We explore a connection between permutation polynomials of the form x r f(x(q-1)/l) and cyclotomic mapping permutation polynomials over finite fields. As an application, we characterize a class of permutation binomials in terms of generalized Lucas sequences.

Additional Metadata
Keywords Cyclotomic mappings, Dickson polynomials, Finite fields, Generalized Lucas sequences, Permutation polynomials
Series Lecture Notes in Computer Science
Citation
Wang, Q. (2007). Cyclotomic mapping permutation polynomials over finite fields. In Lecture Notes in Computer Science.