Cyclotomic cosets and primitive idempotents in semisimple ring

DOI10.1080/00927872.2019.1570234zbMath1443.94105OpenAlexW2929250197MaRDI QIDQ4967395

Pinki Devi, Pankaj Kumar

Publication date: 3 July 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2019.1570234

zbMATH Keywords

primitive idempotentscyclotomic cosets\(\lambda\)-mapping

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Cyclic codes (94B15)

Cites Work

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• Some cyclic codes of length \(2p^n\)
• Primitive idempotents and generator polynomials of some minimal cyclic codes of length \({p^n}{q^m}\)
• Idempotents in group algebras and minimal abelian codes
• Minimal cyclic codes of length \(p^{n} q\).
• Cyclotomic numbers and primitive idempotents in the ring \(\mathrm{GF}(q)[x/(x^{p^n} - 1)\)]
• λ-Mapping and Primitive Idempotents in Semisimple Ring ℜ_m

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