Some theorems on permutation polynomials

DOI10.1090/S0002-9904-1962-10750-2zbMath0217.33003OpenAlexW2028886857MaRDI QIDQ5621414

Leonard Carlitz

Publication date: 1962

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

Full work available at URL: https://doi.org/10.1090/s0002-9904-1962-10750-2

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items (21)

Piecewise constructions of inverses of cyclotomic mapping permutation polynomials ⋮ Permutation polynomials on matrices ⋮ New classes of permutation binomials and permutation trinomials over finite fields ⋮ Zur Theorie der Polynomtransformationen und Permutationspolynome ⋮ Über Permutationspolynome und Permutationsfunktionen für Primzahlpotenzen ⋮ Permutation polynomials and applications to coding theory ⋮ Necessary and sufficient conditions of two classes of permutation polynomials ⋮ Some permutation pentanomials over finite fields with even characteristic ⋮ Permutation polynomials over finite fields ⋮ Unnamed Item ⋮ Determination of a type of permutation binomials over finite fields ⋮ On some permutation binomials and trinomials over \(\mathbb{F}_{2^n}\) ⋮ A piecewise construction of permutation polynomials over finite fields ⋮ Permutation polynomials over finite fields -- a survey of recent advances ⋮ A class of permutation binomials over finite fields ⋮ Piecewise constructions of inverses of some permutation polynomials ⋮ On some permutation polynomials over $\mathbb {F}_q$ of the form $x^r h(x^{(q-1)/d})$ ⋮ The arithmetic of polynomial maps over a group and the structure of certain permutational polynomial groups. I ⋮ Permutation binomials over finite fields ⋮ Permutation binomials over finite fields ⋮ Cryptosystems based on permutation polynomials

Cites Work

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