Algebraic geometry codes and some applications

Alain Couvreur; Hugues Randriambololona

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arXiv · 2009.01281

Algebraic geometry codes and some applications

Alain Couvreur·Hugues Randriambololona

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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.

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Alain Couvreur, Hugues Randriambololona. 2020-09-02. Algebraic geometry codes and some applications. https://arxiv.org/abs/2009.01281

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