Codes and modular curves

Alain Couvreur

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arXiv · 2301.03569

Codes and modular curves

Alain Couvreur

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Abstract

These lecture notes have been written for a course at the Algebraic Coding Theory (ACT) summer school 2022 that took place in the university of Zurich. The objective of the course propose an in-depth presentation of the proof of one of the most striking results of coding theory: Tsfasman Vl\u{a}du\c{t} Zink Theorem, which asserts that for some prime power $q$, there exist sequences of codes over $\mathbb{F}_q$ whose asymptotic parameters beat random codes.

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Alain Couvreur. 2023-01-09. Codes and modular curves. https://arxiv.org/abs/2301.03569

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