A note on skew constacyclic codes over 𝔽q + u𝔽q + v𝔽q
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Publication:4968277
DOI10.1142/S1793830919500307zbMath1418.94074OpenAlexW2939787040MaRDI QIDQ4968277
Publication date: 12 July 2019
Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793830919500307
skew polynomial ringgray mapskew constacyclic codequasi-twisted codeidempotent generatornon-chain ring
Related Items (10)
On the structure of cyclic codes over \(M_2(\mathbb{F}_{p}+u\mathbb{F}_{p})\) ⋮ Self-dual and LCD double circulant and double negacirculant codes over \({\mathbb{F}}_q+u{\mathbb{F}}_q+v{\mathbb{F}}_q\) ⋮ Unnamed Item ⋮ Self-dual and LCD double circulant codes over a class of non-local rings ⋮ Constacyclic and skew constacyclic codes over a finite commutative non-chain ring ⋮ New quantum codes from skew constacyclic codes over a class of non-chain rings \(R_{e, q}\) ⋮ New \(\mathbb{Z}_4\) codes from constacyclic codes over a non-chain ring ⋮ A family of constacyclic codes over a class of non-chain rings \({\mathcal{A}}_{q,r}\) and new quantum codes ⋮ \((\theta, \delta_\theta)\)-cyclic codes over \(\mathbb{F}_q[u,v / \langle u^2-u, v^2-v, uv-vu \rangle\)] ⋮ \((f, \sigma, \delta)\)-skew polycyclic codes and their applications to quantum codes
Cites Work
- Skew constacyclic codes over finite chain rings
- Construction of skew cyclic codes over \(\mathbb F_q+v\mathbb F_q\)
- Skew cyclic codes of arbitrary length
- Skew constacyclic codes over Galois rings
- Skew quasi-cyclic codes over Galois rings
- Coding with skew polynomial rings
- Skew-cyclic codes
- Skew cyclic and skew \((\alpha_1 + u\alpha_2 + v\alpha_3 + uv\alpha_4)\)-constacyclic codes over \(\mathbb F_q + u\mathbb F_q + v\mathbb F_q + uv\mathbb F_q\)
- A study of cyclic and constacyclic codes over \(\mathbb Z_{4} + u\mathbb Z_{4} + v\mathbb Z_{4}\)
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- On the Construction of Skew Quasi-Cyclic Codes
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