Table for CAN(5,k,17) for k up to 10000

Last Updated Sun May 8 14:02:10 MST 2016

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;5,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
181419857orthogonal array
202476095orthogonal array fuse fuse
214101682extended OA (Colbourn) special fuse
244259537perfect hash family3,24,17,c
254259568perfect hash family3,25,18
365595907Martirosyan-TVT
377939866Martirosyan-TVT variant
398519057perfect hash family6,39,17,c
428519136perfect hash family6,42,18
489938897perfect hash family7,48,17,c
519938992perfect hash family7,51,18
5511358737perfect hash family8,55,17,c
6311358848perfect hash family8,63,18
7112778577perfect hash family9,71,17,c
7812778704perfect hash family9,78,18
8814198417perfect hash family10,88,17,c
21614198560Power N-CT19^2Arc(10)
22615254798Power N-CT19^2Arc(9)
28915618257perfect hash family11,289,17,c
29015618416Power CT17^2+1
29118290816Add 1 factors
29220884880Add 2 factors
30721592226Power N-CT19^2Arc(3)
32422648464Power N-CT19^2T1T1
34223704702Power N-CT19^2T1
36224760940Power N-CT19^2+1
36328490876Add 1 factors
36431385500Add 2 factors
43231663442Martirosyan-TVT
45232719680Martirosyan-TVT
57833083139Martirosyan-TVT
58033453218Martirosyan-TVT
58236125618Martirosyan-TVT
58438719682Martirosyan-TVT
61239427028Martirosyan-TVT
61439921124Martirosyan-TVT
61543158530Martirosyan-TVT variant
64745339698Martirosyan-TVT variant
64845751088Martirosyan-TVT
64947541710Martirosyan-TVT variant
68048035378Martirosyan-TVT
68148676370Martirosyan-TVT variant
68349087760Martirosyan-TVT variant
68449115186Martirosyan-TVT
72050174448Martirosyan-TVT
72151413888Martirosyan-TVT variant
72451852704Martirosyan-TVT
74454622690Power N-CT31^2T7
77554622721Power N-CT31^2T6
104455959060Power N-CT37^2Arc(10)
107258303019Power N-CT37^2Arc(9)
110160646978Power N-CT37^2Arc(8)
113162990937Power N-CT37^2Arc(7)
116265334896Power N-CT37^2Arc(6)
119467678855Power N-CT37^2Arc(5)
122770022814Power N-CT37^2Arc(4)
123470825678Power N-CT41^2Trin2,5,5
129670825757Power N-CT41^2T5T5
133273169716Power N-CT41^2T5T4
133673748828Power N-CT41^2Trin2,2,5
140473748907Power N-CT41^2T5T2
147673748986Power N-CT41^2T5
151776092945Power N-CT41^2T4
152176672057Power N-CT41^2T2T2
159976672136Power N-CT41^2T2
168276672215Power N-CT41^2+1
500078750069Power CT25^3TD(6,5) trunc 5
510080375656Power CT25^3TD(6,5) trunc 4
540080533511Power CT25^3TD(6,5) trunc 1
550080533542Power CT25^3TD(5,5) trunc 5
583280931216Power CT23^3T5T5T5
648081987454Power CT23^3T5T5T3
650082317015Power CT25^3TD(4,5) trunc 5
720083043692Power CT23^3T5T3T3
745283770896Power CT23^3T5T5
777683771454Power CT25^3T7T7T1
810083771485Power CT25^3T7T7
828084827134Power CT23^3T5T3
864084827692Power CT25^3T7T5T1
900084827723Power CT25^3T7T5
920085883372Power CT23^3T3T3
960085883930Power CT25^3T5T5T1
1000085883961Power CT25^3T5T5
 Graph: