power N-CT83^2T3
680016675884Power N-CT89^2T9T4
712016677912Power N-CT89^2T9
722516702248Power N-CT89^2T4T4
756516704276Power N-CT89^2T4
792216706304Power N-CT89^2+1
810018706848Power N-CT97^2T7T7
824018964248perfect hash family9,10609,103T23
875518990612perfect hash family9,10609,103T18
927018992640perfect hash family9,10609,103T13
960519218996perfect hash family9,12769,113T28
1000019221024perfect hash family9,12769,113T23
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