EXPLICIT DETERMINATION OF CERTAIN MINIMAL ABELIAN CODES AND THEIR MINIMUM DISTANCES

DOI10.1142/S1793557112500027zbMath1278.94069OpenAlexW1970003336MaRDI QIDQ2911871

Ashwani K. Bhandari, Pooja Grover

Publication date: 3 September 2012

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557112500027

zbMATH Keywords

idempotentsgroup algebrasabelian codes

Mathematics Subject Classification ID

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

Related Items (1)

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Cites Work

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• Idempotents in group algebras and minimal abelian codes
• Classical codes as ideals in group algebras
• Weights of abelian codes
• Minimal codes of prime-power length.
• Minimal cyclic codes of length \(2p^n\)
• Minimal cyclic codes of length \(p^{n} q\).
• The primitive idempotents of a cyclic group algebra.
• Cyclotomic numbers and primitive idempotents in the ring \(\mathrm{GF}(q)[x/(x^{p^n} - 1)\)]
• Jacobi sums over finite fields
• Semisimple cyclic and Abelian codes. II
• Properties that characterize Gaussian periods and cyclotomic numbers

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