Table for CAN(6,k,13) for k up to 10000

Last Updated Tue Nov 21 02:19:04 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,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)
31192786494-Restricted SCPHF RE (CL)
32193050133-Restricted SCPHF RE (CL)
33193070412-Restricted SCPHF RE (CL)
3519307233CPHF Random Extension (CLS)
41233914335-Restricted SCPHF RE (CL)
49237627135-Restricted SCPHF RE (CL)
50241318093-Restricted SCPHF RE (CL)
51241338372-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
255100999873Add 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
961289179720Power N-CT31^2
962289575180Power N-CT31^2+1
963289605600Power N-CT31^2+2
965289608480perfect hash family15,965,35
992308853828Power CT32^2T1
1024308880192Power CT32^2
1025308912640Power CT32^2+1
1027308915712Power CT32^2+3
1051315227448Power N-CT41^2Trin6,6,6
1085319283064Power N-CT41^2T10T6
1120319309428Power N-CT41^2T9T6
1155319311456Power N-CT41^2T8T6
1225319311648Power N-CT41^2T6T6
1230323024532Power N-CT41^2T11
1271323367264Power N-CT41^2T10
1312323393628Power N-CT41^2T9
1353323395656Power N-CT41^2T8
1435323395848Power N-CT41^2T6
1681327480048Power N-CT41^2
1927332306688Power N-CT47^2T6
2211332677968Power N-CT47^2+2
2221336762048Power N-CT53^2Trin4,4,4
2266337131144Power N-CT53^2Trin3,4,4
2311337133172Power N-CT53^2Trin2,4,4
2401337133328Power N-CT53^2T4T4
2450337502424Power N-CT53^2T4T3
2499337504452Power N-CT53^2T4T2
2597337504608Power N-CT53^2T4
2650337873704Power N-CT53^2T3
2703337875732Power N-CT53^2T2
2810337875888Power N-CT53^2+1
2846366179892Power N-CT73^2Trin2,19,19
2916366522624Power N-CT73^2T19T19
2971369892692Power N-CT73^2Trin8,8,22
3142369892848Power N-CT73^2Trin8,8,19
3186370235580Power N-CT73^2T19T14
3229370263972Power N-CT73^2Trin2,8,22
3418370264128Power N-CT73^2Trin2,8,19
3510370606860Power N-CT73^2T19T8
3523370635252Power N-CT73^2Trin2,2,22
3730370635408Power N-CT73^2Trin2,2,19
3834370978140Power N-CT73^2T19T2
3871371265960Power N-CT79^2T30
3942371320872Power N-CT73^2T19
4054371584512Power N-CT79^2Trin2,2,25
4158371610876Power N-CT79^2T25T2
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
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