Table for CAN(5,k,12) 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,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
187403873-Restricted SCPHF RE (CL) fuse
19742571SCPHF Random Extension (CLS) fuse
2910853034-Restricted SCPHF RE (CL) fuse
3111116673-Restricted SCPHF RE (CL) fuse
4414280354,4-Restricted SCPHF RE (CL) fuse
4714543994,3-restricted SCPHF RE (CL) fuse
4814565834-Restricted SCPHF RE (CL) fuse
5114807633,3-Restricted SCPHF RE (CL) fuse
5214827913,2-restricted SCPHF RE (CL) fuse
5314829473-Restricted SCPHF RE (CL) fuse
5514849752-Restricted SCPHF RE (CL) fuse
7517993154,4-Restricted SCPHF RE (CL) fuse
8418278634-Restricted SCPHF RE (CL) fuse
8818542273-Restricted SCPHF RE (CL) fuse
9218562552-Restricted SCPHF RE (CL) fuse
931856411SCPHF Random Extension (CLS) fuse
10621420474,4,4-Restricted SCPHF RE (CL) fuse
12021705954,4-Restricted SCPHF RE (CL) fuse
14021991434-Restricted SCPHF RE (CL) fuse
15322255073-Restricted SCPHF RE (CL) fuse
15622275352-Restricted SCPHF RE (CL) fuse
1572227691SCPHF Random Extension (CLS) fuse
18625133274,4,4-Restricted SCPHF RE (CL) fuse
20925418754,4-Restricted SCPHF RE (CL) fuse
23725704234-Restricted SCPHF RE (CL) fuse
26125967873-Restricted SCPHF RE (CL) fuse
27125988152-Restricted SCPHF RE (CL) fuse
2722598971SCPHF Random Extension (CLS) fuse
32428846074,4,4-Restricted SCPHF RE (CL) fuse
34929131554,4-Restricted SCPHF RE (CL) fuse
37929417034-Restricted SCPHF RE (CL) fuse
44229680673-Restricted SCPHF RE (CL) fuse
45029700952-Restricted SCPHF RE (CL) fuse
4522970251SCPHF Random Extension (CLS) fuse
4542970335CPHF Random Extension (CLS) fuse
52332558874,4,4-Restricted SCPHF RE (CL) fuse
56732844354,4-Restricted SCPHF RE (CL) fuse
65333129834-Restricted SCPHF RE (CL) fuse
75033393473-Restricted SCPHF RE (CL) fuse
76433413752-Restricted SCPHF RE (CL) fuse
7673341531SCPHF Random Extension (CLS) fuse
7684572827Add 1 factors
7695257115Add 2 factors
7705485211Add 3 factors
7715793949Add 4 factors
7725832064Add 5 factors
7776331739Add 13 factors
7806331895Add 13 factors
7817563191Add 13 factors
7828247479Add 13 factors
7838475575Add 13 factors
7848784313Add 13 factors
7858822428Add 13 factors
7909322103Add 13 factors
7939322259Add 13 factors
8159646758perfect hash family3,1122,749T307
8239648786perfect hash family3,1122,749T299
8259648942perfect hash family3,1122,749T297
8279649026perfect hash family3,1122,749T295
8309652842perfect hash family3,1143,763T313
8329652998perfect hash family3,1143,763T311
8349653082perfect hash family3,1143,763T309
8369653394perfect hash family3,1149,767T313
8499853302perfect hash family3,849,567
8929910398perfect hash family3,978,653T86
8969934578perfect hash family3,1122,749T226
9039938634perfect hash family3,1143,763T240
9789938946perfect hash family3,978,653
10269991674perfect hash family3,1122,749T96
10339995730perfect hash family3,1143,763T110
10359996042perfect hash family3,1149,767T114
112310018038perfect hash family3,1123,750
113010022094perfect hash family3,1143,763T13
113210022406perfect hash family3,1149,767T17
114410024122perfect hash family3,1144,764
114610024434perfect hash family3,1149,767T3
114910024590perfect hash family3,1149,767
115011337330Add 1 factors
120411507388Martirosyan-TVT
120511562828Martirosyan-TVT variant
122811618268Martirosyan-TVT
130612055115Martirosyan-Colbourn
130812081479Martirosyan-Colbourn
144212105503Martirosyan-Colbourn
150012129527Martirosyan-Colbourn
152812131555Martirosyan-Colbourn
153412131711Martirosyan-Colbourn
162012823552perfect hash family4,3125,625T301
174512852100perfect hash family4,3125,625T276
185012852306Power N-CT43^2+1
189512880648perfect hash family4,3125,625T246
221012907012perfect hash family4,3125,625T183
225012909040perfect hash family4,3125,625T175
226012909196perfect hash family4,3125,625T173
227012909280perfect hash family4,3125,625T171
261513194832perfect hash family4,3125,625T102
283513223380perfect hash family4,3125,625T58
312513251928perfect hash family4,3125,625
312614900740Add 1 factors
312715640468Add 2 factors
321215822546Power N-CT73^2T29
343115848910Power N-CT73^2T26
350415851094Power N-CT73^2T25
372315875274Power N-CT73^2T22
379615877302Power N-CT73^2T21
386915877458Power N-CT73^2T20
401515879486Power N-CT73^2T18
412516079322Power N-CT79^2T24T4
423316103658Power N-CT83^2T32
431616105686Power N-CT83^2T31
439916105842Power N-CT83^2T30
456516107870Power N-CT83^2T28
533116193826Power N-CT73^2+2
534116365114Power N-CT79^2Trin4,4,4
562516393662Power N-CT79^2T4T4
622516422210Power N-CT83^2T8
689016450758Power N-CT83^2+1
697716647474Power N-CT89^2Trin1,5,5
705616649502Power N-CT89^2T5T5
706616667754Power N-CT89^2Arc(5)T5
714616669782Power N-CT89^2Arc(4)T5
722716671810Power N-CT89^2Arc(3)T5
730916673838Power N-CT89^2Arc(2)T5
739216675866Power N-CT89^2T5T1
747616677894Power N-CT89^2T5
748616696146Power N-CT89^2Arc(5)
757116698174Power N-CT89^2Arc(4)
765716700202Power N-CT89^2Arc(3)
774416702230Power N-CT89^2T1T1
783216704258Power N-CT89^2T1
792416706286Power N-CT89^2+3
792516707690perfect hash family9,7925,93
802918421038Power N-CT97^2Trin5,5,5
811618421194Power N-CT97^2Trin4,5,5
820418421350Power N-CT97^2Trin4,4,5
829318421506Power N-CT97^2Trin4,4,4
846418706830Power N-CT97^2T5T5
855618706986Power N-CT97^2T5T4
864918707142Power N-CT97^2T4T4
865218964230perfect hash family9,10609,103T19
906418990594perfect hash family9,10609,103T15
947618992622perfect hash family9,10609,103T11
957918992778perfect hash family9,10609,103T10
994419218978perfect hash family9,12769,113T25
1000019221006perfect hash family9,11881,109T17
 Graph: