Higher weights of anticodes and the generalized Griesmer bound.

DOI10.1006/ffta.1999.0259zbMath1034.94017OpenAlexW2000536525MaRDI QIDQ1808851

Dmitrii Yu. Nogin

Publication date: 1999

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

Full work available at URL: https://doi.org/10.1006/ffta.1999.0259

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Bounds on codes (94B65) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27)

Cites Work

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• The weight hierarchies of the projective codes from nondegenerate quadrics
• Generalized Hamming weights of codes on multi-dimensional quadrics
• Generalized Hamming weights of linear codes
• Codes satisfying the chain condition
• The weight hierarchy of higher dimensional Hermitian codes
• The weight hierarchies of q-ary codes of dimension 4
• Bounds on the weight hierarchies of linear codes of dimension 4
• Generalizations of the Griesmer bound
• Geometric approach to higher weights

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