The syndromes decoding algorithm in group codes

DOI10.1016/j.ffa.2023.102206zbMath1522.94116OpenAlexW4365505970MaRDI QIDQ6156920

Consuelo Martínez, Unnamed Author

Publication date: 19 June 2023

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2023.102206

zbMATH Keywords

group algebralinear codesemisimple algebradecoding algorithmgroup code

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Decoding (94B35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• New examples of non-abelian group codes
• Enhanced public key security for the McEliece cryptosystem
• Distinguisher-based attacks on public-key cryptosystems using Reed-Solomon codes
• An intrinsical description of group codes
• A reaction attack on the QC-LDPC McEliece cryptosystem
• McEliece public key cryptosystems using algebraic-geometric codes
• When are all group codes of a noncommutative group abelian (a computational approach)?
• Reducing the key size of McEliece cryptosystem from automorphism-induced Goppa codes via permutations
• Non-abelian group codes over an arbitrary finite field
• How to mask the structure of codes for a cryptographic use
• GROUP CODES OVER NON-ABELIAN GROUPS
• Algebraic Attack against Variants of McEliece with Goppa Polynomial of a Special Form
• Cryptanalysis of the Niederreiter Public Key Scheme Based on GRS Subcodes
• Reducing Key Length of the McEliece Cryptosystem
• A public-key cryptosystem based on binary Reed-Muller codes
• On the edge-independence number and edge-covering number for regular graphs
• Compact McEliece keys based on quasi-dyadic Srivastava codes
• Cryptanalysis of the Sidelnikov Cryptosystem
• Public Key Cryptography - PKC 2006