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

Last Updated Thu Jun 7 05:19:24 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;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
1696514193-Restricted SCPHF RE (CL) fuse
20141091195-Restricted SCPHF RE (CL) fuse
22144518514-Restricted SCPHF RE (CL) fuse
2314480399SCPHF Random Extension (CLS) fuse
29185646355-Restricted SCPHF RE (CL) fuse
30189359155-Restricted SCPHF RE (CL) fuse
33192786474-Restricted SCPHF RE (CL) fuse
34193070392-Restricted SCPHF RE (CL) fuse
3519307231CPHF Random Extension (CLS) fuse
41233914315-Restricted SCPHF RE (CL) fuse
49237627115-Restricted SCPHF RE (CL) fuse
51241054434-Restricted SCPHF RE (CL) fuse
52241318073-Restricted SCPHF RE (CL) fuse
53241338352-Restricted SCPHF RE (CL) fuse
5424133991SCPHF Random Extension (CLS) fuse
59278469475-Restricted SCPHF RE (CL) fuse
65282182275-Restricted SCPHF RE (CL) fuse
71285895075-Restricted SCPHF RE (CL) fuse
77289322394-Restricted SCPHF RE (CL) fuse
81289586033-Restricted SCPHF RE (CL) fuse
8228960847CPHF Random Extension (CLS) fuse
91326737435-Restricted SCPHF RE (CL) fuse
102330450235-Restricted SCPHF RE (CL) fuse
111334163035-Restricted SCPHF RE (CL) fuse
121337590354-Restricted SCPHF RE (CL) fuse
124337853993-Restricted SCPHF RE (CL) fuse
20038614379SCPHF Random Extension (CLS) fuse
20238614463CPHF Random Extension (CLS) fuse
25043441175SCPHF Random Extension (CLS) fuse
25162263715Add 1 factors
25273706531Add 2 factors
25380245283Add 3 factors
25588761429Add 5 factors
25692558035Add 6 factors
26397973783Add 13 factors
264116796323Add 13 factors
265128239139Add 13 factors
266134777891Add 13 factors
268143294037Add 13 factors
269147090643Add 13 factors
276152770031Add 13 factors
315154457512perfect hash family4,315,200
317154457848perfect hash family4,317,202
346168937900perfect hash family4,396,250T50
348168937984perfect hash family4,396,250T48
354171062551Martirosyan-TVT
355171302335Martirosyan-TVT variant
364171542119Martirosyan-TVT
365171977191Martirosyan-TVT variant
366172412263Martirosyan-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
471212196099Martirosyan-TVT variant
474212354187Martirosyan-TVT
478212379074perfect hash family5,570,246T46
482212379158perfect hash family5,570,246T44
483213214571Martirosyan-TVT variant
484213499761Martirosyan-TVT
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
843287808762Power N-CT31^2Arc(4)
870288122946Power N-CT31^2T2T1
871288151494Power N-CT31^2Arc(3)
899288465678Power N-CT31^2T2
900288494226Power N-CT31^2T1T1
930288836958Power N-CT31^2T1
963289179690Power N-CT31^2+2
964289605570Power N-CT31^2+3
965289608450perfect hash family15,965,35
1025308458336Power CT32^2+1
1026308912608Power CT32^2+2
1027308915680Power CT32^2+3
1051315227420Power N-CT41^2Trin6,6,6
1089319254452Power N-CT41^2T8T8
1122319282844Power N-CT41^2T8T7
1155319283036Power N-CT41^2T8T6
1156319311236Power N-CT41^2T7T7
1190319311428Power N-CT41^2T7T6
1225319311620Power N-CT41^2T6T6
1230323024504Power N-CT41^2T11
1353323367236Power N-CT41^2T8
1394323395628Power N-CT41^2T7
1435323395820Power N-CT41^2T6
1681327480020Power N-CT41^2
1927332306660Power N-CT47^2T6
2211332677940Power N-CT47^2+2
2221336760304Power N-CT53^2Trin4,4,4
2311337103036Power N-CT53^2Trin2,4,4
2356337129400Power N-CT53^2Trin1,4,4
2401337131428Power N-CT53^2T4T4
2405337445768Power N-CT53^2Trin2,2,4
2452337472132Power N-CT53^2Trin1,2,4
2499337474160Power N-CT53^2T4T2
2500337498496Power N-CT53^2Arc(2)T4
2548337500524Power N-CT53^2T4T1
2597337502552Power N-CT53^2T4
2601337816892Power N-CT53^2T2T2
2602337841228Power N-CT53^2Arc(2)T2
2652337843256Power N-CT53^2T2T1
2703337845284Power N-CT53^2T2
2704337869620Power N-CT53^2T1T1
2756337871648Power N-CT53^2T1
2809337873676Power N-CT53^2
2810337875860Power N-CT53^2+1
2846366179866Power N-CT73^2Trin2,19,19
2862366522442Power N-CT73^2T20T19
2916366522598Power N-CT73^2T19T19
2971369864274Power N-CT73^2Trin8,8,22
3028369890638Power N-CT73^2Trin8,8,21
3085369892666Power N-CT73^2Trin8,8,20
3142369892822Power N-CT73^2Trin8,8,19
3229370235554Power N-CT73^2Trin2,8,22
3292370261918Power N-CT73^2Trin2,8,21
3355370263946Power N-CT73^2Trin2,8,20
3418370264102Power N-CT73^2Trin2,8,19
3445370606678Power N-CT73^2T20T8
3523370606834Power N-CT73^2Trin2,2,22
3592370633198Power N-CT73^2Trin2,2,21
3661370635226Power N-CT73^2Trin2,2,20
3730370635382Power N-CT73^2Trin2,2,19
3763370977958Power N-CT73^2T20T2
3834370978114Power N-CT73^2T19T2
3871371265934Power N-CT79^2T30
3942371320846Power N-CT73^2T19
3979371584330Power N-CT79^2Trin2,2,26
4054371584486Power N-CT79^2Trin2,2,25
4081371610694Power N-CT79^2T26T2
4158371610850Power N-CT79^2T25T2
4187371637058Power N-CT79^2T26
4266371637214Power N-CT79^2T25
5748372775858Power N-CT83^2Arc(13)T2
5779376382734Power N-CT79^2Trin2,2,2
5929376409098Power N-CT79^2T2T2
6083376435462Power N-CT79^2T2
6243376461826Power N-CT79^2+2
6244376490998Power N-CT79^2+3
6253395055478Power N-CT83^2Arc(8)
6329398768374Power N-CT83^2Arc(7)
6406402481270Power N-CT83^2Arc(6)
6484406194166Power N-CT83^2Arc(5)
6563409907062Power N-CT83^2Arc(4)
6643413619958Power N-CT83^2Arc(3)
6724417332854Power N-CT83^2T1T1
6853421017142Power N-CT89^2T12
7209421043506Power N-CT89^2T8
7298421045750Power N-CT89^2T7
7923424758646Power N-CT89^2+2
8181425498866Power N-CT101^2T20
8282425501110Power N-CT101^2T19
9191429214006Power N-CT101^2T10
10000429585286Power N-CT101^2
 Graph: