On a generalization of the Deligne–Lusztig curve of Suzuki type and application to AG codes-Reference-Cited by-同舟云学术

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

Published:2024-01-01 Issue:1 Volume:18 Page:
ISSN:1862-2984
Container-title:Journal of Mathematical Cryptology
language:en
Short-container-title:

Author:

Timpanella Marco¹^ORCID

Affiliation:

1. Dipartimento di Matematica e Informatica, University of Perugia, Via Vanvitelli , 1 - 06123 Perugia , Italy

Abstract

Abstract 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 field and a weak Castle curve over its extensions. This is a relevant feature when codes constructed from the curve are considered.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/jmc-2023-0024/pdf

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