Orthogonal systems and permutation polynomial vectors over modular algebras
Pablo A. Acosta-Solarte, Víctor S. Albis

Abstract
Acosta–Solarte, Pablo A. & V´ıctor S. Albis: Orthogonal systems and permutation polynomial vectors over modular algebras. Rev. Acad. Colomb. Cienc. 36 (139): 2012. ISSN 0370-3908.
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. Key words: Permutation polynomial, orthogonal systems, permutation polynomial vectors.
Resumen
Resultados sobre sistemas ortogonales y vectores de polinomios de permutaci´on se extienden a las ´algebras 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 ´algebra de las series potenciales formales L[[Z]], donde L1 = K[X]/(p(X)) = L. Palabras clave: Polinomio de permutaci´on, sistemas ortogonales, vectores de polinomios de permutaci´on.
Abstract
Acosta–Solarte, Pablo A. & V´ıctor S. Albis: Orthogonal systems and permutation polynomial vectors over modular algebras. Rev. Acad. Colomb. Cienc. 36 (139): 2012. ISSN 0370-3908. 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. Key words: Permutation polynomial, orthogonal systems, permutation polynomial vectors.