On some permutation binomials and trinomials over \(\mathbb{F}_{2^n}\)

DOI10.1007/s10623-016-0229-0zbMath1402.11145arXiv1605.03375OpenAlexW2963903823MaRDI QIDQ510461

Srimanta Bhattacharya, Sumanta Sarkar

Publication date: 10 February 2017

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.03375

zbMATH Keywords

finite fieldpermutation binomialpermutation trinomial

Mathematics Subject Classification ID

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

Related Items (6)

Minimal binary linear codes: a general framework based on bent concatenation ⋮ Six new classes of permutation trinomials over \(\mathbb{F}_{3^{3k}}\) ⋮ Six New Classes of Permutation Trinomials over $\mathbb{F}_{2^{n}}$ ⋮ On permutation trinomials of type \(x^{2 p^s + r} + x^{p^s + r} + \lambda x^r\) ⋮ Binomial permutations over finite fields with even characteristic ⋮ Permutation binomials over finite fields

Cites Work

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• Some classes of monomial complete permutation polynomials over finite fields of characteristic two
• Determination of a type of permutation binomials over finite fields
• Complete permutation polynomials over finite fields of odd characteristic
• Determination of a type of permutation trinomials over finite fields. II
• On constructing permutations of finite fields
• On permutation polynomials
• Permutation polynomials of the form \(x^r f(x^{(q-1)/d)}\) and their group structure
• Permutation and complete permutation polynomials
• On some permutation polynomials over finite fields
• Several classes of complete permutation polynomials
• Permutation polynomials over finite fields -- a survey of recent advances
• Handbook of Finite Fields
• On Some Permutation Binomials of the Form $x^{\frac{2^n-1}{k}+1} +ax$ over $\mathbb{F}_{2^n}$ : Existence and Count
• A survey of permutation binomials and trinomials over finite fields
• Permutation Trinomials Over Finite Fields with Even Characteristic
• Cubic Monomial Bent Functions: A Subclass of $\mathcal{M}$
• Cyclotomic Mapping Permutation Polynomials over Finite Fields
• Some theorems on permutation polynomials
• Orthomorphism graphs of groups

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