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

Last Updated Fri Mar 27 17:29:25 MST 2015

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
2177931958extended OA (Colbourn) special fuse
2396550225perfect hash family4,23,17,c
2496550272perfect hash family4,24,18
34115008417double OA (Colbourn-Zhou)
36116423361double OA (Colbourn-Zhou)
37181488776Martirosyan-TVT variant
39217238112perfect hash family9,39,18
40224469934Martirosyan-TVT
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-TVT
5791197288083Martirosyan-TVT variant
5801210258403Martirosyan-TVT
5821362517747Martirosyan-TVT
5841449453571Martirosyan-TVT
5861504870195Martirosyan-TVT
5881527587907Martirosyan-TVT
6121550305380Martirosyan-TVT
6131567629860Martirosyan-TVT variant
6141584954101Martirosyan-TVT
6201657163700Power N-CT31^2T11
6511688049781Power N-CT31^2T10
7131706668048Power N-CT31^2T8
7441706668095Power N-CT31^2T7
9641725126240Power N-CT31^2+3
10261840134656Power CT32^2+2
10281862773760Power CT32^2 +4
10442071677475Power N-CT37^2Arc(10)
10722136742890Power N-CT37^2Arc(9)
11012201808305Power N-CT37^2Arc(8)
11312266873720Power N-CT37^2Arc(7)
11622331939135Power N-CT37^2Arc(6)
11942397004550Power N-CT37^2Arc(5)
12272462069965Power N-CT37^2Arc(4)
12612527135380Power N-CT37^2Arc(3)
12962592200795Power N-CT37^2T1T1
13322657266210Power N-CT37^2T1
13692722331625Power N-CT37^2
13702960116473Add 1 factors
13713068433673Add 2 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
 Graph: