On the dimension of ideals in group algebras, and group codes

DOI10.1142/S0219498822500244zbMath1486.20003arXiv2002.06407OpenAlexW3088905469MaRDI QIDQ5073305

E. J. García-Claro, Horacio Tapia-Recillas

Publication date: 6 May 2022

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

Full work available at URL: https://arxiv.org/abs/2002.06407

zbMATH Keywords

group algebrasgroup codesprimitive idempotentsprincipal idealsMDS group codes

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Other types of codes (94B60)

Related Items

On ideals in group algebras: an uncertainty principle and the Schur product

Uses Software

• SageMath

Cites Work

• An introduction to group rings
• On group codes with complementary duals
• Simple components and central units in group algebras.
• Dihedral codes with prescribed minimum distance
• On sets of vectors of a finite vector space in which every subset of basis size is a basis
• Abelian Codes in Principal Ideal Group Algebras
• Simple Components of the Center ofFG/J(FG)
• On cyclic MDS codes of length q over GF(q) (Corresp.)
• Fundamentals of Error-Correcting Codes
• Split group codes
• COMPUTING THE DIMENSION OF IDEALS IN GROUP ALGEBRAS, WITH AN APPLICATION TO CODING THEORY
• $G$-Equivalence in Group Algebras and Minimal Abelian Codes
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