Automorphisms of Hermitian generalized algebraic geometry codes

DOI10.1016/J.JPAA.2015.10.008zbMath1330.14040OpenAlexW2190467567MaRDI QIDQ899567

Alberto Picone

Publication date: 30 December 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2015.10.008

zbMATH Keywords

generalized algebraic geometry codesadmissible function fieldsHermitian function fieldsn-automorphisms

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (4)

New lower bounds for the minimum distance of generalized algebraic geometry codes ⋮ On the automorphisms of generalized algebraic geometry codes ⋮ A subclass of \(q^m\)-ary Reed-Solomon codes and decoding of some rational GAG-codes ⋮ Automorphisms of hyperelliptic GAG-codes

Uses Software

• Magma

Cites Work

• Unnamed Item
• On the classification of algebraic function fields of class number three
• On automorphisms of generalized algebraic-geometry codes
• The Magma algebra system. I: The user language
• New lower bounds for the minimum distance of generalized algebraic geometry codes
• Asymptotically good codes from generalized algebraic-geometry codes
• On the automorphism group of various Goppa codes
• A generalization of algebraic-geometry codes
• Automorphisms of hyperelliptic GAG-codes
• Automorphisms of hyperelliptic GAG-codes

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