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

Last Updated Sat Jul 28 12:53:06 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)
264685014-Restricted SCPHF RE (CL)
284818113-Restricted SCPHF RE (CL)
29483131SCPHF Random Extension (CLS)
386149114,4-Restricted SCPHF RE (CL)
396282214,3-restricted SCPHF RE (CL)
426295414-Restricted SCPHF RE (CL)
446415313,3-Restricted SCPHF RE (CL)
466427413,2-restricted SCPHF RE (CL)
476428513-Restricted SCPHF RE (CL)
617759514,4-Restricted SCPHF RE (CL)
697905814-Restricted SCPHF RE (CL)
778038913-Restricted SCPHF RE (CL)
798051012-Restricted SCPHF RE (CL)
909223614,4,4-Restricted SCPHF RE (CL)
1009369914,4-Restricted SCPHF RE (CL)
1099516214-Restricted SCPHF RE (CL)
1209649313-Restricted SCPHF RE (CL)
1259661412-Restricted SCPHF RE (CL)
127966301CPHF Random Extension (CLS)
14710834014,4,4-Restricted SCPHF RE (CL)
16110980314,4-Restricted SCPHF RE (CL)
18211126614-Restricted SCPHF RE (CL)
19611259713-Restricted SCPHF RE (CL)
20911271812-Restricted SCPHF RE (CL)
22812444414,4,4-Restricted SCPHF RE (CL)
24812590714,4-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)
38914054814,4,4-Restricted SCPHF RE (CL)
42514201114,4-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)
61415665214,4,4-Restricted SCPHF RE (CL)
68015811514,4-Restricted SCPHF RE (CL)
73015957814-Restricted SCPHF RE (CL)
82716090913-Restricted SCPHF RE (CL)
8282287901Add 1 factors
8292700511Add 2 factors
8302846921Add 3 factors
8382993331Add 11 factors
8393672141Add 11 factors
8403896051Add 13 factors
8414231161Add 11 factors
8494377571Add 11 factors
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
9174666230perfect hash family3,1239,827T322
9364667440perfect hash family3,1239,827T303
9414667550perfect hash family3,1239,827T298
9454667630perfect hash family3,1239,827T294
9524728820perfect hash family3,1017,679T65
10184743450perfect hash family3,1018,680
10434772710perfect hash family3,1092,729T49
10934787340perfect hash family3,1093,730
11424813960perfect hash family3,1239,827T97
12394827270perfect hash family3,1239,827
12405506080Add 1 factors
12475615370Power N-CT43^2T14
13395621970Power N-CT41^2Trin3,3,3
13635625930Power N-CT47^2T18
13745635280Power N-CT41^2Trin2,3,3
14445636600Power N-CT41^2T3T3
14825649910Power N-CT41^2T3T2
15585651230Power N-CT41^2T3
15995664540Power N-CT41^2T2
16825665860Power N-CT41^2+1
16835725810Power N-CT43^2Arc(4)
17235737800Power N-CT43^2Arc(3)
17645749790Power N-CT43^2T1T1
17865757710Power N-CT47^2T9
18065761780Power N-CT43^2T1
18095770910Power N-CT47^2Trin1,3,5
18485771020Power N-CT47^2T5T3
18515772010Power N-CT47^2Arc(3)T5
18915772120Power N-CT47^2Arc(2)T5
19325772230Power N-CT47^2T5T1
19745772340Power N-CT47^2T5
19815784110Power N-CT47^2Arc(2)T3
20245784220Power N-CT47^2T3T1
20685784330Power N-CT47^2T3
20715785320Power N-CT47^2Arc(3)
21165785430Power N-CT47^2T1T1
21625785540Power N-CT47^2T1
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
48197216750Power N-CT79^2T18
50377221700Power N-CT73^2T4
51797228960Power N-CT79^2Trin2,2,10
53137230170Power N-CT79^2T10T2
54517231380Power N-CT79^2T10
57797242270Power N-CT79^2Trin2,2,2
59297243480Power N-CT79^2T2T2
60837244690Power N-CT79^2T2
62417245900Power N-CT79^2
68538182770Power N-CT89^2T12
70318183980Power N-CT89^2T10
71208285180Power N-CT101^2Arc(9)T24
73048286390Power N-CT101^2Arc(9)T22
74698299810Power N-CT97^2T20
76638301020Power N-CT97^2T18
79228301240Power N-CT89^2+1
83168403650Power N-CT101^2Arc(9)T11
83938416850perfect hash family9,11881,109T32
86118418060perfect hash family9,11881,109T30
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: