λ-Mapping and Primitive Idempotents in Semisimple Ring ℜm

DOI10.1080/00927872.2012.674590zbMath1290.12002OpenAlexW2090754662MaRDI QIDQ2850817

Pankaj Kumar, Suresh Kumar Arora

Publication date: 30 September 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.674590

zbMATH Keywords

primitive idempotentscyclotomic cosets\(\lambda\)-mapping\(\lambda\)-product

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite fields (field-theoretic aspects) (12E20) Cyclic codes (94B15)

Related Items (7)

On constacyclic codes over finite fields ⋮ Idempotents Generators for Minimal Cyclic Codes of Length p n q ⋮ The weight distributions of irreducible cyclic codes of length 2npm ⋮ Group algebras and coding theory ⋮ Unnamed Item ⋮ Cyclotomic cosets and primitive idempotents in semisimple ring ⋮ Minimum distance and idempotent generators of minimal cyclic codes of length ${p_1}^{\alpha_1}{p_2}^{\alpha_2}{p_3}^{\alpha_3}$

Cites Work

• Idempotents in group algebras and minimal abelian codes
• Minimal codes of prime-power length.
• Minimal cyclic codes of length \(2p^n\)
• Cyclotomic numbers and primitive idempotents in the ring \(\mathrm{GF}(q)[x/(x^{p^n} - 1)\)]
• Unnamed Item
• Unnamed Item

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