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Chapitre D'ouvrage Année : 2021

Algebraic geometry codes and some applications

Résumé

This article surveys the development of the theory of algebraic geometry codes since their discovery in the late 70's. We summarize the major results on various problems such as: asymptotic parameters, improved estimates on the minimum distance, and decoding algorithms. In addition, we present various modern applications of these codes such as public-key cryptography, algebraic complexity theory, multiparty computation or distributed storage.

Dates et versions

hal-02931167 , version 1 (04-09-2020)

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Citer

Alain Couvreur, Hugues Randriambololona. Algebraic geometry codes and some applications. W. Cary Huffman, Jon-Lark Kim, Patrick Solé. A Concise Encyclopedia of Coding Theory, Chapman and Hall/CRC, pp.998, 2021, A Concise Encyclopedia of Coding Theory, 9781138551992. ⟨hal-02931167⟩
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