INVESTIGADORES
PODESTA Ricardo Alberto
artículos
Título:
The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphs
Autor/es:
RICARDO A. PODESTÁ; DENIS E. VIDELA
Revista:
ADVANCES IN MATHEMATICS OF COMMUNICATIONS
Editorial:
AMER INST MATHEMATICAL SCIENCES
Referencias:
Lugar: springfield; Año: 2023 vol. 17 p. 446 - 464
ISSN:
1930-5346
Resumen:
We use known characterizations of generalized Paley graphs which are Cartesian decomposable to explicitly compute the spectra of the corresponding associated irreducible cyclic codes. As applications, we give reduction formulas for the number of rational points in Artin-Schreier curves defined over extension fields and to the computation of Gaussian periods.