\((\theta, \delta_\theta)\)-cyclic codes over \(\mathbb{F}_q[u,v] / \langle u^2-u, v^2-v, uv-vu \rangle\)
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Publication:2109394
DOI10.1007/S10623-021-00964-7zbMath1506.94098OpenAlexW3216612254MaRDI QIDQ2109394
Publication date: 21 December 2022
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-021-00964-7
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Ordinary and skew polynomial rings and semigroup rings (16S36) Computational aspects of associative rings (general theory) (16Z05) Cyclic codes (94B15)
Related Items (3)
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
Uses Software
Cites Work
- Unnamed Item
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- \((\sigma, \delta)\)-codes
- 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 skew cyclic codes over \(\mathbb F_3\) + \(v\mathbb F_3\)
- Skew-cyclic codes
- A class of skew-cyclic codes over \(\mathbb{Z}_4+u\mathbb{Z}_4\) with derivation
- Cyclic codes and \(\lambda_1 + \lambda_2 u + \lambda_3 v + \lambda_4 u v\)-constacyclic codes over \(\mathbb{F}_p + u \mathbb{F}_p + v \mathbb{F}_p + u v \mathbb{F}_p\)
- 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 family of constacyclic codes over \(\mathbb{F}_{ p^m} [\upsilon, w/\langle \upsilon^2 - 1, w^2 - 1, \upsilon w - w \upsilon \rangle \)]
- New \(\mathbb{Z}_4\) codes from constacyclic codes over a non-chain ring
- \(( \sigma, \delta )\)-skew quasi-cyclic codes over the ring \(\mathbb{Z}_4+u\mathbb{Z}_4 \)
- Cyclic codes over a non-chain ring \(R_{e,q}\) and their application to LCD codes
- New quantum codes from skew constacyclic codes over a class of non-chain rings \(R_{e, q}\)
- Construction and enumeration for self-dual cyclic codes of even length over \(\mathbb{F}_{2^m} + u \mathbb{F}_{2^m} \)
- Linear codes using skew polynomials with automorphisms and derivations
- A class of linear codes of length 2 over finite chain rings
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- Fundamentals of Error-Correcting Codes
- Skew cyclic codes over Fq + uFq + vFq
- A note on skew constacyclic codes over 𝔽q + u𝔽q + v𝔽q
- Skew cyclic codes over 𝔽q[u,v,w/〈u2 − 1,v2 − 1,w2 − 1,uv − vu,vw − wv,wu − uw〉]
- On the Construction of Skew Quasi-Cyclic Codes
- SKEW CYCLIC CODES OVER Fp+ vFp
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