Explicit determination of certain minimal constabelian codes

DOI10.1016/j.ffa.2012.09.004zbMath1278.94071OpenAlexW2048062784MaRDI QIDQ690416

Ashwani K. Bhandari, Pooja Grover

Publication date: 27 November 2012

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2012.09.004

zbMATH Keywords

cocyclestwisted group algebrasconstacyclic codesconstabelian codesprimitive orthogonal idempotentsabelian \(p\)-groups

Mathematics Subject Classification ID

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

Related Items

Twisted group algebras of abelian groups, Generalized negacyclic codes over finite fields, Multidimensional quasi-twisted codes: equivalent characterizations and their relation to multidimensional convolutional codes, A note on the weight distribution of minimal constacyclic codes

Cites Work

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• The extended Golay codes considered as ideals
• An introduction to group rings
• Cyclotomic numbers and primitive idempotents in the ring \(\mathrm{GF}(q)[x/(x^{p^n} - 1)\)]
• Jacobi sums over finite fields
• Consta-Abelian Codes Over Galois Rings
• Consta-Abelian Polyadic Codes
• Full-diversity, high-rate space-time block codes from division algebras
• Information-Lossless Space–Time Block Codes From Crossed-Product Algebras
• Semisimple cyclic and Abelian codes. II
• Properties that characterize Gaussian periods and cyclotomic numbers
• On the Semisimplicity of Twisted Group Algebras
• Abelian Group Algebras of Finite Order