Table for CAN(5,k,15) 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,15) 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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6759375Derive from strength 6
171048574orthogonal array fuse
181419853orthogonal array fuse fuse
202476091orthogonal array fuse fuse fuse fuse
243145719perfect hash family3,24,17
264002522Martirosyan-Tran van Trung
284008186Martirosyan-Tran van Trung
304017330Martirosyan-Tran van Trung
324018338Martirosyan-Tran van Trung
344025898Martirosyan-Tran van Trung
364673461Martirosyan-Tran van Trung
396291438perfect hash family6,39,17
487340011perfect hash family7,48,17
558388584perfect hash family8,55,17
719437157perfect hash family9,71,17
8810485730perfect hash family10,88,17
10211245104Power CT17^2T11
11911346354Power CT17^2T10
28911534303Power CT17^2
29115105563Add 2 factors
29215814313Add 3 factors
29317346143Add 4 factors
29517631503Add 16 factors
30517635343Add 16 factors
30618935967Add 17 factors
30720206410Power N-CT19^2Arc(3)
32421064680Power N-CT19^2T1T1
34221922950Power N-CT19^2T1
36122781220Power N-CT19^2
37823725729Martirosyan-Tran van Trung
44823742107Martirosyan-Tran van Trung
51223758485Martirosyan-Tran van Trung
54423866005Martirosyan-Tran van Trung
54623942331Martirosyan-Tran van Trung
55625502523Martirosyan-Tran van Trung
57825522165Martirosyan-Tran van Trung
58027895683Martirosyan-Tran van Trung
58229424175Martirosyan-Tran van Trung
58430132925Martirosyan-Tran van Trung
58631664755Martirosyan-Tran van Trung
59031950115Martirosyan-Tran van Trung
61031953955Martirosyan-Tran van Trung
61233254579Martirosyan-Tran van Trung
61435628139Martirosyan-Tran van Trung
62038641123Power N-CT31^2T11
62739274247Power N-CT29^2Arc(3)T5
64939283391Power N-CT29^2Arc(2)T5
67239292535Power N-CT29^2T5T1
69639301679Power N-CT29^2T5
69739308735Power N-CT31^2Arc(2)T7
72039309743Power N-CT31^2T7T1
74439310751Power N-CT31^2T7
75740145858Power N-CT29^2Arc(3)
78440155002Power N-CT29^2T1T1
81240164146Power N-CT29^2T1
81340171202Power N-CT31^2Arc(2)T3
84040172210Power N-CT31^2T3T1
86840173218Power N-CT31^2T3
87140180346Power N-CT31^2Arc(3)
90040181354Power N-CT31^2T1T1
93040182362Power N-CT31^2T1
96240183370Power N-CT31^2+1
96440258970Power N-CT31^2+3
102444201707Power CT32^2
102644284867Power CT32^2+2
104446734600Power N-CT37^2Arc(10)
107248342570Power N-CT37^2Arc(9)
108849336895Martirosyan-Tran van Trung
109249550081Martirosyan-Tran van Trung
110149950540Power N-CT37^2Arc(8)
113151558510Power N-CT37^2Arc(7)
116253166480Power N-CT37^2Arc(6)
119454774450Power N-CT37^2Arc(5)
122756382420Power N-CT37^2Arc(4)
123557671515perfect hash family55,1235,17
126157990390Power N-CT37^2Arc(3)
173459479444Power CT23^3T17T6T6
202359580694Power CT23^3T16T6T6
491359768643Power CT23^3T6T6T6
520260139922Power CT23^3T6T6T5
550860511201Power CT23^3T6T5T5
583260882480Power CT23^3T5T5T5
612061567439Power CT23^3T6T5T3
615661740750Power CT23^3T5T5T4
664761865788Power CT23^3T6T6
703862237067Power CT23^3T6T5
745262608346Power CT23^3T5T5
782063293305Power CT23^3T6T3
786663466616Power CT23^3T5T4
828063664584Power CT23^3T5T3
899363962933Power CT23^3T6
952264334212Power CT23^3T5
1000065192482Power CT23^3T4