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

Last Updated Wed Feb 21 10:43:32 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)
17322091SCPHF Random Extension (CLS)
254685014-Restricted SCPHF RE (CL)
264818113-Restricted SCPHF RE (CL)
274830212-Restricted SCPHF RE (CL)
28483131SCPHF Random Extension (CLS)
29483151CPHF Random Extension (CLS)
366149114-Restricted SCPHF RE (CL)
426295414-Restricted SCPHF RE (CL)
466428513-Restricted SCPHF RE (CL)
47644171SCPHF Random Extension (CLS)
617759514-Restricted SCPHF RE (CL)
667905814-Restricted SCPHF RE (CL)
708038913-Restricted SCPHF RE (CL)
738051012-Restricted SCPHF RE (CL)
74805211SCPHF Random Extension (CLS)
76805251CPHF Random Extension (CLS)
839223614-Restricted SCPHF RE (CL)
1009369914-Restricted SCPHF RE (CL)
1079516214-Restricted SCPHF RE (CL)
1159649313-Restricted SCPHF RE (CL)
1219661412-Restricted SCPHF RE (CL)
127966301CPHF Random Extension (CLS)
14210834014-Restricted SCPHF RE (CL)
15810980314-Restricted SCPHF RE (CL)
17911126614-Restricted SCPHF RE (CL)
19611259713-Restricted SCPHF RE (CL)
19711271812-Restricted SCPHF RE (CL)
2011127291SCPHF Random Extension (CLS)
2051127351CPHF Random Extension (CLS)
22112444414-Restricted SCPHF RE (CL)
24512590714-Restricted SCPHF RE (CL)
28712737014-Restricted SCPHF RE (CL)
32712870113-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)
52214492612-Restricted SCPHF RE (CL)
5291449371SCPHF Random Extension (CLS)
5331449451CPHF Random Extension (CLS)
61115665214-Restricted SCPHF RE (CL)
63315811514-Restricted SCPHF RE (CL)
7281610411SCPHF Random Extension (CLS)
7292289221Add 1 factors
7302701831Add 2 factors
7312848241Add 3 factors
7392994651Add 11 factors
7403673461Add 11 factors
7413897371Add 13 factors
7424232481Add 11 factors
7564344150perfect hash family3,756,505
7644346570perfect hash family3,780,521T16
7684346790perfect hash family3,792,529T24
7704346950perfect hash family3,798,533T28
7814347780perfect hash family3,781,522
7854348000perfect hash family3,792,529T7
7924348110perfect hash family3,792,529
7944348270perfect hash family3,798,533T4
7984348350perfect hash family3,798,533
8094581090perfect hash family3,915,611T106
8264582300perfect hash family3,915,611T89
8334582410perfect hash family3,915,611T82
8374582490perfect hash family3,915,611T78
8444611670perfect hash family3,948,633T104
8484611750perfect hash family3,948,633T100
8674668870perfect hash family3,1089,727T222
8844670080perfect hash family3,1089,727T205
8914670190perfect hash family3,1089,727T198
8954670270perfect hash family3,1089,727T194
9154699560perfect hash family3,915,611
9264728820perfect hash family3,948,633T22
9484743450perfect hash family3,948,633
9734787340perfect hash family3,1089,727T116
9954801970perfect hash family3,1089,727T94
10904831230perfect hash family3,1090,728
10915510040Add 1 factors
11075519340Power N-CT41^2T14
11485519450Power N-CT41^2T13
11895519470Power N-CT41^2T12
11905599330Power N-CT43^2Arc(2)T14
12185612640Power N-CT43^2T14T1
12475625950Power N-CT43^2T14
12535631230Power N-CT47^2Arc(4)T18
12795632550Power N-CT47^2Arc(3)T18
13065633870Power N-CT47^2Arc(2)T18
13345635190Power N-CT47^2T18T1
13635636510Power N-CT47^2T18
14765651230Power N-CT41^2T5
16825665860Power N-CT41^2+1
16835732410Power N-CT43^2Arc(4)
17235745720Power N-CT43^2Arc(3)
17645759030Power N-CT43^2T1T1
18065772340Power N-CT43^2T1
18125777620Power N-CT47^2Arc(4)T5
18515778940Power N-CT47^2Arc(3)T5
18915780260Power N-CT47^2Arc(2)T5
19325781580Power N-CT47^2T5T1
19745782900Power N-CT47^2T5
19845790930Power N-CT47^2Arc(5)
20275792250Power N-CT47^2Arc(4)
20715793570Power N-CT47^2Arc(3)
21165794890Power N-CT47^2T1T1
21625796210Power N-CT47^2T1
22095797530Power N-CT47^2
23606178190perfect hash family4,3125,625T153
25256191500perfect hash family4,3125,625T120
26106192710perfect hash family4,3125,625T103
26456192820perfect hash family4,3125,625T96
26656192900perfect hash family4,3125,625T92
30556309970perfect hash family4,3125,625T14
31256324600perfect hash family4,3125,625
37216983550Power N-CT61^2
38067101910Power N-CT67^2Arc(9)T2
39227115220Power N-CT67^2Arc(9)
39817128530Power N-CT67^2Arc(8)
40417141840Power N-CT67^2Arc(7)
41027155150Power N-CT67^2Arc(6)
41647168460Power N-CT67^2Arc(5)
42277181770Power N-CT67^2Arc(4)
42917195080Power N-CT67^2Arc(3)
43567208390Power N-CT67^2T1T1
44537216750Power N-CT73^2T12
44917227750Power N-CT71^2Arc(3)T5
45557228960Power N-CT71^2Arc(2)T5
46207230170Power N-CT71^2T5T1
48187231380Power N-CT73^2T7
48317242270Power N-CT71^2Arc(3)
49007243480Power N-CT71^2T1T1
51107244690Power N-CT73^2T3
53297245900Power N-CT73^2
53307246890Power N-CT73^2+1
53327247250Power N-CT73^2+3
53387949760Power N-CT79^2Trin3,3,6
54117949870Power N-CT79^2Trin3,3,5
55577949910Power N-CT79^2Trin3,3,3
56248066980Power N-CT79^2T5T3
57768067020Power N-CT79^2T3T3
58108182770Power N-CT83^2T13
60598183980Power N-CT83^2T10
61428184090Power N-CT83^2T9
63088184130Power N-CT83^2T7
64768285180Power N-CT101^2Arc(9)T31
67528286390Power N-CT101^2Arc(9)T28
68448286500Power N-CT101^2Arc(9)T27
70288286540Power N-CT101^2Arc(9)T25
70818301020Power N-CT97^2T24
71788301130Power N-CT97^2T23
73728301170Power N-CT97^2T21
73788359690Power N-CT101^2Arc(4)T25
74518374320Power N-CT101^2Arc(3)T25
75258388950Power N-CT101^2Arc(2)T25
76008403580Power N-CT101^2T25T1
76728403650Power N-CT101^2Arc(9)T18
78118418060perfect hash family9,11449,107T34
79188418170perfect hash family9,11449,107T33
81328418210perfect hash family9,11449,107T31
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: