Permutation polynomials with Carlitz rank 2

DOI10.1016/j.disc.2020.112155zbMath1480.11156arXiv1912.04653OpenAlexW3087744380MaRDI QIDQ2219946

Fabio Enrique Brochero Martínez, José Alves Oliveira

Publication date: 21 January 2021

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.04653

zbMATH Keywords

permutation polynomialCarlitz rankHermite criteria

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)

Cites Work

• New classes of permutation binomials and permutation trinomials over finite fields
• Determination of a type of permutation binomials over finite fields
• Determination of a type of permutation trinomials over finite fields. II
• New cyclic difference sets with Singer parameters
• On the Carlitz rank of permutation polynomials
• On polynomial approximation of the discrete logarithm and the Diffie-Hellman mapping.
• Circular Tuscan-\(k\) arrays from permutation binomials
• Carlitz rank and index of permutation polynomials
• Complete mappings and Carlitz rank
• The Carlitz rank of permutations of finite fields: a survey
• On the Carlitz rank of permutations of \(\mathbb F_q\) and pseudorandom sequences
• Handbook of Finite Fields
• Permutation Arrays for Powerline Communication and Mutually Orthogonal Latin Squares
• Permutation binomials over finite fields
• Permutations in a finite field
• Polynomial interpolation of the discrete logarithm

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