The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphs
Ricardo A. Podestá, FaMAF-CIEM (CONICET), Universidad Nacional de Córdoba, Av. Medina Allende 2144, Ciudad Universitaria, Córdoba (5000), República Argentina, Denis E. Videla · Advances in Mathematics of Communications · 2021
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.