Table for CAN(5,k,18) 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,18) 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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61889568Derive from strength 6
82243020Derive from strength 6
92374962Add a symbol
202476097orthogonal array fuse
246436333orthogonal array fuse fuse fuse fuse fuse
277428257perfect hash family3,27,19,c fuse
287428288perfect hash family3,28,20
309555192Martirosyan-Tran van Trung
329556616Martirosyan-Tran van Trung
349586704Martirosyan-Tran van Trung
409600416Martirosyan-Tran van Trung
4414856497perfect hash family6,44,19,c fuse
4814856576perfect hash family6,48,20
5517332577perfect hash family7,55,19,c fuse
6117332672perfect hash family7,61,20
6819808657perfect hash family8,68,19,c fuse
7619808768perfect hash family8,76,20
8722284737perfect hash family9,87,19,c fuse
9822284864perfect hash family9,98,20
11424174431Power N-CT19^2T13
13324240041Power N-CT19^2T12
15224527883Power N-CT19^2T11
17124659825Power N-CT19^2T10
36224760960Power N-CT19^2+1
36432714206Add 2 factors
36535649250Add 3 factors
36637864690Add 4 factors
38138451220Add 19 factors
38242648010Add 19 factors
38346404466Add 19 factors
38449339510Add 19 factors
38551554950Add 19 factors
40052141480Add 19 factors
48054107235Martirosyan-Tran van Trung
49054134665Martirosyan-Tran van Trung
68454162095Martirosyan-Tran van Trung
72254189525Martirosyan-Tran van Trung
72454396636Martirosyan-Tran van Trung
72658593426Martirosyan-Tran van Trung
72862349882Martirosyan-Tran van Trung
73065284926Martirosyan-Tran van Trung
73267500366Martirosyan-Tran van Trung
76068086896Martirosyan-Tran van Trung
76268202513Martirosyan-Tran van Trung
128477425813Power N-CT41^2Arc(9)T2 fuse
134886403735Power N-CT41^2Arc(9)
138190363987Power N-CT41^2Arc(8)
141594324239Power N-CT41^2Arc(7)
145098284491Power N-CT41^2Arc(6)
1486102244743Power N-CT41^2Arc(5)
1523106204995Power N-CT41^2Arc(4)
1561110165247Power N-CT41^2Arc(3)
1600114125499Power N-CT41^2T1T1
1640118085751Power N-CT41^2T1
1681122046003Power N-CT41^2
2400122695735Power CT23^3T17T3T3
2800122761345Power CT23^3T16T3T3
3200123049187Power CT23^3T15T3T3
3600123181129Power CT23^3T14T3T3
8000123282264Power CT23^3T3T3T3
8400125380200Power CT23^3T3T3T2
9200127242500Power CT23^3T3T3
9660129340436Power CT23^3T3T2
10000131202736Power CT23^3T3