Table for CAN(6,k,12) for k up to 10000

Last Updated Sat Sep 16 02:03:55 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;6,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
72985984composition
83546657Augment OA
93859296Augment OA
104191958Augment OA
114542844Augment OA
144826807orthogonal array fuse
158225568extended OA (Colbourn) special fuse
169651419Tri-Restricted SCPHF RE (C) fuse
2014109119Quint-Restricted SCPHF RE (C) fuse
2214451851Quad-Restricted SCPHF RE (C) fuse
2314480399SCPHF Random Extension (CLS) fuse
2918564635Quint-Restricted SCPHF RE (C) fuse
3018935915Quint-Restricted SCPHF RE (C) fuse
3319307195SCPHF Random Extension (CLS) fuse
3519307231CPHF Random Extension (CLS) fuse
4023391431Quint-Restricted SCPHF RE (C) fuse
4923762711Quint-Restricted SCPHF RE (C) fuse
5424133991SCPHF Random Extension (CLS) fuse
5927846947Quint-Restricted SCPHF RE (C) fuse
6528218227Quint-Restricted SCPHF RE (C) fuse
7128589507Quint-Restricted SCPHF RE (C) fuse
8128960787SCPHF Random Extension (CLS) fuse
8228960847CPHF Random Extension (CLS) fuse
12233787583SCPHF Random Extension (CLS) fuse
12333787655CPHF Random Extension (CLS) fuse
20038614379SCPHF Random Extension (CLS) fuse
20238614463CPHF Random Extension (CLS) fuse
25043441175SCPHF Random Extension (CLS) fuse
25162284307Add 1 factors
25273727123Add 2 factors
25380265875Add 3 factors
25588782021Add 5 factors
25692579095Add 6 factors
26397998119Add 13 factors
264116841251Add 13 factors
265128284067Add 13 factors
266134822819Add 13 factors
268143338965Add 13 factors
269147136039Add 13 factors
271152818703Add 13 factors
274152826191Add 13 factors
315154457512perfect hash family4,315,200
317154457848perfect hash family4,317,202
346168937900perfect hash family4,396,250T50
348168937984perfect hash family4,396,250T48
352171062551Martirosyan-TVT
353171302335Martirosyan-TVT variant
360171542119Martirosyan-TVT
364171856147Martirosyan-TVT
365172291219Martirosyan-TVT variant
366172726291Martirosyan-TVT
396173764696perfect hash family4,396,250
444193071890perfect hash family5,444,200
446193072226perfect hash family5,450,202T2
450193072310perfect hash family5,450,202
451206905167Martirosyan-TVT variant
453207190357Martirosyan-TVT variant
455209186687Martirosyan-TVT variant
459209471877Martirosyan-TVT variant
470212038587Martirosyan-TVT
478212379074perfect hash family5,570,246T46
482212379158perfect hash family5,570,246T44
574217205870perfect hash family5,574,250
575242720810Add 1 factors
576254163626Add 2 factors
642255820248perfect hash family6,730,244T44
646255820332perfect hash family6,730,244T42
736260647044perfect hash family6,736,250
841278469510Power N-CT29^2
842284038710Power N-CT29^2+1
843288122790Power N-CT31^2Arc(4)
871288494070Power N-CT31^2Arc(3)
900288865350Power N-CT31^2T1T1
930289236630Power N-CT31^2T1
963289607910Power N-CT31^2+2
965289608450perfect hash family15,965,35
1025308915104Power CT32^2+1
1027308915680Power CT32^2+3
1051319311500Power N-CT41^2Trin6,6,6
1081323395628Power N-CT47^2T24
1128323395664Power N-CT41^2Trin1,6,8
1196323395700Power N-CT41^2Trin1,6,6
1225323766980Power N-CT41^2T6T6
1240325994780Power N-CT41^2Arc(6)T6
1270326366060Power N-CT41^2Arc(5)T6
1301326737340Power N-CT41^2Arc(4)T6
1333327108620Power N-CT41^2Arc(3)T6
1363327479864Power N-CT47^2T18
1366327479900Power N-CT41^2Arc(2)T6
1410327851144Power N-CT47^2T17
1551328222424Power N-CT47^2T14
1645328222460Power N-CT47^2T12
1880332306660Power N-CT47^2T7
2211332677940Power N-CT47^2+2
2221336762020Power N-CT53^2Trin4,4,4
2401337133300Power N-CT53^2T4T4
2597337504580Power N-CT53^2T4
2810337875860Power N-CT53^2+1
2846366465346Power N-CT73^2Trin2,19,19
2916366836626Power N-CT73^2T19T19
3142370178302Power N-CT73^2Trin8,8,19
3418370549582Power N-CT73^2Trin2,8,19
3730370920862Power N-CT73^2Trin2,2,19
3871371292142Power N-CT79^2T30
4266371663422Power N-CT79^2T25
5748371664202Power N-CT83^2Arc(13)T2
6243376490218Power N-CT79^2+2
6244376490998Power N-CT79^2+3
6253400624678Power N-CT83^2Arc(8)
6329405451414Power N-CT83^2Arc(7)
6406410278150Power N-CT83^2Arc(6)
6484415104886Power N-CT83^2Arc(5)
6563419931622Power N-CT83^2Arc(4)
6643424758358Power N-CT83^2Arc(3)
6724429585094Power N-CT83^2T1T1
7345433669210perfect hash family13,12769,113T48
8023434040490perfect hash family13,12769,113T42
9153434411770perfect hash family13,12769,113T32
9266434411830perfect hash family13,12769,113T31
10000439238566Power N-CT101^2
 Graph: