Constacyclic codes over \(\mathbb{F}_{p^m}[u_1, u_2, \cdots, u_k]/\langle u_i^2 = u_i, u_i u_j = u_j u_i \rangle\)
From MaRDI portal
Publication:1647360
DOI10.1515/MATH-2018-0045zbMath1391.94859OpenAlexW2802420917MaRDI QIDQ1647360
Publication date: 26 June 2018
Published in: Open Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/math-2018-0045
Related Items (3)
On the regulator problem for linear systems over rings and algebras ⋮ New quantum codes from constacyclic codes over the ring \(R_{k,m}\) ⋮ Non-binary quantum codes from constacyclic codes over \(\mathbb{F}_q[u_1, u_2,\dots,u_k/\langle u_i^3 = u_i, u_i u_j = u_j u_i \rangle\)]
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The depth spectrums of constacyclic codes over finite chain rings
- Codes over \(R_k\), Gray maps and their binary images
- Repeated-root constacyclic codes of length
- Constacyclic codes over finite fields
- Constacyclic codes of length \(2p^{s}\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\)
- Some results on linear codes over the ring \(\mathbb {Z}_4+u\mathbb {Z}_4+v\mathbb {Z}_4+uv\mathbb {Z}_4\)
- Cyclic codes and \(\lambda_1 + \lambda_2 u + \lambda_3 v + \lambda_4 u v\)-constacyclic codes over \(\mathbb{F}_p + u \mathbb{F}_p + v \mathbb{F}_p + u v \mathbb{F}_p\)
- Structure of repeated-root constacyclic codes of length \(3p^s\) and their duals
- Repeated-root constacyclic codes of length \(2 \ell^m p^n\)
- Codes over an infinite family of rings with a Gray map
- Constacyclic codes over \(\mathbb F_2 + u\mathbb F_2\)
- Complete classification of \((\delta + \alpha u^2)\)-constacyclic codes of length \(p^k\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m} + u^2 \mathbb{F}_{p^m}\)
- On constacyclic codes over finite chain rings
- \((1+\lambda u)\)-constacyclic codes over \(\mathbb F_{p}[u/\langle u^m\rangle\)]
- Cyclic and negacyclic codes of length \(2p^s\) over \(\mathbb F_{p^m}+u\mathbb F_{p^m}\)
- Cyclic and some constacyclic codes over the ring \(\frac{\mathbb{Z}_4 [u}{\langle u^2 - 1 \rangle}\)]
- Cyclic and Negacyclic Codes Over Finite Chain Rings
- Repeated root constacyclic codes of length mps over 𝔽pr + u𝔽pr + ⋯ + ue-1𝔽pr
This page was built for publication: Constacyclic codes over \(\mathbb{F}_{p^m}[u_1, u_2, \cdots, u_k]/\langle u_i^2 = u_i, u_i u_j = u_j u_i \rangle\)