Irreducible cyclic codes of length \(4p^n\) and \(8p^n\)

DOI10.1016/j.ffa.2015.01.009zbMath1392.94930OpenAlexW2022647331MaRDI QIDQ2348173

Qin Yue, Fengwei Li, Chengju Li

Publication date: 10 June 2015

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2015.01.009

zbMATH Keywords

finite fieldirreducible cyclic codeprimitive idempotent

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Polynomials over finite fields (11T06) Cyclic codes (94B15)

Related Items (11)

Weight enumerators of reducible cyclic codes and their dual codes ⋮ A class of minimal cyclic codes over finite fields ⋮ Primitive idempotents of irreducible cyclic codes of length \(n\) ⋮ The primitive idempotents and weight distributions of irreducible constacyclic codes ⋮ Primitive idempotents of irreducible cyclic codes and self-dual cyclic codes over Galois rings ⋮ A reduction theorem for the existence of \(\ast\)-clean finite group rings ⋮ Unnamed Item ⋮ Further factorization of \(x^n - 1\) over a finite field ⋮ Unnamed Item ⋮ New \(\ast\)-clean finite group rings under the conjugate involution ⋮ Further factorization of xn − 1 over a finite field (II)

Cites Work

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• 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 primitive idempotents of a cyclic group algebra. II.
• A class of minimal cyclic codes over finite fields

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