\(\mathbb{F}_qR\)-linear skew constacyclic codes and their application of constructing quantum codes
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Publication:2681523
DOI10.1007/s11128-020-02700-xOpenAlexW3026582440MaRDI QIDQ2681523
Publication date: 3 February 2023
Published in: Quantum Information Processing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11128-020-02700-x
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cyclic codes (94B15) Quantum coding (general) (81P70)
Related Items (11)
\(\mathbb{F}_qR\)-linear skew cyclic codes ⋮ \(\mathbb{Z}_2\mathbb{Z}_2[u^4\)-cyclic codes and their duals] ⋮ \((x^n - (a+bw), \xi, \eta)\)-skew constacyclic codes over \(\mathbb{F}_q + w\mathbb{F}_q\) and their applications in quantum codes ⋮ New quantum codes from constacyclic and additive constacyclic codes ⋮ Non-binary quantum codes from cyclic codes over \(\mathbb{F}_p \times (\mathbb{F}_p +v\mathbb{F}_p)\) ⋮ Quantum and LCD codes from skew constacyclic codes over a finite non-chain ring ⋮ Hermitian dual-containing constacyclic codes over \(\mathbb{F}_{q^2}+v_1 \mathbb{F}_{q^2}+\cdots +v_r \mathbb{F}_{q^2}\) and new quantum codes ⋮ New quantum codes from skew constacyclic codes over a class of non-chain rings \(R_{e, q}\) ⋮ Non-binary quantum codes from constacyclic codes over \(\mathbb{F}_q[u_1, u_2,\dots,u_k/\langle u_i^3 = u_i, u_i u_j = u_j u_i \rangle\)] ⋮ A family of constacyclic codes over a class of non-chain rings \({\mathcal{A}}_{q,r}\) and new quantum codes ⋮ Maximal entanglement-assisted quantum error correction codes from the skew group ring \(\mathbb{F}_4\rtimes_\varphi G\) by a heuristic search scheme
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