Extended cyclic codes, maximal arcs and ovoids

DOI10.1007/s10623-021-00915-2OpenAlexW3193078367MaRDI QIDQ2232121

Yanyan Li

Publication date: 4 October 2021

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.09399

zbMATH Keywords

ovoidsmaximal arcshyperovalsMDS codesextended cyclic codes

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Linear codes and caps in Galois spaces (51E22) Combinatorial aspects of finite geometries (05B25) Blocking sets, ovals, (k)-arcs (51E21) Cyclic codes (94B15)

Related Items (3)

Several families of irreducible constacyclic and cyclic codes ⋮ Two classes of constacyclic codes with variable parameters ⋮ Polar coordinates view on KM-arcs

Cites Work

• Unnamed Item
• Maximal arcs and extended cyclic codes
• A characterization of Denniston's maximal arcs
• Bent functions and line ovals
• Hyperovals and bent functions
• A Course in Algebraic Error-Correcting Codes
• Fundamentals of Error-Correcting Codes
• The Geometry of Two-Weight Codes
• Designs from Linear Codes
• Constructions of Polygons From Buildings
• Some maximal arcs in finite projective planes
• Introduction to Coding Theory

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