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Book Sections Year : 2021

Algebraic geometry codes and some applications

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Abstract

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 and versions

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

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Cite

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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