Browsing by Subject "Abelian code"

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    From ds-bounds for cyclic codes to true minimum distance for abelian codes
    (IEEE, 2019) Bernal Buitrago, José Joaquín; Guerreiro, Marines; Simón Pinero, Juan Jacobo; Matemáticas
    In this paper we develop a technique to extend any bound for the minimum distance of cyclic codes constructed from its defining sets (ds-bounds) to abelian (or multivariate) codes through the notion of B-apparent distance. We also study conditions for an abelian code to verify that its B-apparent distance reaches its (true) minimum distance. Then we construct some codes as an application.