On maximal curves and linearized permutation polynomials over finite fields

DOI10.1016/S0022-4049(00)00112-2zbMath1013.11025OpenAlexW2068360329WikidataQ126529441 ScholiaQ126529441MaRDI QIDQ5945495

Ferruh Özbudak

Publication date: 2 July 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(00)00112-2

zbMATH Keywords

finite fieldslinearized polynomialmaximal curvepermutation polynomial

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Arithmetic ground fields for curves (14H25) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Curves over finite and local fields (11G20) Polynomials over finite fields (11T06)

Related Items (3)

On diamond products ensuring irreducibility of the associated composed product ⋮ Small complete caps in PG(4n+1,q)${\rm PG}(4n+1, q)$ ⋮ On coefficient constraints and evaluation restrictions for linearized polynomials

Cites Work

• Algebraic function fields and codes
• On primitive polynomials over finite fields
• The genus of maximal function fields over finite fields
• Exceptional polynomials of affine type
• On maximal curves
• The genus of curves over finite fields with many rational points
• A theorem on cyclic matrices
• Polynomials and linear transformations over finite fields.
• Linear permutation polynomials with coefficients in a subfield
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