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

Last Updated Fri Sep 15 07:41:46 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;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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12161051orthogonal array
13306130extended OA (Colbourn)
15307461Quad-Restricted SCPHF RE (C)
16320771Tri-Restricted SCPHF RE (C)
17322091SCPHF Random Extension (CLS)
25468501Quad-Restricted SCPHF RE (C)
26481811Tri-Restricted SCPHF RE (C)
27483021Path-Restricted SCPHF RE (C)
28483131SCPHF Random Extension (CLS)
29483151CPHF Random Extension (CLS)
36614911Quad-Restricted SCPHF RE (C)
42629541Quad-Restricted SCPHF RE (C)
46642851Tri-Restricted SCPHF RE (C)
47644171SCPHF Random Extension (CLS)
61775951Quad-Restricted SCPHF RE (C)
66790581Quad-Restricted SCPHF RE (C)
74805211SCPHF Random Extension (CLS)
76805251CPHF Random Extension (CLS)
82922361Quad-Restricted SCPHF RE (C)
100936991Quad-Restricted SCPHF RE (C)
107951621Quad-Restricted SCPHF RE (C)
120966251SCPHF Random Extension (CLS)
127966301CPHF Random Extension (CLS)
1421083401Quad-Restricted SCPHF RE (C)
1581098031Quad-Restricted SCPHF RE (C)
1791112661Quad-Restricted SCPHF RE (C)
2011127291SCPHF Random Extension (CLS)
2051127351CPHF Random Extension (CLS)
2201244441Quad-Restricted SCPHF RE (C)
2441259071Quad-Restricted SCPHF RE (C)
2841273701Quad-Restricted SCPHF RE (C)
3401288331SCPHF Random Extension (CLS)
3421288401CPHF Random Extension (CLS)
5291449371SCPHF Random Extension (CLS)
5331449451CPHF Random Extension (CLS)
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
7924348110perfect hash family3,792,529
7944348270perfect hash family3,798,533T4
7984348350perfect hash family3,798,533
8914670190perfect hash family3,1089,727T198
8954670270perfect hash family3,1089,727T194
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
26456280600perfect hash family4,3125,625T96
26656280680perfect hash family4,3125,625T92
31256441640perfect hash family4,3125,625
37216983550Power N-CT61^2
38067100590Power N-CT67^2Arc(9)T2
39227115220Power N-CT67^2Arc(9)
39817129850Power N-CT67^2Arc(8)
40417144480Power N-CT67^2Arc(7)
41027159110Power N-CT67^2Arc(6)
41647173740Power N-CT67^2Arc(5)
42277188370Power N-CT67^2Arc(4)
42917203000Power N-CT67^2Arc(3)
44537217630Power N-CT73^2T12
48187232260Power N-CT73^2T7
53307246890Power N-CT73^2+1
53327247250Power N-CT73^2+3
54117949870Power N-CT79^2Trin3,3,5
55577949910Power N-CT79^2Trin3,3,3
56248066980Power N-CT79^2T5T3
57768067020Power N-CT79^2T3T3
58468184090Power N-CT79^2T5
60048184130Power N-CT79^2T3
60108242650Power N-CT83^2Arc(4)T7
60838257280Power N-CT83^2Arc(3)T7
61088271870Power N-CT101^2Arc(9)T35
61578271910Power N-CT83^2Arc(2)T7
68448286500Power N-CT101^2Arc(9)T27
70288286540Power N-CT101^2Arc(9)T25
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
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