Primitive idempotents of cyclic codes of length \(p\) and 2\(p\)

DOI10.1007/s12190-017-1163-7zbMath1414.94937OpenAlexW2785750300MaRDI QIDQ1786982

Rekha Mathur, Sudhir Batra

Publication date: 25 September 2018

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-017-1163-7

zbMATH Keywords

primitive idempotentscyclotomic numberscyclic codescyclotomic cosets

Mathematics Subject Classification ID

Finite fields (field-theoretic aspects) (12E20) Cyclic codes (94B15) Cyclotomy (11T22)

Cites Work

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• Some cyclic codes of length \(2p^n\)
• Idempotents in group algebras and minimal abelian codes
• Minimal codes of prime-power length.
• Minimal cyclic codes of length \(2p^n\)
• Cyclic codes of length \(2^m\)
• Minimal cyclic codes of length \(p^{n} q\).
• The primitive idempotents of a cyclic group algebra.
• Minimal quadratic residue cyclic codes of length \(2^n\)
• Cyclotomic numbers and primitive idempotents in the ring \(\mathrm{GF}(q)[x/(x^{p^n} - 1)\)]
• Cyclotomy and duadic codes of prime lengths

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