$G$-Equivalence in Group Algebras and Minimal Abelian Codes
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Publication:5346156
DOI10.1109/TIT.2013.2284211zbMath1364.94693arXiv1203.5742OpenAlexW2963721706MaRDI QIDQ5346156
Marinês Guerreiro, Raul Antonio Ferraz, Francisco César Polcino Milies
Publication date: 8 June 2017
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.5742
Group rings (16S34) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)
Related Items (10)
On equivalent classes of minimal abelian codes ⋮ A characterization of abelian group codes in terms of their parameters ⋮ On equivalence of cyclic and dihedral zero-divisor codes having nilpotents of nilpotency degree two as generators ⋮ On the dimension of ideals in group algebras, and group codes ⋮ Group algebras and coding theory ⋮ Unnamed Item ⋮ On the number of non-G-equivalent minimal abelian codes ⋮ Essential idempotents and codes of constant weight ⋮ One-weight codes in some classes of group rings ⋮ Essential idempotents in group algebras and coding theory
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