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

Last Updated Sun Nov 22 06:45:17 MST 2009

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
40232753306Martirosyan-Tran van Trung
41337572544Add 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 19^2+1
363968545314Add a factor
3641193245812Add a factor
3661317284155perfect hash family28,366,19,c
3681317284640perfect hash family28,368,20
5151505467603perfect hash family32,515,19,c
5161505468160perfect hash family32,516,20
5171861532226Add 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 23^2+1
7222479876438Martirosyan-Tran van Trung
7242516421459Martirosyan-Tran van Trung
7262854460073Martirosyan-Tran van Trung
7293010936304Power 27^2
7483213976431Power N41^2T16S13
8083213976484Power N41^2T14S13
11943258546270Power N41^2S14
12233363365508Power N41^2S13
12533468184746Power N41^2S12
13723491299575Power N37^2+3
13813887461698Power N41^2S8
14153992280936Power N41^2S7
14504097100174Power N41^2S6
14864201919412Power N41^2S5
15234306738650Power N41^2S4
15614411557888Power N41^2S3
16004516377126Power N41^2T1T1
16404621196364Power N41^2T1
16814726015602Power N41^2
16825233073352Add a factor
17205737121252Power N43^2T3
17225841940347Power N43^2T2T1
17635841940490Power N43^2T2
17645927780580Power N43^2T1T1
18065927780723Power N43^2T1
18515927780866Power N43^2+2
18806348715599Power N47^2T7
19276453534837Power N47^2T6
20256492329494Power N47^2T2T2
21156539375213Power N47^2T2
22096586420932Power N47^2
22126586423186Power N47^2+3
24156774604147perfect hash family144,2415,19,c
24166774606720perfect hash family144,2416,20
100006843937605Power 31^3T11T11
 Graph: