A note on cyclic codes over GR\((p^2,m)\) of length \(p^k\)
From MaRDI portal
Publication:1017420
DOI10.1016/j.ffa.2009.01.004zbMath1165.94010OpenAlexW2029707928MaRDI QIDQ1017420
Publication date: 19 May 2009
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ffa.2009.01.004
Related Items (13)
On self-dual cyclic codes of length \(p^a\) over \(\mathrm{GR}(p^2,s)\) ⋮ Lee weights of cyclic self-dual codes over Galois rings of characteristic \(p^2\) ⋮ An explicit expression for Euclidean self-dual cyclic codes of length \(2^k\) over Galois ring \(\mathrm{GR}(4,m)\) ⋮ Unnamed Item ⋮ On self-dual constacyclic codes of length \(p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\) ⋮ An explicit expression for all distinct self-dual cyclic codes of length \(p^k\) over Galois ring \(\mathrm{GR}(p^2,m)\) ⋮ Cyclic codes over a non-commutative finite chain ring ⋮ A note on cyclic codes over \(\mathrm{GR}(p^{2},m)\) of length \(p^{k}\) ⋮ Repeated-root constacyclic codes over \(\mathbb{F}_2 + u \mathbb{F}_2 + v \mathbb{F}_2 + u v \mathbb{F}_2\) ⋮ Classification of self-dual cyclic codes over the chain ring \(\mathbb Z_p[u/\langle u^3 \rangle \)] ⋮ Left dihedral codes over finite chain rings ⋮ Classification of cyclic codes over a non-Galois chain ring \(\mathbb{Z}_p [u / \langle u^3 \rangle\)] ⋮ Complete classification of \((\delta + \alpha u^2)\)-constacyclic codes of length \(p^k\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m} + u^2 \mathbb{F}_{p^m}\)
Cites Work
- On modular cyclic codes
- Cyclic codes over \(\text{GR}(p^2,m)\) of length \(p^k\)
- Cyclic codes over \(\mathbb{Z}_{4}\) of oddly even length.
- Cyclic codes over \(\mathbb Z_4\) of even length
- On the generators of Z/sub 4/ cyclic codes of length 2/sup e/
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
This page was built for publication: A note on cyclic codes over GR\((p^2,m)\) of length \(p^k\)
