Improved sphere bounds on the covering radius of codes

G.J.M. Wee, van

doi:10.1109/18.2632

Improved sphere bounds on the covering radius of codes

G.J.M. Wee, van

Department of Mathematics and Computer Science

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

The sphere bound is a trivial lower bound on K(n,R), the minimal cardinality of any binary code of length n and with covering radius R. By simple arguments it is considerably improved, to K(n,1)&ges;2 n/n for n even. A table of lower and upper bounds on K(n,R) for n&les;33, R &les;10 is included

Original language	English
Pages (from-to)	237-245
Number of pages	9
Journal	IEEE Transactions on Information Theory
Volume	34
Issue number	2
DOIs	https://doi.org/10.1109/18.2632
Publication status	Published - 1988

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Wee, van, G. J. M. (1988). Improved sphere bounds on the covering radius of codes. IEEE Transactions on Information Theory, 34(2), 237-245. https://doi.org/10.1109/18.2632

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AB - The sphere bound is a trivial lower bound on K(n,R), the minimal cardinality of any binary code of length n and with covering radius R. By simple arguments it is considerably improved, to K(n,1)&ges;2 n/n for n even. A table of lower and upper bounds on K(n,R) for n&les;33, R &les;10 is included

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