Higher Grassmann codes

DOI10.1016/j.ffa.2021.101905OpenAlexW3194714871MaRDI QIDQ2238915

Roy Joshua, Mahir Bilen Can, Girivaru V. Ravindra

Publication date: 2 November 2021

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2021.101905

zbMATH Keywords

Grassmann codesprojective systemsparameters of a code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Rational points (14G05) 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

Higher Grassmann codes. II

Cites Work

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• The parameters of projective Reed-Müller codes
• The minimum weight of the Grassmann codes C(k,n)
• Schubert varieties, linear codes and enumerative combinatorics.
• On the modular representations of the general linear and symmetric groups
• Hyperplane sections of Grassmannians and the number of MDS linear codes
• Error-correcting codes from higher-dimensional varieties
• Codes from flag varieties over a finite field
• On a conjecture of Tsfasman and an inequality of Serre for the number of points on hypersurfaces over finite fields
• Projective Reed-Muller codes
• Lectures on the Geometry of Flag Varieties