Bases of Riemann–Roch spaces from Kummer extensions and algebraic geometry codes

We construct explicit bases of Riemann–Roch spaces from Kummer extensions and algebraic geometry codes with good parameters. This correspondence is a generalization of a work of Maharaj, Matthews, and Pirsic.

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Bibliographic Details
Published in:Finite fields and their applications 2022-06, Vol.80, p.102025, Article 102025
Main Authors: Garzón, A., Navarro, H.
Format: Article
Language:English
Subjects:
Algebraic geometry codes
Kummer extensions
Riemann–Roch spaces
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Description
Summary:We construct explicit bases of Riemann–Roch spaces from Kummer extensions and algebraic geometry codes with good parameters. This correspondence is a generalization of a work of Maharaj, Matthews, and Pirsic.
ISSN:1071-5797
1090-2465
DOI:10.1016/j.ffa.2022.102025