On monomial complete permutation polynomials

DOI10.1016/j.ffa.2016.06.005zbMath1372.11107OpenAlexW2481555089MaRDI QIDQ530401

Daniele Bartoli, Massimo Giulietti, Giovanni Zini

Publication date: 29 July 2016

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2016.06.005

zbMATH Keywords

permutation polynomialscomplete permutation polynomialsbent-negabent Boolean functions

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Polynomials over finite fields (11T06)

Related Items (15)

New classes of complete permutation polynomials ⋮ Unnamed Item ⋮ Permutation polynomials of the type \(x^rg(x^{s})\) over \({\mathbb {F}}_{q^{2n}}\) ⋮ Several classes of complete permutation polynomials with Niho exponents ⋮ Full classification of permutation rational functions and complete rational functions of degree three over finite fields ⋮ 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 ⋮ Some results on complete permutation polynomials and mutually orthogonal Latin squares ⋮ Permutation polynomials, fractional polynomials, and algebraic curves ⋮ Complete permutation polynomials from exceptional polynomials ⋮ Several classes of complete permutation polynomials over finite fields of even characteristic ⋮ On derivatives of planar mappings and their connections to complete mappings ⋮ Extended framework for constructing (complete) permutations by specifying their coordinate functions ⋮ Constructions of complete permutation polynomials

Cites Work

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• Some classes of monomial complete permutation polynomials over finite fields of characteristic two
• Complete permutation polynomials from exceptional polynomials
• Some classes of complete permutation polynomials over \(\mathbb F_q\)
• Permutation and complete permutation polynomials
• Several classes of complete permutation polynomials
• A note on complete polynomials over finite fields and their applications in cryptography
• Permutation polynomials over finite fields -- a survey of recent advances
• 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 $\mathcal{M}$
• Investigations on Bent and Negabent Functions via the Nega-Hadamard Transform
• Ovali ed altre curve nei piani di Galois di caratteristica due

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