ORTHOGONAL SYSTEMS AND PERMUTATION POLYNOMIAL VECTORS OVER MODULAR ALGEBRAS
Vol. 36 No. 139 (2012), Mathematics
Vol. 36 No. 139 (2012)

ORTHOGONAL SYSTEMS AND PERMUTATION POLYNOMIAL VECTORS OVER MODULAR ALGEBRAS

Mathematics
https://doi.org/10.18257/raccefyn.36(139).2012.2452
Published 2023-12-22
  • Victor Gonzalez
Victor Gonzalez
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Gonzalez, V. (2023). ORTHOGONAL SYSTEMS AND PERMUTATION POLYNOMIAL VECTORS OVER MODULAR ALGEBRAS. Revista De La Academia Colombiana De Ciencias Exactas, Físicas Y Naturales, 36(139), 237–242. https://doi.org/10.18257/raccefyn.36(139).2012.2452
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Abstract

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.

https://doi.org/10.18257/raccefyn.36(139).2012.2452

Keywords

permutation polynomials | orthogonal systems | permutation polynomial vectors
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