Abstract: This paper considers construction of some composition permutation polynomials. For some permutation polynomials the explicit view of their self-compositions and inverse mappings are given. Also for some particular case the cycle structure is considered.

Keywords: finite field, polynomial factorization, polynomial composition

ACM Classification Keywords: F.2.1 Numerical Algorithms and Problems

Link:

Construction of Some Composition Permutations via Linear Translators

Sergey Abrahamyan, Knarik Kyuregyan

http://www.foibg.com/ijita/vol22/ijita22-03-p08.pdf