Codes and modular curves
Number Theory
2023-01-10 v1 Information Theory
Algebraic Geometry
math.IT
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 , there exist sequences of codes over whose asymptotic parameters beat random codes.
Cite
@article{arxiv.2301.03569,
title = {Codes and modular curves},
author = {Alain Couvreur},
journal= {arXiv preprint arXiv:2301.03569},
year = {2023}
}
Comments
Lecture notes for a course given at the Algebraic Coding Theory (ACT) summer school 2022