Table for CAN(6,k,13) 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,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)
169651421Tri-Restricted SCPHF RE (C)
2014109121Quint-Restricted SCPHF RE (C)
2214451853Quad-Restricted SCPHF RE (C)
2314480401SCPHF Random Extension (CLS)
2918564637Quint-Restricted SCPHF RE (C)
3018935917Quint-Restricted SCPHF RE (C)
3319307197SCPHF Random Extension (CLS)
3519307233CPHF Random Extension (CLS)
4023391433Quint-Restricted SCPHF RE (C)
4923762713Quint-Restricted SCPHF RE (C)
5424133993SCPHF Random Extension (CLS)
5927846949Quint-Restricted SCPHF RE (C)
6528218229Quint-Restricted SCPHF RE (C)
7128589509Quint-Restricted SCPHF RE (C)
8128960789SCPHF Random Extension (CLS)
8228960849CPHF Random Extension (CLS)
12233787585SCPHF Random Extension (CLS)
12333787657CPHF Random Extension (CLS)
20038614381SCPHF Random Extension (CLS)
20238614465CPHF Random Extension (CLS)
25043441177SCPHF Random Extension (CLS)
25165710645Add 1 factors
25282309825Add 2 factors
25392143597Add 3 factors
25496599113Add 4 factors
255101024209Add 13 factors
263101054629Add 13 factors
264123324097Add 13 factors
265139923277Add 13 factors
266150047053Add 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
843288122820Power N-CT31^2Arc(4)
871288494100Power N-CT31^2Arc(3)
900288865380Power N-CT31^2T1T1
930289236660Power N-CT31^2T1
963289607940Power N-CT31^2+2
965289608480perfect hash family15,965,35
1025308915136Power CT32^2+1
1027308915712Power CT32^2+3
1051319311528Power N-CT41^2Trin6,6,6
1081323395656Power N-CT47^2T24
1128323395692Power N-CT41^2Trin1,6,8
1196323395728Power N-CT41^2Trin1,6,6
1225323767008Power N-CT41^2T6T6
1240325994808Power N-CT41^2Arc(6)T6
1270326366088Power N-CT41^2Arc(5)T6
1301326737368Power N-CT41^2Arc(4)T6
1333327108648Power N-CT41^2Arc(3)T6
1363327479892Power N-CT47^2T18
1366327479928Power N-CT41^2Arc(2)T6
1410327851172Power N-CT47^2T17
1551328222452Power N-CT47^2T14
1645328222488Power N-CT47^2T12
1880332306688Power N-CT47^2T7
2211332677968Power N-CT47^2+2
2221336762048Power N-CT53^2Trin4,4,4
2401337133328Power N-CT53^2T4T4
2597337504608Power N-CT53^2T4
2810337875888Power N-CT53^2+1
2846366465372Power N-CT73^2Trin2,19,19
2916366836652Power N-CT73^2T19T19
3142370178328Power N-CT73^2Trin8,8,19
3418370549608Power N-CT73^2Trin2,8,19
3730370920888Power N-CT73^2Trin2,2,19
3871371292168Power N-CT79^2T30
4266371663448Power N-CT79^2T25
5748371664228Power N-CT83^2Arc(13)T2
6243376490244Power N-CT79^2+2
6244376491024Power N-CT79^2+3
6253400624704Power N-CT83^2Arc(8)
6329405451440Power N-CT83^2Arc(7)
6406410278176Power N-CT83^2Arc(6)
6484415104912Power N-CT83^2Arc(5)
6563419931648Power N-CT83^2Arc(4)
6643424758384Power N-CT83^2Arc(3)
6724429585120Power N-CT83^2T1T1
7345433669236perfect hash family13,12769,113T48
8023434040516perfect hash family13,12769,113T42
9153434411796perfect hash family13,12769,113T32
9266434411856perfect hash family13,12769,113T31
10000439238592Power N-CT101^2
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