PERMUTATION POLYNOMIALS IN ONE INDETERMINATE OVER MODULAR ALGEBRAS
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Acosta-Solarte, P. A., & Albis, V. S. (2023). PERMUTATION POLYNOMIALS IN ONE INDETERMINATE OVER MODULAR ALGEBRAS. Revista De La Academia Colombiana De Ciencias Exactas, Físicas Y Naturales, 30(117), 541–548. https://doi.org/10.18257/raccefyn.30(117).2006.2281

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Abstract

Known results on permutation polynomials with coefficients in a finite field are extended to algebras of the form Lv=K[X]/(p(X)v)), where K is a finite field, p(X) belongs to K[X] and is an irreducible polynomial, v = 1,2..., and to the algebra of power series L[[Z]]. Finally analogues of Dickson polynomials in these algebras are studied.

https://doi.org/10.18257/raccefyn.30(117).2006.2281

Keywords

Permutation polynomial | Dickson polynomial
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References

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