Some cyclic codes of length \(2p^n\)
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Publication:634132
DOI10.1007/s10623-010-9438-0zbMath1229.94060OpenAlexW2043820574MaRDI QIDQ634132
Sudhir Batra, Suresh Kumar Arora
Publication date: 2 August 2011
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-010-9438-0
Group rings (16S34) Bounds on codes (94B65) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite fields (field-theoretic aspects) (12E20) Cyclic codes (94B15)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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 \(2^n\)
- The minimum distance of the [38,19 ternary extended QR-code is 11 (Corresp.)]
- On the minimum distance of some quadratic residue codes (Corresp.)
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