Author:
Trifina Lucian,Tarniceriu Daniela
Abstract
In this paper, we have obtained the prime factorization form of positive integers N for which the number of true different fourth- and fifth-degree permutation polynomials (PPs) modulo N is equal to zero. We have also obtained the prime factorization form of N so that the number of any degree PPs nonreducible at lower degree PPs, fulfilling Zhao and Fan (ZF) sufficient conditions, is equal to zero. Some conclusions are drawn comparing all fourth- and fifth-degree permutation polynomials with those fulfilling ZF sufficient conditions.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference14 articles.
1. Permutation Group Theory and Permutation Polynomials, Algebras and Combinatorics: An International Congress;Cohen,1999
2. Finite Fields;Lidl,1997
3. Interleavers for turbo codes using permutation polynomials over integer ring;Sun;IEEE Trans. Inform. Theory,2005
4. On the equivalence of interleavers for turbo codes using quadratic permutation polynomials over integer rings
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