Linear codes from arcs and quadrics

Research output: Contribution to journalArticlepeer-review


Using characterizations of ovals, KM-arcs and elliptic quadrics recently described in polar coordinates, we construct some families of LCD, self-orthogonal, three-weight and four-weight linear codes. We also demonstrate some applications to quantum codes.

Original languageEnglish
JournalDesigns, Codes, and Cryptography
Publication statusAccepted/In press - 2023


  • Hyperovals
  • KM-arcs
  • LCD codes
  • Linear codes
  • Linear codes with few weights
  • Ovoids
  • Quantum codes
  • Self-orthogonal codes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science Applications
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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