Table for CAN(6,k,19) for k up to 10000

Last Updated Tue Jan 31 05:20:10 MST 2012

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;6,k,19) 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
2047045881orthogonal array
2191485342extended OA (Colbourn)
22136055124Add a factor
24148035881orthogonal array fuse fuse fuse fuse
25188183467perfect hash family4,25,19,c
27188183520perfect hash family4,27,20
38225325009double OA (Colbourn-Zhou)
40227794249double OA (Colbourn-Zhou)
41332613487Add a factor
42423412777perfect hash family9,42,19,c
45423412920perfect hash family9,45,20
47470458639perfect hash family10,47,19,c
51470458800perfect hash family10,51,20
53517504501perfect hash family11,53,19,c
60517504680perfect hash family11,60,20
64564550560perfect hash family12,64,20
65658642320perfect hash family14,65,20
95705687949perfect hash family15,95,19,c
96705688200perfect hash family15,96,20
361752733811perfect hash family16,361,19,c
362752734080Power CT19^2+1
363968422194Add a factor
3641219667364Add a factor
3661317284155perfect hash family28,366,19,c
3681317284640perfect hash family28,368,20
5151505467603perfect hash family32,515,19,c
5161505468160perfect hash family32,516,20
5171856964474Add a factor
5192070018720perfect hash family44,519,20
5202117063809perfect hash family45,520,19,c
5222117064600perfect hash family45,522,20
5292368573871perfect hash family16,529,23,c fuse fuse fuse fuse
5302368574080Power CT23^2+1
7222479370278Martirosyan-Tran van Trung
7242625549555Martirosyan-Tran van Trung
7262963465049Martirosyan-Tran van Trung
7293010936304Power CT27^2
7483149508690Power N-CT41^2T16S13
8083149508743Power N-CT41^2T14S13
11343186650232Power N-CT41^2T3S13
11983189119472Power N-CT41^2Arc(14)
12263293938710Power N-CT41^2Arc(13)
13703379875120Power N-CT37^2+1
13723416913720Power N-CT37^2+3
13813818034900Power N-CT41^2Arc(8)
14153922854138Power N-CT41^2Arc(7)
14504027673376Power N-CT41^2Arc(6)
14864132492614Power N-CT41^2Arc(5)
15234237311852Power N-CT41^2Arc(4)
15614342131090Power N-CT41^2Arc(3)
16004446950328Power N-CT41^2T1T1
16404551769566Power N-CT41^2T1
16814656588804Power N-CT41^2
16825163400314Add a factor
16835670211824Add a factor
17205732162195Power N-CT43^2T3
17225836981290Power N-CT43^2T2T1
17635836981433Power N-CT43^2T2
17645927780580Power N-CT43^2T1T1
18065927780723Power N-CT43^2T1
18515927780866Power N-CT43^2+2
18806343756542Power N-CT47^2T7
19396445283775Power N-CT47^2Trin2,2,2
80006450237864Power CT31^3T11T11T11
84006494677325Power CT31^3T11T11T10
88206539116786Power CT31^3T11T10T10
96006551227864Power CT31^3T11T11T7
100006591375450Power CT31^3T11T11T6
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