Higher weights for the Lagrangian-Grassmannian codes

DOI10.1007/s40590-018-0219-5zbMath1477.14045OpenAlexW2896461406MaRDI QIDQ2010857

Jesús Carrillo-Pacheco, Felipe Zaldivar

Publication date: 28 November 2019

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-018-0219-5

zbMATH Keywords

algebraic geometry codeshigher weightsGrassmann codesLagrangian-Grassmannian codes

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) 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)

Related Items

Codes on linear sections of the Grassmannian

Cites Work

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• On Lagrangian-Grassmannian codes
• The minimum weight of the Grassmann codes C(k,n)
• The spectrum of codes associated with the Grassmannian variety \(G(3,6)\)
• Hyperplane sections of Grassmannians and the number of MDS linear codes
• A family of low density matrices in Lagrangian-Grassmannian
• The Weight Distribution of a Family of Lagrangian-Grassmannian Codes
• Generalized Hamming weights for linear codes
• Geometric approach to higher weights