A class of skew-cyclic codes over \(\mathbb{Z}_4+u\mathbb{Z}_4\) with derivation
From MaRDI portal
Publication:1620971
DOI10.3934/amc.2018043zbMath1402.94093OpenAlexW2892680920MaRDI QIDQ1620971
Publication date: 15 November 2018
Published in: Advances in Mathematics of Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/amc.2018043
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Polynomials in real and complex fields: factorization (12D05) Cyclic codes (94B15)
Related Items (6)
Linear codes and cyclic codes over finite rings and their generalizations: a survey ⋮ \((x^n - (a+bw), \xi, \eta)\)-skew constacyclic codes over \(\mathbb{F}_q + w\mathbb{F}_q\) and their applications in quantum codes ⋮ \(( \sigma, \delta )\)-skew quasi-cyclic codes over the ring \(\mathbb{Z}_4+u\mathbb{Z}_4 \) ⋮ A class of constacyclic codes and skew constacyclic codes over \(\mathbb{Z}_{2^s}+u\mathbb{Z}_{2^s}\) and their Gray images ⋮ \((\theta, \delta_\theta)\)-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
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- 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
- On cyclic codes over \(\mathbb{Z}_4\) + \(u\mathbb{Z}_4\) and their \(\mathbb{Z}_4\)-images
- Skew-cyclic codes
- On the classification of \(\mathbb{Z}_4\)-codes
- Linear codes over \(\mathbb Z_4+u\mathbb Z_4\): MacWilliams identities, projections, and formally self-dual codes
- On constacyclic codes over \(\mathbb{Z}_4 [u / \langle u^2 - 1 \rangle\) and their Gray images]
- Linear codes using skew polynomials with automorphisms and derivations
- Cyclic and some constacyclic codes over the ring \(\frac{\mathbb{Z}_4 [u}{\langle u^2 - 1 \rangle}\)]
- Codes as Modules over Skew Polynomial Rings
- Codes over integer residue rings
- Codes over Zm
- Codes over Zm, revisited
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- Maximum distance codes over rings of order 4
- Codes over certain rings
This page was built for publication: A class of skew-cyclic codes over \(\mathbb{Z}_4+u\mathbb{Z}_4\) with derivation
