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Applicable Algebra in Engineering, Communication and Computing

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06-01-2021 | Original Paper

On the weights of dual codes arising from the GK curve

Authors: Edoardo Ballico, Matteo Bonini

Published in: Applicable Algebra in Engineering, Communication and Computing | Issue 1/2023

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Abstract

In this paper we investigate some dual algebraic-geometric codes associated with the Giulietti–Korchmáros maximal curve. We compute the minimum distance and the minimum weight codewords of such codes and we investigate the generalized Hamming weights of such codes.

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Here \(E_{red}\) denotes the reduction of the scheme E.

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Title: On the weights of dual codes arising from the GK curve
Authors: Edoardo Ballico
Matteo Bonini
Publication date: 06-01-2021
Publisher: Springer Berlin Heidelberg
Published in: Applicable Algebra in Engineering, Communication and Computing / Issue 1/2023
Print ISSN: 0938-1279
Electronic ISSN: 1432-0622
DOI: https://doi.org/10.1007/s00200-020-00480-6

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