On a generalization of the Deligne–Lusztig curve of Suzuki type and application to AG codes

In this article, Algebraic-Geometric (AG) codes and quantum codes associated with a family of curves that includes the famous Suzuki curve are investigated. The Weierstrass semigroup at some rational point is computed. Notably, each curve in the family turns out to be a Castle curve over some finite...

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Bibliographic Details
Main Author: Timpanella Marco
Format: Article
Language:English
Published: De Gruyter 2024-02-01
Series:Journal of Mathematical Cryptology
Subjects:
Online Access:https://doi.org/10.1515/jmc-2023-0024