Left dihedral codes over Galois rings \(\mathrm{GR}(p^2, m)\)
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Publication:1744770
DOI10.1016/j.disc.2017.10.035zbMath1429.94098arXiv1609.04083OpenAlexW2964343853MaRDI QIDQ1744770
Sheng Wang, Yuan Cao, Fang-Wei Fu, Yong-Lin Cao
Publication date: 19 April 2018
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.04083
Related Items (6)
Negacyclic codes over the local ring \(\mathbb{Z}_4 [v / \langle v^2 + 2 v \rangle\) of oddly even length and their gray images] ⋮ Construction and enumeration of left dihedral codes satisfying certain duality properties ⋮ Idempotents of generalized quaternion group algebras and their applications ⋮ LCD codes and self-orthogonal codes in generalized dihedral group algebras ⋮ LCD codes and self-orthogonal codes in finite dihedral group algebras ⋮ Left dihedral codes over finite chain rings
Cites Work
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- Skew constacyclic codes over finite chain rings
- Generalized quasi-cyclic codes over Galois rings: structural properties and enumeration
- Structure of finite dihedral group algebra.
- Skew constacyclic codes over Galois rings
- Quaternary 1-generator quasi-cyclic codes
- Skew quasi-cyclic codes over Galois rings
- Negacyclic self-dual codes over finite chain rings
- A group ring construction of the \([48,24,12\) Type II linear block code]
- Coding with skew polynomial rings
- On quasi-cyclic codes over \({\mathbb{Z}_q}\)
- Cyclic codes over \(\text{GR}(p^2,m)\) of length \(p^k\)
- Skew-cyclic codes
- On the concatenated structure of a linear code
- On the structure of linear and cyclic codes over a finite chain ring
- 1-generator quasi-cyclic codes over finite chain rings
- Construction of minimal non-abelian left group codes
- On constacyclic codes over finite chain rings
- Repeated-root cyclic and negacyclic codes over a finite chain ring
- Concatenated structure of left dihedral codes
- Some randomized code constructions from group actions
- Cyclic and Negacyclic Codes Over Finite Chain Rings
- Complete Distances of All Negacyclic Codes of Length $2^{s}$ Over $\BBZ _{2^{a}}$
- Self-Dual Doubly Even $2$-Quasi-Cyclic Transitive Codes Are Asymptotically Good
- The Gray Image of Codes over Finite Chain Rings
- Codes as Modules over Skew Polynomial Rings
- A linear construction for certain Kerdock and Preparata codes
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- Hamming metric decoding of alternant codes over Galois rings
- Decoding a class of Lee metric codes over a Galois ring
- Quasi-cyclic codes over Z/sub 4/ and some new binary codes
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