Higher Grassmann codes. II

DOI10.1016/j.ffa.2023.102211zbMath1528.94118MaRDI QIDQ6156925

Roy Joshua, Mahir Bilen Can, Girivaru V. Ravindra

Publication date: 19 June 2023

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

zbMATH Keywords

parameters of a codehigher Grassmann codes

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)

Related Items (1)

Defects of codes from higher dimensional algebraic varieties

Cites Work

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• Introduction to the theory of standard monomials. With notes by Peter Littelmann and Pradeep Shukla. Appendix by V. Lakshmibai
• The parameters of projective Reed-Müller codes
• The minimum weight of the Grassmann codes C(k,n)
• Advanced determinant calculus
• Higher Grassmann codes
• Bruhat lattices, plane partition generating functions, and minuscule representations
• Projective Reed-Muller codes
• A note on Nullstellensatz over finite fields
• New generalizations of the Reed-Muller codes--I: Primitive codes
• On generalized ReedMuller codes and their relatives
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]

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