New Upper Bounds on A(n,d)

Computer Science – Information Theory

Scientific paper

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To appear in the proceedings of the 2005 IEEE International Symposium on Information Theory, Adelaide, Australia, September 4-

Scientific paper

Upper bounds on the maximum number of codewords in a binary code of a given
length and minimum Hamming distance are considered. New bounds are derived by a
combination of linear programming and counting arguments. Some of these bounds
improve on the best known analytic bounds. Several new record bounds are
obtained for codes with small lengths.

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