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cs.IT2012★ 3 cited
The maximum number of minimal codewords in an code
A. Alahmadi, R. E. L. Aldred, R. dela Cruz +2
Upper and lower bounds are derived for the quantity in the title, which is tabulated for modest values of and An application to graphs with many cycles is given.
cs.IT2012
The maximum number of minimal codewords in long codes
Adel Alahmadi, R. E. L. Aldred, Romar dela Cruz +2
Upper bounds on the maximum number of minimal codewords in a binary code follow from the theory of matroids. Random coding provide lower bounds. In this paper we compare these boun…