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arxiv: cs/0508107 · v1 · submitted 2005-08-24 · 💻 cs.IT · cs.DM· math.IT

New Upper Bounds on A(n,d)

classification 💻 cs.IT cs.DMmath.IT
keywords boundsupperanalyticargumentsbestbinarycodecodes
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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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