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Improvement on the Johnson upper bound for error-correcting codes

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3 Author(s)
Mounits, B. ; Dept. of Math., Technion-Israel Inst. of Technol., Haifa, Israel ; Etzion, T. ; Litsyn, S.

Let A(n, d) denote the maximum possible number of codewords in a binary code of length n and minimum Hamming distance d. For large values of n the best known upper bound, for fixed d, is the Johnson bound. We give a new upper bound which is at least as good as the Johnson bound for all values of n and d, and for each d there are infinitely many values of n for which the new bound is better than the Johnson bound.

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Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on

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