Artículo

The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphs

Podesta, Ricardo AlbertoIcon ; Videla Guzman, Denis EduardoIcon
Fecha de publicación: 02/2021
Editorial: American Institute of Mathematical Sciences
Revista: Advances In Mathematics Of Communications
ISSN: 1930-5346
e-ISSN: 1930-5338
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

We use known characterizations of generalized Paley graphs which areCartesian decomposable to explicitly compute the spectra of the corresponding associated irreducible cyclic codes. As applications, we give reduction formulas forthe number of rational points in Artin-Schreier curves defined over extension fields and to the computation of Gaussian periods.
Palabras clave: IRREDUCIBLE CYCLIC CODES , GENERALIZED PALEY GRAPHS , SPECTRA , CARTESIAN DECOMPOSABLE.
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/172747
URL: https://www.aimsciences.org/article/doi/10.3934/amc.2021002
DOI: http://dx.doi.org/10.3934/amc.2021002
Colecciones
Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Citación
Podesta, Ricardo Alberto; Videla Guzman, Denis Eduardo; The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphs; American Institute of Mathematical Sciences; Advances In Mathematics Of Communications; 2-2021; 1-19
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