Linear codes associated to symmetric determinantal varieties: even rank case

DOI10.1016/j.ffa.2023.102240arXiv2106.11080OpenAlexW3175020146MaRDI QIDQ6136691

Beelen, Peter, Prasant Singh, Trygve Johnsen

Publication date: 31 August 2023

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

Full work available at URL: https://arxiv.org/abs/2106.11080

zbMATH Keywords

linear codesymmetric matricesminimum distancesymmetric determinantal varieties

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Grassmannians, Schubert varieties, flag manifolds (14M15) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Cites Work

• Hyperplane sections of determinantal varieties over finite fields and linear codes
• On symmetric and skew-symmetric determinantal varieties
• Quadratic and symmetric bilinear forms over finite fields and their association schemes
• Linear codes associated to determinantal varieties
• Linear codes associated to skew-symmetric determinantal varieties
• Orthogonal Matrices Over Finite Fields
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