On the generalized Hamming weights of geometric Goppa codes

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1994Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Information Theory, volume 40, pages 2,092-2,099 (issn: 0018-9448,

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Authors: Carlos Munuera;

doi: 10.1109/18.340488

On the generalized Hamming weights of geometric Goppa codes

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Abstract

Summary: We study the generalized Hamming weights of geometric Goppa codes, giving a translation of these weights into arithmetical terms, concerning the arithmetic of the curve used to construct the code. We derive some results and bounds that we apply to some known codes.

Related Organizations

University of Valladolid
Spain

Keywords

Bounds on codes, Computational aspects of algebraic curves, algebraic curve, generalized Hamming weights, geometric Goppa codes, Geometric methods (including applications of algebraic geometry) applied to coding theory

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