\(( \sigma, \delta )\)-skew quasi-cyclic codes over the ring \(\mathbb{Z}_4+u\mathbb{Z}_4 \)
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Publication:2040353
DOI10.1007/s12095-020-00467-7zbMath1469.94154OpenAlexW3118749289MaRDI QIDQ2040353
Publication date: 13 July 2021
Published in: Cryptography and Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12095-020-00467-7
Related Items (6)
\(\mathbb{F}_qR\)-linear skew cyclic codes ⋮ On the algebraic structure of \((M, \sigma, \delta)\)-skew codes ⋮ 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 ⋮ \((\theta, \delta_\theta)\)-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
- \((\sigma, \delta)\)-codes
- Some new binary quasi-cyclic codes from codes over the ring \(\mathbb F_2 + u\mathbb F_2 + v\mathbb F_2 + uv\mathbb F_2\)
- Skew cyclic codes of arbitrary length
- Skew constacyclic codes over Galois rings
- Skew quasi-cyclic codes over Galois rings
- 1-generator quasi-cyclic and generalized quasi-cyclic codes over the ring \(\frac{\mathbb Z_4[u}{\langle u^2 - 1\rangle}\)]
- Skew-cyclic codes
- The Magma algebra system. I: The user language
- A class of skew-cyclic codes over \(\mathbb{Z}_4+u\mathbb{Z}_4\) with derivation
- Pseudo linear transformations and evaluation in Ore extensions
- \(\mathbb{Z}_p \mathbb{Z}_p[v\)-additive cyclic codes are asymptotically good]
- Some classes of linear codes over \(\mathbb {Z}_4+v\mathbb {Z}_4\) and their applications to construct good and new \(\mathbb {Z}_4\)-linear codes
- On constacyclic codes over \(\mathbb{Z}_4 [u / \langle u^2 - 1 \rangle\) and their Gray images]
- Some properties of skew codes over finite fields
- Linear codes using skew polynomials with automorphisms and derivations
- Cyclic and some constacyclic codes over the ring \(\frac{\mathbb{Z}_4 [u}{\langle u^2 - 1 \rangle}\)]
- NONCOMMUTATIVE POLYNOMIAL MAPS
- Codes as Modules over Skew Polynomial Rings
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- New ternary quasi-cyclic codes with better minimum distances
- On the algebraic structure of quasi-cyclic codes .I. Finite fields
- Quasi-cyclic codes over Z/sub 4/ and some new binary codes
- On the Construction of Skew Quasi-Cyclic Codes
- Skew quasi cyclic codes over 𝔽q + v𝔽q
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