Classification of permutation trinomials and quadrinomials over prime fields

DOI10.1007/s10958-014-1966-0zbMath1305.11103OpenAlexW1990376615MaRDI QIDQ2256655

M. A. Rybalkin

Publication date: 20 February 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-014-1966-0

zbMATH Keywords

symmetrypermutation polynomialsprime fieldspermutation trinomials

Mathematics Subject Classification ID

Number-theoretic algorithms; complexity (11Y16) Polynomials over finite fields (11T06) Special polynomials in general fields (12E10)

Cites Work

• Unnamed Item
• On inverse permutation polynomials
• Permutation polynomials of the form \(x^r f(x^{(q-1)/d)}\) and their group structure
• Permutation binomials and their groups
• Trapdoor Permutation Polynomials of ℤ/nℤ and Public Key Cryptosystems
• 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?
• When Does a Polynomial over a Finite Field Permute the Elements of the Field?, II
• Permutation Polynomials in RSA-Cryptosystems
• Permutation binomials over finite fields

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