Permutation and complete permutation polynomials

DOI10.1016/j.ffa.2014.11.010zbMath1368.11126OpenAlexW2068894520MaRDI QIDQ2011492

L. A. Bassalygo, Victor A. Zinoviev

Publication date: 3 August 2017

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2014.11.010

zbMATH Keywords

finite fieldexponential sumpermutation polynomialcomplete permutation polynomial

Mathematics Subject Classification ID

Related Items (25)

Linear permutations and their compositional inverses over 𝔽qn ⋮ New classes of complete permutation polynomials ⋮ A survey on the applications of Niho exponents ⋮ Infinite classes of vectorial plateaued functions, permutations and complete permutations ⋮ Unnamed Item ⋮ New classes of permutation binomials and permutation trinomials over finite fields ⋮ Permutations via linear translators ⋮ Unnamed Item ⋮ Several classes of complete permutation polynomials with Niho exponents ⋮ Further results on complete permutation monomials over finite fields ⋮ Complete permutation polynomials with the form \((x^{p^m} - x + \delta)^s + a x^{p^m} + b x\) over \(\mathbb{F}_{p^n}\) ⋮ A specific type of permutation and complete permutation polynomials over finite fields ⋮ On piece-wise permutation polynomials ⋮ More classes of permutation trinomials with Niho exponents ⋮ Two types of permutation polynomials with special forms ⋮ On some permutation binomials and trinomials over \(\mathbb{F}_{2^n}\) ⋮ Binomial permutations over finite fields with even characteristic ⋮ Complete permutation polynomials from exceptional polynomials ⋮ Several classes of complete permutation polynomials over finite fields of even characteristic ⋮ On monomial complete permutation polynomials ⋮ Extended framework for constructing (complete) permutations by specifying their coordinate functions ⋮ Constructions of complete permutation polynomials ⋮ Infinite classes of generalised complete permutations ⋮ Determination of a type of permutation binomials and trinomials ⋮ Further results on permutation trinomials with Niho exponents

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some classes of monomial complete permutation polynomials over finite fields of characteristic two
• Several classes of complete permutation polynomials
• A note on complete polynomials over finite fields and their applications in cryptography
• On Some Permutation Binomials of the Form $x^{\frac{2^n-1}{k}+1} +ax$ over $\mathbb{F}_{2^n}$ : Existence and Count
• Cubic Monomial Bent Functions: A Subclass of $\mathcal{M}$

This page was built for publication: Permutation and complete permutation polynomials