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Efficient Decoding of (binary) Cyclic Codes beyond the correction capacity of the code using Gröbner bases

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(1)Efficient Decoding of (binary) Cyclic Codes beyond the correction capacity of the code using Gröbner bases Daniel Augot, Magali Bardet, Jean-Charles Faugère. To cite this version: Daniel Augot, Magali Bardet, Jean-Charles Faugère. Efficient Decoding of (binary) Cyclic Codes beyond the correction capacity of the code using Gröbner bases. [Research Report] RR-4652, INRIA. 2002. �inria-00071933�. HAL Id: inria-00071933 https://hal.inria.fr/inria-00071933 Submitted on 23 May 2006. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Efficient Decoding of (binary) Cyclic Codes beyond the correction capacity of the code using Gröbner bases Daniel Augot — Magali Bardet — Jean-Charles Faugère. N° 4652 Novembre 2002. ISSN 0249-6399. ISRN INRIA/RR--4652--FR+ENG. THÈME 2. apport de recherche.

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