Lower and upper bounds for some generalized arcs

DOI10.1090/conm/766/15369zbMath1464.51009arXiv1912.06043OpenAlexW2995792512MaRDI QIDQ4998840

Alexis Eduardo Almendras Valdebenito, Andrea Luigi Tironi

Publication date: 9 July 2021

Published in: Geometry at the Frontier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.06043

zbMATH Keywords

skew polynomial ringsfinite fieldsconstacyclic codesdual codessemi-linear maps

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of finite geometries (05B25) Blocking sets, ovals, (k)-arcs (51E21) Computational aspects of associative rings (general theory) (16Z05) Decoding (94B35)

Uses Software

• Magma

Cites Work

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• Curve razionali normali e \(k\)-archi negli spazi finiti
• Le geometrie di Galois
• Arcs in projective planes over prime fields
• Complete arcs and algebraic curves in \(\text{PG}(2,q)\)
• The Magma algebra system. I: The user language
• Complete arcs
• On small complete arcs in a finite plane
• On the embedding of an arc into a conic in a finite plane
• New upper bounds on the smallest size of a complete arc in a finite Desarguesian projective plane
• Open problems in finite projective spaces
• Ovals In a Finite Projective Plane

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