Good codes from metacyclic groups

DOI10.1090/conm/727/14623zbMath1469.94170OpenAlexW2936981978MaRDI QIDQ5239114

Samir Assuena, Francisco César Polcino Milies

Publication date: 22 October 2019

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/727/14623

zbMATH Keywords

finite groupsprimitive idempotentssemisimple group algebrassplit metacyclic groupsleft codes

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Other types of codes (94B60)

Related Items (8)

Good codes from metacyclic groups II ⋮ Construction and enumeration of left dihedral codes satisfying certain duality properties ⋮ Codes from dihedral 2-groups ⋮ Codes defined over dihedral groups of order \(2p^r\) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Essential idempotents in group algebras and coding theory ⋮ Hermitian duality of left dihedral codes over finite fields

Uses Software

• Code Tables

Cites Work

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• Idempotents in group algebras and minimal abelian codes
• An introduction to group rings
• Metacyclic error-correcting codes
• Semisimple metacyclic group algebras.
• Construction of minimal non-abelian left group codes
• Searching for linear codes with large minimum distance
• Units of Integral Group Rings of Some Metacyclic Groups

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