On some constacyclic codes over the ring \(\mathbb{F}_{p^m} [u] \slash \langle u^4 \rangle\)
From MaRDI portal
Publication:1783624
DOI10.1016/j.disc.2018.07.024zbMath1408.94987OpenAlexW2886586679MaRDI QIDQ1783624
Publication date: 21 September 2018
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.disc.2018.07.024
Related Items (1)
The homogeneous distance of \((1+u^2)\)-constacyclic codes over \(\mathbb{F}_2[u/\langle u^3\rangle\) and its applications]
Cites Work
- Repeated-root constacyclic codes of prime power length over \(\frac{\mathbb{F}_{p^m} [u}{\langle u^a \rangle}\) and their duals]
- Constacyclic codes of length \(p^s\) over \(\mathbb F_{p^m} + u\mathbb F_{p^m}\)
- A note on cyclic codes over \(\mathrm{GR}(p^{2},m)\) of length \(p^{k}\)
- Cyclic codes over \(\text{GR}(p^2,m)\) of length \(p^k\)
- On \((1 - u)\)-cyclic codes over \(\mathbb F_{p^k}+u\mathbb F_{p^k}\)
- Applications of coding theory to the construction of modular lattices
- Codes over \(\mathbb F_{3} + u\mathbb F_{3}\) and improvements to the bounds on ternary linear codes
- 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 the decomposition of self-dual codes over \(\mathbb F_2 + u\mathbb F_2\) with an automorphism of odd prime order
- (1 + u) constacyclic and cyclic codes over \(F_{2} + uF_{2}\)
- Cyclic codes over the rings \(\mathbb Z_2 + u\mathbb Z_2\) and \(\mathbb Z_2 + u\mathbb Z_2 + u^2 \mathbb Z_2\)
- Complete classification of \((\delta + \alpha u^2)\)-constacyclic codes over \(\mathbb{F}_{2^m} [u/\langle u^4 \rangle\) of oddly even length]
- Constructing formally self-dual codes over \(R_k\)
- On constacyclic codes over finite chain rings
- \((1+\lambda u)\)-constacyclic codes over \(\mathbb F_{p}[u/\langle u^m\rangle\)]
- Repeated-root cyclic and negacyclic codes over a finite chain ring
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- Construction of optimal Type IV self-dual codes over F/sub 2/+uF/sub 2/
- New linear codes over F/sub 5/ obtained by tripling method and improvements on bounds
- Type II codes over F/sub 2/+uF/sub 2/
- Constacyclic Codes of Length $2^s$ Over Galois Extension Rings of ${\BBF}_{2}+u{\BBF}_2$
- New linear codes over \(\mathbb{F}_3\) and \(\mathbb{F}_5\) and improvements on bounds
This page was built for publication: On some constacyclic codes over the ring \(\mathbb{F}_{p^m} [u] \slash \langle u^4 \rangle\)
