[Resource Topic] 2009/393: Permutation Polynomials modulo $p^n$}

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Title:
Permutation Polynomials modulo p^n}

Authors: Rajesh P Singh, Soumen Maity

Abstract:

A polynomial f over a finite ring R is called a \textit{permutation polynomial} if the mapping R\rightarrow R defined by f is one-to-one. In this paper we consider the problem of characterizing permutation polynomials; that is, we seek conditions on the coefficients of a polynomial which are necessary and sufficient for it to represent a permutation. We also present a new class of permutation binomials over finite field of prime order.

ePrint: https://eprint.iacr.org/2009/393

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