Permutation polynomials and group permutation polynomials

2001/02/01 by Young Ho Park, Youngho Park, June Bok Lee · 13 citations
Computer Science · Engineering · #Coding theory and cryptography #Cryptography and Residue Arithmetic #graph theory and CDMA systems

paper · pdf · doi:10.1017/s0004972700019110

Abstract

Permutation polynomials of the form x τ f ( x 3 ) over a finite field give rise to group permutation polynomials. We give a group theoretic criterion and some other criteria in terms of symmetric functions and power functions.

Cited by

• New Results on Permutation Binomials of Finite Fields
• A conjecture on permutation trinomials over finite fields of characteristic two
• Two types of permutation polynomials with special forms
• Determination of a Class of Permutation Trinomials in Characteristic Three
• On the constructions of n-cycle permutations
• A new class of permutation trinomials constructed from Niho exponents
• On the Tu-Zeng Permutation Trinomial of Type (1/4,3/4)
• Cryptographically Strong Permutations from the Butterfly Structure
• Some results about permutation properties of a kind of binomials over finite fields
• Further Results on Permutation Polynomials over Finite Fields
• On Differential and Boomerang Properties of a Class of Binomials over Finite Fields of Odd Characteristic
• Necessities and sufficiencies of a class of permutation polynomials over finite fields
• On Two Conjectures about Permutation Trinomials over \mathbbF_3^2k

Related

• Specific permutation polynomials over finite fields
• Further Results on Permutation Polynomials over Finite Fields
• Some New Permutation Polynomials over Finite Fields
• A note on permutation polynomials over finite fields
• Constructions and necessities of some permutation polynomials