the weight distribution of irreducible cyclic codes asossiated with cartesian decomposable generalized Paley graphs

DENIS E. VIDELA; RICARDO A. PODESTÁ

Congreso; CLAM 2021; 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.