Table for CAN(5,k,16) for k up to 10000

Last Updated Fri Sep 20 11:41:02 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;5,k,16) 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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171048576orthogonal array
181419855orthogonal array fuse
202476093orthogonal array fuse fuse fuse
243145725perfect hash family3,24,17
344128768Martirosyan-Tran van Trung
365015552Martirosyan-Tran van Trung
396291450perfect hash family6,39,17
487340025perfect hash family7,48,17
558388600perfect hash family8,55,17
719437175perfect hash family9,71,17
8810485750perfect hash family10,88,17
28911534325Power CT17^2
29115796485Add 2 factors
29216779525Add 3 factors
30517762565Add 16 factors
30619093749Add 17 factors
30721079820Power N-CT19^2Arc(3)
32422062860Power N-CT19^2T1T1
34223045900Power N-CT19^2T1
36124028940Power N-CT19^2
51224386837Martirosyan-Tran van Trung
54424502037Martirosyan-Tran van Trung
54624693527Martirosyan-Tran van Trung
57626312471Martirosyan-Tran van Trung
57826587515Martirosyan-Tran van Trung
58029529116Martirosyan-Tran van Trung
58231433756Martirosyan-Tran van Trung
58432416796Martirosyan-Tran van Trung
61033399836Martirosyan-Tran van Trung
61234731020Martirosyan-Tran van Trung
61437731548Martirosyan-Tran van Trung
62039634995Power N-CT31^2T11
74440304627Power N-CT31^2T7
96441287670Power N-CT31^2+3
102645416437Power CT32^2+2
104450155510Power N-CT37^2Arc(10)
107251431408Power N-CT37^2Arc(9)
110152707306Power N-CT37^2Arc(8)
113153983204Power N-CT37^2Arc(7)
116255259102Power N-CT37^2Arc(6)
119456535000Power N-CT37^2Arc(5)
123557671625perfect hash family55,1235,17
126159086796Power N-CT37^2Arc(3)
491359768757Power CT23^3T6T6T6
520260140036Power CT23^3T6T6T5
550860511315Power CT23^3T6T5T5
583260882594Power CT23^3T5T5T5
612061567553Power CT23^3T6T5T3
615661865634Power CT23^3T5T5T4
664761865906Power CT23^3T6T6
703862237185Power CT23^3T6T5
745262608464Power CT23^3T5T5
782063293423Power CT23^3T6T3
786663591504Power CT23^3T5T4
828063664702Power CT23^3T5T3
899363963055Power CT23^3T6
952264334334Power CT23^3T5
1000065317374Power CT23^3T4