Enumeration formulas for self-dual cyclic codes
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Publication:324259
DOI10.1016/j.ffa.2016.06.007zbMath1364.94650OpenAlexW2492526714MaRDI QIDQ324259
Bocong Chen, San Ling, Guang-Hui Zhang
Publication date: 10 October 2016
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ffa.2016.06.007
Related Items (14)
Self-conjugate-reciprocal irreducible monic factors of \(x^{n}-1\) over finite fields and their applications ⋮ Enumeration of self-dual cyclic codes of some specific lengths over finite fields ⋮ Unnamed Item ⋮ New EAQEC codes from cyclic codes over \(\mathbb{F}_q + u\mathbb{F}_q\) ⋮ New quantum codes from self-orthogonal cyclic codes over \(\mathbb{F}_{q^2}[u/\langle u^k \rangle\)] ⋮ Quantum synchronizable codes from finite rings ⋮ Quantum codes from linear codes over finite chain rings ⋮ Construction of self-dual MDR cyclic codes over finite chain rings ⋮ On self-duality and hulls of cyclic codes over \(\frac{\mathbb{F}_{2^m}[u}{\langle u^k\rangle}\) with oddly even length] ⋮ Primitive idempotents of irreducible cyclic codes and self-dual cyclic codes over Galois rings ⋮ Construction and enumeration for self-dual cyclic codes of even length over \(\mathbb{F}_{2^m} + u \mathbb{F}_{2^m} \) ⋮ Self-reciprocal and self-conjugate-reciprocal irreducible factors of \(x^n - \lambda\) and their applications ⋮ Some arithmetical properties of cyclotomic cosets and their applications ⋮ SRIM and SCRIM factors of xn + 1 over finite fields and their applications
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