Table for CAN(6,k,17) 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,17) 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
1824137569orthogonal array
1946771760extended OA (Colbourn)
2047045877orthogonal array fuse fuse
2182492101Add a factor
2396550225perfect hash family4,23,17,c
2496550272perfect hash family4,24,18
36119267988Martirosyan-Tran van Trung
37173586116Add a factor
39217238112perfect hash family9,39,18
40225113449Martirosyan-Tran van Trung
42241375680perfect hash family10,42,18
44265513089perfect hash family11,44,17,c
48265513248perfect hash family11,48,18
50289650641perfect hash family12,50,17,c
54289650816perfect hash family12,54,18
60313788384perfect hash family13,60,18
85362063297perfect hash family15,85,17,c
86362063520perfect hash family15,86,18
289386200849perfect hash family16,289,17,c
290386201088Power 17^2+1
291495780368Add a factor
292607875104Add a factor
294675851904perfect hash family28,294,18
307680445571Power 19^2S3
324703079762Power 19^2T1T1
342725713953Power 19^2T1
361748348144Power 19^2
362752734016Power 19^2+1
513772401681perfect hash family32,513,17,c
514772402176perfect hash family32,514,18
515953829168Add a factor
5161086189857perfect hash family45,516,17,c
5181086190560perfect hash family45,518,18
5191267617552Add a factor
5781288641412Martirosyan-Tran van Trung
5801299020451Martirosyan-Tran van Trung
5821470228403Martirosyan-Tran van Trung
5841616275427Martirosyan-Tran van Trung
5881684252227Martirosyan-Tran van Trung
6121688845894Martirosyan-Tran van Trung
6201716797694Power N31^2T11
6511752243918Power N31^2T10
7131766302042Power N31^2T8
7441766302089Power N31^2T7
9641789019805Power N31^2+3
10281908287792Power 32^2 +4
10442060610445Power N37^2S10
10722114928573Power N37^2S9
11012169246701Power N37^2S8
11312223564829Power N37^2S7
11622277882957Power N37^2S6
11942332201085Power N37^2S5
12272386519213Power N37^2S4
12612440837341Power N37^2S3
12962495155469Power N37^2T1T1
13322549473597Power N37^2T1
13692603791725Power N37^2
13702860603517Add a factor
14253089606673perfect hash family128,1425,17,c
14503089608704perfect hash family128,1450,18
14763257151814Power N41^2T5
14803295207711Power N41^2T4T1
14863297948351Power N41^2S5
15173311469942Power N41^2T4
15233314210582Power N41^2S4
15613330472813Power N41^2S3
16003346735044Power N41^2T1T1
16403362997275Power N41^2T1
16823379259506Power N41^2+1
17283475807505perfect hash family144,1728,17,c
17293475809792perfect hash family144,1729,18
100003507046759Power 31^3T13T13
 Graph: