A note on the weight spectrum of the Schubert code \(C_{\alpha }(2, m)\)

DOI10.1007/s10623-018-0477-2zbMath1444.94130OpenAlexW2794724414MaRDI QIDQ1801097

Fernando L. Piñero, Prasant Singh

Publication date: 26 October 2018

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-018-0477-2

zbMATH Keywords

algebraic-geometric codesGrassmanniansSchubert varieties

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 (2)

The weight spectrum of certain affine Grassmann codes ⋮ Unnamed Item

Uses Software

• SageMath

Cites Work

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• The structure of dual Grassmann codes
• On the linear codes arising from Schubert varieties
• Schubert varieties, linear codes and enumerative combinatorics.
• The spectrum of codes associated with the Grassmannian variety \(G(3,6)\)
• Minimum distance and the minimum weight codewords of Schubert codes
• Linear codes associated to determinantal varieties
• Weight Spectrum of Codes Associated With the Grassmannian <formula formulatype="inline"><tex Notation="TeX">$G(3,7)$</tex></formula>
• Schubert Calculus
• On the Minimum Distance Conjecture for Schubert Codes
• On the minimum distances of Schubert codes

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