Table for CAN(5,k,10) 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,10) 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
6100000Derive from strength 6
7120000Ji-Li-Yin
8132547Add a symbol postop NCK
9144071Add a symbol postop NCK
10153884orthogonal array fuse postop NCK
11157819orthogonal array fuse postop NCK
12159639orthogonal array fuse postop NCK
13265415extended OA (Colbourn) special fuse postop NCK
14301504orthogonal array fuse fuse fuse postop NCK
153074594-Restricted SCPHF RE (CL) fuse
163207693-Restricted SCPHF RE (CL) fuse
17322089SCPHF Random Extension (CLS) fuse
254684994-Restricted SCPHF RE (CL) fuse
264818093-Restricted SCPHF RE (CL) fuse
274830192-Restricted SCPHF RE (CL) fuse
28483129SCPHF Random Extension (CLS) fuse
29483149CPHF Random Extension (CLS) fuse
366149094-Restricted SCPHF RE (CL) fuse
426295394-Restricted SCPHF RE (CL) fuse
466428493-Restricted SCPHF RE (CL) fuse
47644169SCPHF Random Extension (CLS) fuse
617759494-Restricted SCPHF RE (CL) fuse
667905794-Restricted SCPHF RE (CL) fuse
708038893-Restricted SCPHF RE (CL) fuse
738050992-Restricted SCPHF RE (CL) fuse
74805209SCPHF Random Extension (CLS) fuse
76805249CPHF Random Extension (CLS) fuse
839223594-Restricted SCPHF RE (CL) fuse
1009369894-Restricted SCPHF RE (CL) fuse
1079516194-Restricted SCPHF RE (CL) fuse
1159649293-Restricted SCPHF RE (CL) fuse
1219661392-Restricted SCPHF RE (CL) fuse
127966299CPHF Random Extension (CLS) fuse
14210833994-Restricted SCPHF RE (CL) fuse
15810980294-Restricted SCPHF RE (CL) fuse
17911126594-Restricted SCPHF RE (CL) fuse
19611259693-Restricted SCPHF RE (CL) fuse
19711271792-Restricted SCPHF RE (CL) fuse
2011127289SCPHF Random Extension (CLS) fuse
2051127349CPHF Random Extension (CLS) fuse
22112444394-Restricted SCPHF RE (CL) fuse
24512590694-Restricted SCPHF RE (CL) fuse
28712736994-Restricted SCPHF RE (CL) fuse
32712870093-Restricted SCPHF RE (CL) fuse
33212882192-Restricted SCPHF RE (CL) fuse
3401288329SCPHF Random Extension (CLS) fuse
3421288399CPHF Random Extension (CLS) fuse
38914054794-Restricted SCPHF RE (CL) fuse
42514201094-Restricted SCPHF RE (CL) fuse
47214347394-Restricted SCPHF RE (CL) fuse
50514480493-Restricted SCPHF RE (CL) fuse
52214492592-Restricted SCPHF RE (CL) fuse
5291449369SCPHF Random Extension (CLS) fuse
5331449449CPHF Random Extension (CLS) fuse
61115665194-Restricted SCPHF RE (CL) fuse
63315811494-Restricted SCPHF RE (CL) fuse
7281610409SCPHF Random Extension (CLS) fuse
7292136639Add 1 factors
7302408439Add 2 factors
7322653981Add 4 factors
7332704182Add 5 factors
7392898509Add 11 factors
7403424739Add 11 factors
7413696539Add 11 factors
7433942081Add 11 factors
7443992282Add 11 factors
7504186609Add 11 factors
7764256179Martirosyan-Colbourn
7814347774perfect hash family3,781,522
7854347994perfect hash family3,792,529T7
7924348104perfect hash family3,792,529
7944348264perfect hash family3,798,533T4
7984348344perfect hash family3,798,533
8504366839Martirosyan-Colbourn
9124381469Martirosyan-Colbourn
9444393349Martirosyan-Colbourn
9884406659Martirosyan-Colbourn
10104418539Martirosyan-Colbourn
10444419749Martirosyan-Colbourn
10584419859Martirosyan-Colbourn
10664419939Martirosyan-Colbourn
11444537009Martirosyan-Colbourn
12224547899Martirosyan-Colbourn
12664562529Martirosyan-Colbourn
14564591789Martirosyan-Colbourn
14585118019Martirosyan-Colbourn
14605389819Martirosyan-Colbourn
14645635361Martirosyan-Colbourn
14765651212Power N-CT41^2T5
16825665842Power N-CT41^2+1
16835732392Power N-CT43^2Arc(4)
17235745702Power N-CT43^2Arc(3)
17645759012Power N-CT43^2T1T1
18065772322Power N-CT43^2T1
18125777602Power N-CT47^2Arc(4)T5
18515778922Power N-CT47^2Arc(3)T5
18915780242Power N-CT47^2Arc(2)T5
19325781562Power N-CT47^2T5T1
19745782882Power N-CT47^2T5
19845790912Power N-CT47^2Arc(5)
20275792232Power N-CT47^2Arc(4)
20715793552Power N-CT47^2Arc(3)
21165794872Power N-CT47^2T1T1
21625796192Power N-CT47^2T1
22095797512Power N-CT47^2
23606178182perfect hash family4,3125,625T153
25256191492perfect hash family4,3125,625T120
26106192702perfect hash family4,3125,625T103
26456192812perfect hash family4,3125,625T96
26656192892perfect hash family4,3125,625T92
30556309962perfect hash family4,3125,625T14
31256324592perfect hash family4,3125,625
37216983532Power N-CT61^2
38067101892Power N-CT67^2Arc(9)T2
39227115202Power N-CT67^2Arc(9)
39817128512Power N-CT67^2Arc(8)
40417141822Power N-CT67^2Arc(7)
41027155132Power N-CT67^2Arc(6)
41647168442Power N-CT67^2Arc(5)
42277181752Power N-CT67^2Arc(4)
42917195062Power N-CT67^2Arc(3)
43567208372Power N-CT67^2T1T1
44537216732Power N-CT73^2T12
44917227732Power N-CT71^2Arc(3)T5
45557228942Power N-CT71^2Arc(2)T5
46207230152Power N-CT71^2T5T1
48187231362Power N-CT73^2T7
48317242252Power N-CT71^2Arc(3)
49007243462Power N-CT71^2T1T1
51107244672Power N-CT73^2T3
53297245882Power N-CT73^2
53307246872Power N-CT73^2+1
53327247232Power N-CT73^2+3
53387949742Power N-CT79^2Trin3,3,6
54117949852Power N-CT79^2Trin3,3,5
55577949892Power N-CT79^2Trin3,3,3
56248066962Power N-CT79^2T5T3
57768067002Power N-CT79^2T3T3
58108182752Power N-CT83^2T13
60598183962Power N-CT83^2T10
61428184072Power N-CT83^2T9
63088184112Power N-CT83^2T7
64768285162Power N-CT101^2Arc(9)T31
67528286372Power N-CT101^2Arc(9)T28
68448286482Power N-CT101^2Arc(9)T27
70288286522Power N-CT101^2Arc(9)T25
70818301002Power N-CT97^2T24
71788301112Power N-CT97^2T23
73728301152Power N-CT97^2T21
73788359672Power N-CT101^2Arc(4)T25
74518374302Power N-CT101^2Arc(3)T25
75258388932Power N-CT101^2Arc(2)T25
76008403562Power N-CT101^2T25T1
76728403632Power N-CT101^2Arc(9)T18
78118418042perfect hash family9,11449,107T34
79188418152perfect hash family9,11449,107T33
81328418192perfect hash family9,11449,107T31
91448418262Power N-CT101^2Arc(9)T2
94128432892Power N-CT97^2+3
94218447522Power N-CT101^2Arc(8)
95158462152Power N-CT101^2Arc(7)
96108476782Power N-CT101^2Arc(6)
97068491412Power N-CT101^2Arc(5)
98038506042Power N-CT101^2Arc(4)
99018520672Power N-CT101^2Arc(3)
100008535302Power N-CT101^2T1T1
 Graph: