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Codes and modular curves
January 09, 2023 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Alain Couvreur
arXiv ID
2301.03569
Category
math.NT
Cross-listed
cs.IT,
math.AG
Citations
0
Venue
arXiv.org
Last Checked
1 month ago
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 VlΔduΕ£ 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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