SISTEMAS ORTOGONALES Y VECTORES POLINOMIOS DE PERMUTACIÓN SOBRE ÁLGEBRAS MODULARES

Abstract

Resultados sobre sistemas ortogonales y vectores de polinomios de permutación se extienden a las ´álgebras modulares de la forma Lν = K[X]/(p(X)ν ), donde K es un cuerpo finito, p(X) ∈ K[X] un polinomio irreducible, ν = 1, 2, . . . y al álgebra de las series potenciales formales L[[Z]], donde L1 = K[X]/(p(X)) = L.

Known results on orthogonal systems and permutation polynomials vectors over finite fields are extended to modular algebras of the form Lν = K[X]/(p(X)ν ), where K is a finite field, p(X) ∈ K[X] is an irreducible polynomial, ν = 1, 2, . . ., and to the algebra of formal power series L[[Z]], where L1 = K[X]/(p(X)) = L.