Session S29 - Theory and Applications of Coding Theory

Tuesday, July 13, 14:30 ~ 14:55 UTC-3

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

Denis Videla

Universidad Nacional de Córdoba, Argentina   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

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. This talk is based on a recent published article.

\textsc{R.A.\@ Podest\'a, D.E.\@ Videla}. \textit{The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphs}. Adv.\@ Math.\@ Comm.\@ (2021), doi: 10.3934/amc.2021002

Joint work with Ricardo Podestá (Universidad Nacional de Córdoba, Argentina).

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