On checkable codes in group algebras

DOI10.1142/S0219498822501250OpenAlexW3128916341MaRDI QIDQ5863515

Martino Borello, Javier de la Cruz, Wolfgang Willems

Publication date: 1 June 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.10979

zbMATH Keywords

group algebragroup codeprincipal ideal algebras

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items

Asymptotic performance of metacyclic codes, A note on checkable codes over Frobenius and quasi-Frobenius rings

Uses Software

• Magma
• McEliece

Cites Work

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• Codes of small defect
• A new presentation of Cheng-Sloane's \([32,17,8\)-code]
• A [45,13 code with minimal distance 16]
• The extended Golay codes considered as ideals
• The Magma algebra system. I: The user language
• On group codes with complementary duals
• Group codes over fields are asymptotically good
• Dihedral codes with prescribed minimum distance
• Representation theory. A homological algebra point of view.
• The structure of serial rings
• On the annihilator ideals of the radical of a group algebra
• Abelian Codes in Principal Ideal Group Algebras
• Some randomized code constructions from group actions
• A Group Ring Construction of the Extended Binary Golay Code
• Reducing Key Length of the McEliece Cryptosystem
• Une generalisation de la construction de berman des codes de reed et muller p-aires
• Observations on group rings
• A note on self-dual group codes
• On the theory of group codes