Metacyclic error-correcting codes

DOI10.1007/BF01195337zbMath0823.94017MaRDI QIDQ1842609

Roberta Evans Sabin, S. J. jun. Lomonaco

Publication date: 6 November 1995

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

zbMATH Keywords

group codeserror-correcting codescombinatorial equivalencealgebraic codesmetacyclic codesmetacyclic groups of odd ordernon-abelian codes

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Bounds on codes (94B65) Cyclic codes (94B15)

Related Items

Good codes from metacyclic groups II, Wedderburn decomposition of finite group algebras., Group algebras and coding theory, Unnamed Item, Asymptotic performance of metacyclic codes, Group of units of finite group algebras for groups of order 24, Nilpotent group codes, Essential idempotents and codes of constant weight, Codes defined over dihedral groups of order \(2p^r\), Finite group algebras of nilpotent groups: a complete set of orthogonal primitive idempotents., A [45,13 code with minimal distance 16], Classic and Quantum Error Correcting Codes, On minimum distance bounds for abelian codes, Some constructions of linearly optimal group codes, Finite Rings with Applications, Unnamed Item, One-weight codes in some classes of group rings, An intrinsical description of group codes, Essential idempotents in group algebras and coding theory, Good codes from metacyclic groups, Hermitian duality of left dihedral codes over finite fields, Construction of minimal non-abelian left group codes, On row-cyclic codes with algebraic structure

Cites Work

• Codes From Symmetry Groups, and a $[32, 17, 8$ Code]
• On the Reduction of Induced Representations of Finite Groups
• An updated table of minimum-distance bounds for binary linear codes
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