10 citations · 30 across the 9 of their papers we have counts for
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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★ 1 cited
Cyclic codes over $M_2(\F_2)$
Adel Alahmadi, Patrick Solé, Houda Sboui +1
The ring in the title is the first non commutative ring to have been used as alphabet for block codes. The original motivation was the construction of some quaternionic modular lat…
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…