Table for CAN(5,k,12) 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,12) 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
6248832Derive from strength 6
7294080Augment OA
8318386Augment OA
9343426Augment OA
10366175orthogonal array fuse postop NCK
11368394orthogonal array fuse postop NCK
12370873orthogonal array fuse postop NCK
13371076orthogonal array fuse postop NCK
14371273orthogonal array fuse postop NCK
15632736extended OA (Colbourn) special fuse
167140234-Restricted SCPHF RE (CL) fuse
177403873-Restricted SCPHF RE (CL) fuse
19742571SCPHF Random Extension (CLS) fuse
2810853034-Restricted SCPHF RE (CL) fuse
2911116673-Restricted SCPHF RE (CL) fuse
301113851SCPHF Random Extension (CLS) fuse
311113875CPHF Random Extension (CLS) fuse
4114280354-Restricted SCPHF RE (CL) fuse
4714565834-Restricted SCPHF RE (CL) fuse
5214829473-Restricted SCPHF RE (CL) fuse
5414849752-Restricted SCPHF RE (CL) fuse
7217993154-Restricted SCPHF RE (CL) fuse
8018278634-Restricted SCPHF RE (CL) fuse
8518542273-Restricted SCPHF RE (CL) fuse
9018562552-Restricted SCPHF RE (CL) fuse
10621420474-Restricted SCPHF RE (CL) fuse
11921705954-Restricted SCPHF RE (CL) fuse
13821991434-Restricted SCPHF RE (CL) fuse
14622255073-Restricted SCPHF RE (CL) fuse
15122275352-Restricted SCPHF RE (CL) fuse
1532227691SCPHF Random Extension (CLS) fuse
18025133274-Restricted SCPHF RE (CL) fuse
20325418754-Restricted SCPHF RE (CL) fuse
23725704234-Restricted SCPHF RE (CL) fuse
26125967873-Restricted SCPHF RE (CL) fuse
27025988152-Restricted SCPHF RE (CL) fuse
2722599043CPHF Random Extension (CLS) fuse
4452970251SCPHF Random Extension (CLS) fuse
4462970335CPHF Random Extension (CLS) fuse
6623341531SCPHF Random Extension (CLS) fuse
6634466171Add 1 factors
6645133035Add 2 factors
6655361131Add 3 factors
6665668296Add 4 factors
6675706411Add 5 factors
6726181511Add 13 factors
6756183539Add 13 factors
6767308179Add 13 factors
6777975043Add 13 factors
6788203139Add 13 factors
6798510304Add 13 factors
6808550146Add 5 factors
6859025547Add 13 factors
6889027575Add 13 factors
7749653310perfect hash family3,990,661T216
7759653394perfect hash family3,990,661T215
99110024590perfect hash family3,991,662
99211263278Add 1 factors
104811293980Martirosyan-TVT
120411535936Martirosyan-TVT
120511591376Martirosyan-TVT variant
122811646816Martirosyan-TVT
130812083663Martirosyan-Colbourn
132412107687Martirosyan-Colbourn
135012623404perfect hash family4,3125,625T355
136012623632perfect hash family4,3125,625T353
136312764322Power N-CT47^2T18
141012766506Power N-CT47^2T17
145712766530Power N-CT47^2T16
168112852306Power N-CT41^2
222512994840perfect hash family4,3125,625T180
223012994924perfect hash family4,3125,625T179
226613326234Power N-CT53^2Arc(5)T6
230913328262Power N-CT53^2Arc(4)T6
235313330290Power N-CT53^2Arc(3)T6
239813332318Power N-CT53^2Arc(2)T6
244413334346Power N-CT53^2T6T1
249113336374Power N-CT53^2T6
250613352598Power N-CT53^2Arc(6)
255413354626Power N-CT53^2Arc(5)
260313356654Power N-CT53^2Arc(4)
265313358682Power N-CT53^2Arc(3)
270413360710Power N-CT53^2T1T1
275613362738Power N-CT53^2T1
281013364766Power N-CT53^2+1
312513366120perfect hash family4,3125,625
312615014932Add 1 factors
312715754660Add 2 factors
336415848910Power N-CT73^2Arc(9)T21
349215850938Power N-CT73^2Arc(9)T19
369215877458Power N-CT71^2T19
383415879486Power N-CT71^2T17
383516050774Power N-CT73^2Arc(2)T19
388816079322Power N-CT73^2T19T1
410816105842Power N-CT79^2T27
426616107870Power N-CT79^2T25
458016165278Power N-CT73^2Arc(9)T2
504216193826Power N-CT71^2+1
504316336566Power N-CT73^2Arc(4)
511316365114Power N-CT73^2Arc(3)
518416393662Power N-CT73^2T1T1
568816422210Power N-CT79^2T7
624216450758Power N-CT79^2+1
640016635306Power N-CT83^2T3T3
640816649346Power N-CT89^2T17
664016661670Power N-CT83^2T3
680016675866Power N-CT89^2T9T4
712016677894Power N-CT89^2T9
722516702230Power N-CT89^2T4T4
756516704258Power N-CT89^2T4
792216706286Power N-CT89^2+1
792318622794Add 1 factors
810018706830Power N-CT97^2T7T7
824018964230perfect hash family9,10609,103T23
875518990594perfect hash family9,10609,103T18
927018992622perfect hash family9,10609,103T13
960519218978perfect hash family9,12769,113T28
1000019221006perfect hash family9,12769,113T23
 Graph: