CONSTRUCTING PERMUTATION POLYNOMIALS OVER FINITE FIELDS

DOI10.1017/S0004972713000646zbMath1301.11076arXiv1303.2229OpenAlexW3101131359MaRDI QIDQ5419385

Xiaoer Qin, Shao-Fang Hong

Publication date: 6 June 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2229

zbMATH Keywords

elementary symmetric polynomialpermutation polynomiallinearised polynomiallinear translator

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Finite fields (field-theoretic aspects) (12E20)

Related Items (6)

Groups of permutations generated by function-linear translator pairs ⋮ Further results on permutation polynomials via linear translators ⋮ The first and second moments of reversed Dickson polynomials over finite fields ⋮ New results on permutation polynomials over finite fields ⋮ Permutational behavior of reversed Dickson polynomials over finite fields ⋮ Permutational behavior of reversed Dickson polynomials over finite fields. II

Cites Work

• A note on constructing permutation polynomials
• When does \(G(x)+\gamma \, \text{Tr}(H(x))\) permute \(\mathbb F_{p^n}\)?
• Specific permutation polynomials over finite fields
• Permutation polynomials and applications to coding theory
• Permutation polynomials of the form \(x^r f(x^{(q-1)/d)}\) and their group structure
• Constructing permutations of finite fields via linear translators
• Classes of Permutation Polynomials Based on Cyclotomy and an Additive Analogue
• On some permutation polynomials over $\mathbb {F}_q$ of the form $x^r h(x^{(q-1)/d})$
• When Does a Polynomial Over a Finite Field Permute the Elements of the Field?
• Permutation binomials over finite fields
• SOME FAMILIES OF PERMUTATION POLYNOMIALS OVER FINITE FIELDS

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