- Path:
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On a generalization of the Deligne–Lusztig curve of Suzuki type and application to AG codes
Files
External resources
Periodical
- Title:
- Journal of mathematical cryptology
- Publication:
-
Berlin [u.a.]: de Gruyter, 2007 -
- Scope:
- Online-Ressource
- Note:
- Gesehen am 17.09.2020
- Open Access
- Namensnennung 4.0 International
- 355!URL-Ä(30-01-12)
- ISSN:
- 1862-2984
- ZDB-ID:
-
2278189-4
- Keywords:
- Zeitschrift
- Classification:
- Mathematik
- Copyright:
- Rights reserved
- Accessibility:
- Free Access
- Collection:
- Mathematik
Article
- Title:
- On a generalization of the Deligne–Lusztig curve of Suzuki type and application to AG codes
- Publication:
-
Berlin [u.a.]: de Gruyter, 2024
- Language:
- English
- Scope:
- Online-Ressource
- Note:
- Open Access
- Archivierung/Langzeitarchivierung gewährleistet
- Keywords:
- AG codes ; quantum codes ; Deligne–Lusztig curves ; 94B27
- Classification:
- Mathematik
- Sonstiges
- Collection:
- Mathematik
- Sonstiges
- Copyright:
- CC BY
- Accessibility:
- Free Access
- Information:
-
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.
