Table for CAN(6,k,13) 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,13) 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
144826809orthogonal array
159253764extended OA (Colbourn)
1696514213-Restricted SCPHF RE (CL)
20141091215-Restricted SCPHF RE (CL)
22144518534-Restricted SCPHF RE (CL)
2314480401SCPHF Random Extension (CLS)
29185646375-Restricted SCPHF RE (CL)
30189359175-Restricted SCPHF RE (CL)
33192786494-Restricted SCPHF RE (CL)
34193070412-Restricted SCPHF RE (CL)
3519307233CPHF Random Extension (CLS)
41233914335-Restricted SCPHF RE (CL)
49237627135-Restricted SCPHF RE (CL)
51241054454-Restricted SCPHF RE (CL)
52241318093-Restricted SCPHF RE (CL)
53241338372-Restricted SCPHF RE (CL)
5424133993SCPHF Random Extension (CLS)
59278469495-Restricted SCPHF RE (CL)
65282182295-Restricted SCPHF RE (CL)
71285895095-Restricted SCPHF RE (CL)
77289322414-Restricted SCPHF RE (CL)
81289586053-Restricted SCPHF RE (CL)
8228960849CPHF Random Extension (CLS)
91326737455-Restricted SCPHF RE (CL)
102330450255-Restricted SCPHF RE (CL)
111334163055-Restricted SCPHF RE (CL)
121337590374-Restricted SCPHF RE (CL)
124337854013-Restricted SCPHF RE (CL)
20038614381SCPHF Random Extension (CLS)
20238614465CPHF Random Extension (CLS)
25043441177SCPHF Random Extension (CLS)
25165686309Add 1 factors
25282285489Add 2 factors
25392119261Add 3 factors
25496574777Add 4 factors
25697793605Add 13 factors
257100999873Add 13 factors
263101030293Add 13 factors
264123275425Add 13 factors
265139874605Add 13 factors
266149998381Add 13 factors
315154457520perfect hash family4,315,200
317154457856perfect hash family4,317,202
346168937908perfect hash family4,396,250T50
348168937992perfect hash family4,396,250T48
396173764704perfect hash family4,396,250
444193071900perfect hash family5,444,200
446193072236perfect hash family5,450,202T2
450193072320perfect hash family5,450,202
478212379084perfect hash family5,570,246T46
482212379168perfect hash family5,570,246T44
574217205880perfect hash family5,574,250
575247360212Add 1 factors
642255820260perfect hash family6,730,244T44
646255820344perfect hash family6,730,244T42
736260647056perfect hash family6,736,250
841278469540Power N-CT29^2
842284038740Power N-CT29^2+1
843287808792Power N-CT31^2Arc(4)
870288122976Power N-CT31^2T2T1
871288151524Power N-CT31^2Arc(3)
899288465708Power N-CT31^2T2
900288494256Power N-CT31^2T1T1
930288836988Power N-CT31^2T1
963289179720Power N-CT31^2+2
964289605600Power N-CT31^2+3
965289608480perfect hash family15,965,35
1025308458368Power CT32^2+1
1026308912640Power CT32^2+2
1027308915712Power CT32^2+3
1051315227448Power N-CT41^2Trin6,6,6
1089319254480Power N-CT41^2T8T8
1122319282872Power N-CT41^2T8T7
1155319283064Power N-CT41^2T8T6
1156319311264Power N-CT41^2T7T7
1190319311456Power N-CT41^2T7T6
1225319311648Power N-CT41^2T6T6
1230323024532Power N-CT41^2T11
1353323367264Power N-CT41^2T8
1394323395656Power N-CT41^2T7
1435323395848Power N-CT41^2T6
1681327480048Power N-CT41^2
1927332306688Power N-CT47^2T6
2211332677968Power N-CT47^2+2
2221336760332Power N-CT53^2Trin4,4,4
2311337103064Power N-CT53^2Trin2,4,4
2356337129428Power N-CT53^2Trin1,4,4
2401337131456Power N-CT53^2T4T4
2405337445796Power N-CT53^2Trin2,2,4
2452337472160Power N-CT53^2Trin1,2,4
2499337474188Power N-CT53^2T4T2
2500337498524Power N-CT53^2Arc(2)T4
2548337500552Power N-CT53^2T4T1
2597337502580Power N-CT53^2T4
2601337816920Power N-CT53^2T2T2
2602337841256Power N-CT53^2Arc(2)T2
2652337843284Power N-CT53^2T2T1
2703337845312Power N-CT53^2T2
2704337869648Power N-CT53^2T1T1
2756337871676Power N-CT53^2T1
2809337873704Power N-CT53^2
2810337875888Power N-CT53^2+1
2846366179892Power N-CT73^2Trin2,19,19
2862366522468Power N-CT73^2T20T19
2916366522624Power N-CT73^2T19T19
2971369864300Power N-CT73^2Trin8,8,22
3028369890664Power N-CT73^2Trin8,8,21
3085369892692Power N-CT73^2Trin8,8,20
3142369892848Power N-CT73^2Trin8,8,19
3229370235580Power N-CT73^2Trin2,8,22
3292370261944Power N-CT73^2Trin2,8,21
3355370263972Power N-CT73^2Trin2,8,20
3418370264128Power N-CT73^2Trin2,8,19
3445370606704Power N-CT73^2T20T8
3523370606860Power N-CT73^2Trin2,2,22
3592370633224Power N-CT73^2Trin2,2,21
3661370635252Power N-CT73^2Trin2,2,20
3730370635408Power N-CT73^2Trin2,2,19
3763370977984Power N-CT73^2T20T2
3834370978140Power N-CT73^2T19T2
3871371265960Power N-CT79^2T30
3942371320872Power N-CT73^2T19
3979371584356Power N-CT79^2Trin2,2,26
4054371584512Power N-CT79^2Trin2,2,25
4081371610720Power N-CT79^2T26T2
4158371610876Power N-CT79^2T25T2
4187371637084Power N-CT79^2T26
4266371637240Power N-CT79^2T25
5748372775884Power N-CT83^2Arc(13)T2
5779376382760Power N-CT79^2Trin2,2,2
5929376409124Power N-CT79^2T2T2
6083376435488Power N-CT79^2T2
6243376461852Power N-CT79^2+2
6244376491024Power N-CT79^2+3
6253395055504Power N-CT83^2Arc(8)
6329398768400Power N-CT83^2Arc(7)
6406402481296Power N-CT83^2Arc(6)
6484406194192Power N-CT83^2Arc(5)
6563409907088Power N-CT83^2Arc(4)
6643413619984Power N-CT83^2Arc(3)
6724417332880Power N-CT83^2T1T1
6853421017168Power N-CT89^2T12
7209421043532Power N-CT89^2T8
7298421045776Power N-CT89^2T7
7923424758672Power N-CT89^2+2
8181425498892Power N-CT101^2T20
8282425501136Power N-CT101^2T19
9191429214032Power N-CT101^2T10
10000429585312Power N-CT101^2
 Graph: