Table for CAN(6,k,17) for k up to 10000

Last Updated Fri Sep 20 11:45:18 MST 2013

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).

Change t: - Change v: - + or go to Global Menu.
1824137569orthogonal array
1946771760extended OA (Colbourn)
2047045877orthogonal array fuse fuse
2182492101Add 1 factors
2396550225perfect hash family4,23,17,c
2496550272perfect hash family4,24,18
34115008417double OA (Colbourn-Zhou)
36116423361double OA (Colbourn-Zhou)
37183157201Add 1 factors
39217238112perfect hash family9,39,18
40224551414Martirosyan-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 CT17^2+1
291495702032Add 1 factors
292541132832Add 2 factors
293585231920Add 3 factors
294607949632Add 4 factors
306630667105Add 17 factors
307630667344Add 17 factors
324703079762Power CT19^2T1T1
342725713953Power CT19^2T1
361748348144Power CT19^2
362752734016Power CT19^2+1
513772401681perfect hash family32,513,17,c
514772402176perfect hash family32,514,18
515947300624Add 1 factors
5161034236448Add 2 factors
5181086190560perfect hash family45,518,18
5231136898001Add 17 factors
5301137133825Add 17 factors
5311137134320Add 17 factors
5781184314980Martirosyan-Tran van Trung
5801210258403Martirosyan-Tran van Trung
5821362517747Martirosyan-Tran van Trung
5841449453571Martirosyan-Tran van Trung
5861504870195Martirosyan-Tran van Trung
5881527587907Martirosyan-Tran van Trung
6121550305380Martirosyan-Tran van Trung
6141584954101Martirosyan-Tran van Trung
6201657163700Power N-CT31^2T11
6511692609924Power N-CT31^2T10
7131706668048Power N-CT31^2T8
7441706668095Power N-CT31^2T7
9641725126240Power N-CT31^2+3
10261840134656Power CT32^2+2
10281862773760Power CT32^2 +4
10442080019600Power N-CT37^2Arc(10)
10722146753440Power N-CT37^2Arc(9)
11012213487280Power N-CT37^2Arc(8)
11312280221120Power N-CT37^2Arc(7)
11622346954960Power N-CT37^2Arc(6)
11942413688800Power N-CT37^2Arc(5)
12272480422640Power N-CT37^2Arc(4)
12612547156480Power N-CT37^2Arc(3)
12962613890320Power N-CT37^2T1T1
13322680624160Power N-CT37^2T1
13692747358000Power N-CT37^2
13702985142848Add 1 factors
14253089606673perfect hash family128,1425,17,c
14503089608704perfect hash family128,1450,18
14763254307187Power N-CT41^2T5
58323292648352Power CT31^3T13T13T13
61563315282543Power CT31^3T13T13T12
64803315556660Power CT31^3T13T13T11
64983337916734Power CT31^3T13T12T12
68403338190851Power CT31^3T13T12T11
72003338464968Power CT31^3T13T11T11
72203360825042Power CT31^3T12T12T11
76003361099159Power CT31^3T12T11T11
80003361373276Power CT31^3T11T11T11
100003383519200Power CT31^3T13T13