Définition et caractérisation d'une dimension minimale pour les codes principaux nilpotents d'une algèbre modulaire de p-groupe abélien élémentaire. (Definition and characterization of a minimal dimension for the nilpotent principal codes of a modular algebra of the elementary Abelian p-group) (Q1114659)

The set of the ideals belonging to the algebra is divided into subsets; they are determined by the place of an ideal in the decreasing series of ideals composed by the Generalized Reed and Muller codes (GRM-codes). A lower bound is obtained for the dimension of the ideals in each subset. We characterize the minimal dimension ideals and such investigation permits us to represent elements of the first order GRM-code.