Lenstra's proof of the Carlitz-Wan conjecture on exceptional polynomials: An elementary version

DOI10.1006/ffta.1995.1027zbMath0839.11063OpenAlexW2606522745WikidataQ123237693 ScholiaQ123237693MaRDI QIDQ1897206

Stephen D. Cohen, Michael D. Fried

Publication date: 17 September 1995

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

Full work available at URL: https://doi.org/10.1006/ffta.1995.1027

zbMATH Keywords

finite fieldpermutationpolynomialexceptional polynomials

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Polynomials over finite fields (11T06) Polynomials (irreducibility, etc.) (11R09)

Related Items (8)

Exceptional polynomials of affine type ⋮ Permutation polynomials of degree 6 or 7 over finite fields of characteristic 2 ⋮ Variables separated equations: strikingly different roles for the branch cycle lemma and the finite simple group classification ⋮ Exponential sums over finite fields ⋮ Carlitz-Wan conjecture for permutation polynomials and Weil bound for curves over finite fields ⋮ PERMUTATION POLYNOMIALS OF DEGREE 8 OVER FINITE FIELDS OF ODD CHARACTERISTIC ⋮ The place of exceptional covers among all diophantine relations ⋮ Symplectic groups and permutation polynomials. II

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