Permutation binomials of the form \(x^r (x^{q-1} +a)\) over \(\mathbb{F}_{q^e}\)

DOI10.1016/j.ffa.2022.102003OpenAlexW4210453523MaRDI QIDQ2668092

Ariane M. Masuda, Javier Santiago, Ivelisse M. Rubio

Publication date: 3 March 2022

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

Full work available at URL: https://arxiv.org/abs/2009.10851

zbMATH Keywords

finite fieldpermutation polynomialpermutation binomial

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items (1)

New results on permutation binomials of finite fields

Cites Work

• New classes of permutation binomials and permutation trinomials over finite fields
• Determination of a type of permutation binomials over finite fields
• A class of permutation binomials over finite fields
• On permutation polynomials of prescribed shape
• A note regarding permutation binomials over \(\mathbb{F}_{q^2}\)
• The number of permutation binomials over \({\mathbb F}_{4p+1}\) where \(p\) and \(4p+1\) are primes
• Permutation polynomials over finite fields -- a survey of recent advances
• Permutation polynomials of ${\rm{F}}_{q^2 } $ of the form aX + X^r(q−1)+1
• Handbook of Finite Fields
• A survey of permutation binomials and trinomials over finite fields
• 15. Polynomials over finite fields: an index approach
• Permutation binomials over finite fields

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