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Conference Papers Year : 2011

On the weights of affine-variety codes and some Hermitian codes

Abstract

For any affine-variety code we show how to construct an ideal whose solutions correspond to codewords with any assigned weight. We use our ideal and a geometric characterization to determine the number of small-weight codewords for some families of Hermitian codes over any Fq. In particular, we determine the number of minimum-weight code- words for all Hermitian codes with d ≤ q. For such codes we also count some other small-weight codewords.
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Dates and versions

inria-00614257 , version 1 (10-08-2011)

Identifiers

  • HAL Id : inria-00614257 , version 1

Cite

Marco Pellegrini, Chiara Marcolla, Massimiliano Sala. On the weights of affine-variety codes and some Hermitian codes. WCC 2011 - Workshop on coding and cryptography, Apr 2011, Paris, France. pp.273-282. ⟨inria-00614257⟩
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