Table for CAN(5,k,11) for k up to 10000

Last Updated Wed Jun 6 17:38:18 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;5,k,11) 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
12161051orthogonal array
13306130extended OA (Colbourn)
153074614-Restricted SCPHF RE (CL)
163207713-Restricted SCPHF RE (CL)
173219812-Restricted SCPHF RE (CL)
254685014-Restricted SCPHF RE (CL)
284818113-Restricted SCPHF RE (CL)
29483131SCPHF Random Extension (CLS)
386149114-Restricted SCPHF RE (CL)
426295414-Restricted SCPHF RE (CL)
476428513-Restricted SCPHF RE (CL)
617759514-Restricted SCPHF RE (CL)
697905814-Restricted SCPHF RE (CL)
778038913-Restricted SCPHF RE (CL)
909223614-Restricted SCPHF RE (CL)
1009369914-Restricted SCPHF RE (CL)
1099516214-Restricted SCPHF RE (CL)
1209649313-Restricted SCPHF RE (CL)
1259661412-Restricted SCPHF RE (CL)
127966301CPHF Random Extension (CLS)
14510834014-Restricted SCPHF RE (CL)
16110980314-Restricted SCPHF RE (CL)
18211126614-Restricted SCPHF RE (CL)
19611259713-Restricted SCPHF RE (CL)
20911271812-Restricted SCPHF RE (CL)
22812444414-Restricted SCPHF RE (CL)
24812590714-Restricted SCPHF RE (CL)
28912737014-Restricted SCPHF RE (CL)
32812870113-Restricted SCPHF RE (CL)
33212882212-Restricted SCPHF RE (CL)
3401288331SCPHF Random Extension (CLS)
3421288401CPHF Random Extension (CLS)
38914054814-Restricted SCPHF RE (CL)
42514201114-Restricted SCPHF RE (CL)
47214347414-Restricted SCPHF RE (CL)
50514480513-Restricted SCPHF RE (CL)
52414492612-Restricted SCPHF RE (CL)
5291449371SCPHF Random Extension (CLS)
5331449451CPHF Random Extension (CLS)
61415665214-Restricted SCPHF RE (CL)
68015811514-Restricted SCPHF RE (CL)
73015957814-Restricted SCPHF RE (CL)
77216090913-Restricted SCPHF RE (CL)
7732287901Add 1 factors
7742700511Add 2 factors
7752846921Add 3 factors
7832993331Add 11 factors
7843672141Add 11 factors
7853896051Add 13 factors
7864231161Add 11 factors
7874348000perfect hash family3,792,529T5
7924348110perfect hash family3,792,529
7944348270perfect hash family3,798,533T4
7984348350perfect hash family3,798,533
8104581090perfect hash family3,918,613T108
8294582300perfect hash family3,918,613T89
8344582410perfect hash family3,918,613T84
8384582490perfect hash family3,918,613T80
8434610350perfect hash family3,1017,679T174
8624611560perfect hash family3,1017,679T155
8674611670perfect hash family3,1017,679T150
8714611750perfect hash family3,1017,679T146
8874640820perfect hash family3,1092,729T205
8924640930perfect hash family3,1092,729T200
8964641010perfect hash family3,1092,729T196
9084667440perfect hash family3,1155,771T247
9134667550perfect hash family3,1155,771T242
9174667630perfect hash family3,1155,771T238
9194699560perfect hash family3,919,614
9524728820perfect hash family3,1017,679T65
10184743450perfect hash family3,1018,680
10434772710perfect hash family3,1092,729T49
10934787340perfect hash family3,1093,730
11144813960perfect hash family3,1155,771T41
11564827270perfect hash family3,1156,772
11575506080Add 1 factors
11895519450Power N-CT41^2T12
11905599310Power N-CT43^2Arc(2)T14
12185612620Power N-CT43^2T14T1
13395621970Power N-CT41^2Trin3,3,3
13635625930Power N-CT47^2T18
14445636600Power N-CT41^2T3T3
15585651230Power N-CT41^2T3
16825665860Power N-CT41^2+1
16835732410Power N-CT43^2Arc(4)
17235745720Power N-CT43^2Arc(3)
17865757710Power N-CT47^2T9
19745772340Power N-CT47^2T5
22095785650Power N-CT47^2
23606178190perfect hash family4,3125,625T153
25256191500perfect hash family4,3125,625T120
26206192710perfect hash family4,3125,625T101
26456192820perfect hash family4,3125,625T96
26656192900perfect hash family4,3125,625T92
30706309970perfect hash family4,3125,625T11
31256324600perfect hash family4,3125,625
31496967490Power N-CT67^2T20
37216983550Power N-CT61^2
40877100590Power N-CT67^2T6
44917115220Power N-CT67^2+2
46277195080Power N-CT71^2Trin2,2,2
47617208390Power N-CT71^2T2T2
50377221700Power N-CT73^2T4
53337235010perfect hash family9,5333,77
57797945830Power N-CT79^2Trin2,2,2
59298064300Power N-CT79^2T2T2
61418169460Power N-CT89^2T20
68538182770Power N-CT89^2T12
71208285180Power N-CT101^2Arc(9)T24
74698299810Power N-CT97^2T20
79228301240Power N-CT89^2+1
83168403650Power N-CT101^2Arc(9)T11
83938416850perfect hash family9,11881,109T32
91448418280Power N-CT101^2Arc(9)T2
94128432910Power N-CT97^2+3
94218447540Power N-CT101^2Arc(8)
95158462170Power N-CT101^2Arc(7)
96108476800Power N-CT101^2Arc(6)
97068491430Power N-CT101^2Arc(5)
98038506060Power N-CT101^2Arc(4)
99018520690Power N-CT101^2Arc(3)
100008535320Power N-CT101^2T1T1
 Graph: