Table for CAN(5,k,10) 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,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
173219792-Restricted SCPHF RE (CL) fuse
254684994-Restricted SCPHF RE (CL) fuse
284818093-Restricted SCPHF RE (CL) fuse
29483129SCPHF Random Extension (CLS) fuse
386149094-Restricted SCPHF RE (CL) fuse
426295394-Restricted SCPHF RE (CL) fuse
476428493-Restricted SCPHF RE (CL) fuse
617759494-Restricted SCPHF RE (CL) fuse
697905794-Restricted SCPHF RE (CL) fuse
778038893-Restricted SCPHF RE (CL) fuse
909223594-Restricted SCPHF RE (CL) fuse
1009369894-Restricted SCPHF RE (CL) fuse
1099516194-Restricted SCPHF RE (CL) fuse
1209649293-Restricted SCPHF RE (CL) fuse
1259661392-Restricted SCPHF RE (CL) fuse
127966299CPHF Random Extension (CLS) fuse
14510833994-Restricted SCPHF RE (CL) fuse
16110980294-Restricted SCPHF RE (CL) fuse
18211126594-Restricted SCPHF RE (CL) fuse
19611259693-Restricted SCPHF RE (CL) fuse
20911271792-Restricted SCPHF RE (CL) fuse
22812444394-Restricted SCPHF RE (CL) fuse
24812590694-Restricted SCPHF RE (CL) fuse
28912736994-Restricted SCPHF RE (CL) fuse
32812870093-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
52414492592-Restricted SCPHF RE (CL) fuse
5291449369SCPHF Random Extension (CLS) fuse
5331449449CPHF Random Extension (CLS) fuse
61415665194-Restricted SCPHF RE (CL) fuse
68015811494-Restricted SCPHF RE (CL) fuse
73015957794-Restricted SCPHF RE (CL) fuse
77216090893-Restricted SCPHF RE (CL) fuse
7732135319Add 1 factors
7742407119Add 2 factors
7762652661Add 4 factors
7772702862Add 5 factors
7832897189Add 11 factors
7843423419Add 11 factors
7853695219Add 11 factors
7873940761Add 11 factors
7883990962Add 11 factors
7944185289Add 11 factors
7984348344perfect hash family3,798,533
8504366839Martirosyan-Colbourn
9124381469Martirosyan-Colbourn
9444393349Martirosyan-Colbourn
9884406659Martirosyan-Colbourn
10104418539Martirosyan-Colbourn
10484419749Martirosyan-Colbourn
10584419859Martirosyan-Colbourn
10664419939Martirosyan-Colbourn
11444537009Martirosyan-Colbourn
12284547899Martirosyan-Colbourn
13604562529Martirosyan-Colbourn
14604577159Martirosyan-Colbourn
14684590469Martirosyan-Colbourn
14704591459Martirosyan-Colbourn
14904591999Martirosyan-Colbourn
15444687489Martirosyan-Colbourn
15465213719Martirosyan-Colbourn
15485485519Martirosyan-Colbourn
15585651212Power N-CT41^2T3
16825665842Power N-CT41^2+1
16835732392Power N-CT43^2Arc(4)
17235745702Power N-CT43^2Arc(3)
17865757692Power N-CT47^2T9
19745772322Power N-CT47^2T5
22095785632Power N-CT47^2
23606178182perfect hash family4,3125,625T153
25256191492perfect hash family4,3125,625T120
26206192702perfect hash family4,3125,625T101
26456192812perfect hash family4,3125,625T96
26656192892perfect hash family4,3125,625T92
30706309962perfect hash family4,3125,625T11
31256324592perfect hash family4,3125,625
31496967472Power N-CT67^2T20
37216983532Power N-CT61^2
40877100572Power N-CT67^2T6
44917115202Power N-CT67^2+2
46277195062Power N-CT71^2Trin2,2,2
47617208372Power N-CT71^2T2T2
50377221682Power N-CT73^2T4
53337234992perfect hash family9,5333,77
57797945812Power N-CT79^2Trin2,2,2
59298064282Power N-CT79^2T2T2
61418169442Power N-CT89^2T20
68538182752Power N-CT89^2T12
71208285162Power N-CT101^2Arc(9)T24
74698299792Power N-CT97^2T20
79228301222Power N-CT89^2+1
83168403632Power N-CT101^2Arc(9)T11
83938416832perfect hash family9,11881,109T32
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: