Table for CAN(5,k,12) for k up to 10000

Last Updated Tue Mar 8 20:11:31 MST 2022

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
331113875CPHF IPO 3 (WCS) 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
621485167CPHF IPO 4 (WCS) 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
1111856459CPHF IPO 5 (WCS) 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
1882227751CPHF IPO 6 (WCS) 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
7684496135Add 1 factors
7695180423Add 2 factors
7705408519Add 3 factors
7715717257Add 4 factors
7725755372Add 5 factors
7776241103Add 13 factors
7806241259Add 13 factors
7817395863Add 13 factors
7828080151Add 13 factors
7838308247Add 13 factors
7848616985Add 13 factors
7858655100Add 13 factors
7869140831Add 13 factors
7889142703Add 13 factors
7899144575Add 13 factors
7909146447Add 13 factors
7939146603Add 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
120411266092Martirosyan-TVT
120511321532Martirosyan-TVT variant
122811376972Martirosyan-TVT
130611813819Martirosyan-Colbourn
142411840183Martirosyan-Colbourn
149012105503Martirosyan-Colbourn
150012127811Martirosyan-Colbourn
152812129839Martirosyan-Colbourn
153412129995Martirosyan-Colbourn
155112749058Power N-CT47^2T14
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
317213364118Power N-CT61^2T9
323313364274Power N-CT61^2T8
335513366302Power N-CT61^2T6
372213366494Power N-CT61^2+1
372315015306Add 1 factors
384415565530Power N-CT67^2T5T5
386915877458Power N-CT73^2T20
401515879486Power N-CT73^2T18
452615879678Power N-CT73^2T11
465016079514Power N-CT79^2T17T4
514616108062Power N-CT83^2T21
533116193826Power N-CT73^2+2
533516329114Power N-CT89^2Arc(3)T27
539516331142Power N-CT89^2Arc(2)T27
555916332426perfect hash family9,11881,109T58
566816334454perfect hash family9,11881,109T57
577716334610perfect hash family9,11881,109T56
599516336638perfect hash family9,11881,109T54
675816336830perfect hash family9,11881,109T47
689016450758Power N-CT83^2+1
697716647474Power N-CT89^2Trin1,5,5
705616649502Power N-CT89^2T5T5
817516650978perfect hash family9,11881,109T34
915616679526perfect hash family9,11881,109T25
959216705890perfect hash family9,11881,109T21
1000016707918perfect hash family9,11881,109T17
 Graph: