Weight distribution of Hermitian codes and matrices rank

DOI10.1016/j.ffa.2019.101578zbMath1427.94107OpenAlexW2972277570MaRDI QIDQ2007709

Marco Pellegrini, Massimiliano Sala

Publication date: 22 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2019.101578

zbMATH Keywords

weight distributionrankHermitian curveHermitian code

Mathematics Subject Classification ID

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

A formula on the weight distribution of linear codes with applications to AMDS codes ⋮ The weight distribution of codes over finite chain rings

Uses Software

• Magma

Cites Work

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• On the Hermitian curve and its intersections with some conics
• The dual minimum distance of arbitrary-dimensional algebraic-geometric codes
• On the small-weight codewords of some Hermitian codes
• The Magma algebra system. I: The user language
• On the structure of Hermitian codes
• On codes from norm-trace curves
• On the intersection of a Hermitian curve with a conic
• Minimum-weight codewords of the Hermitian codes are supported on complete intersections
• GRÖBNER BASIS TECHNIQUES TO COMPUTE WEIGHT DISTRIBUTIONS OF SHORTENED CYCLIC CODES
• A note on Hermitian codes over GF(q/sup 2/)
• Weight distributions of geometric Goppa codes
• On automorphism groups of the Hermitian codes
• The Weight Hierarchy of Hermitian Codes

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