Paper Info
Title
A note on inverses of cyclotomic mapping permutation polynomials over finite fields.
Abstract
In this note, we give a shorter proof of the result of Zheng, Yu, and Pei on the explicit formula of inverses of generalized cyclotomic permutation polynomials over finite fields. Moreover, we characterize all these cyclotomic permutation polynomials that are involutions. Our results provide a fast algorithm (only modular operations are involved) to generate many classes of generalized cyclotomic permutation polynomials, their inverses, and involutions.
Year
DOI
Venue
2017
10.1016/j.ffa.2017.01.006
Finite Fields and Their Applications
Keywords
Field
DocType
11T06
Wilson polynomials,Combinatorics,Orthogonal polynomials,Algebra,Classical orthogonal polynomials,Macdonald polynomials,Cyclic permutation,Discrete orthogonal polynomials,Hahn polynomials,Difference polynomials,Mathematics
Journal
Volume
ISSN
Citations 
45
1071-5797
4
PageRank 
References 
Authors
0.72
12
1
Name
Order
Citations
PageRank
Qiang Wang123737.93