Quantum codes from (1 − 2v)-constacyclic codes over the ring 𝔽q + u𝔽q + v𝔽q + uv𝔽q
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Publication:4577852
DOI10.1142/S1793830918500465zbMath1415.94487MaRDI QIDQ4577852
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Publication date: 3 August 2018
Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)
Related Items (14)
Constacyclic codes over \(F_q[u_1, u_2, \cdots, u_k/\langle u_i^3-u_i, u_iu_j - u_ju_i\rangle\) and their applications of constructing quantum codes] ⋮ Quantum and LCD codes from skew constacyclic codes over a finite non-chain ring ⋮ New quantum codes from constacyclic codes over a non-chain ring ⋮ Quantum codes from Hermitian dual-containing constacyclic codes over \(\mathbb{F}_{q^2} + v\mathbb{F}_{q^2}\) ⋮ Constacyclic codes over mixed alphabets and their applications in constructing new quantum codes ⋮ Quantum Codes from the Cyclic Codes Over $$\mathbb {F}_{p}[v,w/\langle v^{2}-1,w^{2}-1,vw-wv\rangle $$] ⋮ New quantum codes from skew constacyclic codes over a class of non-chain rings \(R_{e, q}\) ⋮ Quantum codes from skew constacyclic codes over the ring \(\mathbb{F}_q [u, v \slash \langle u^2 - 1, v^2 - 1, u v - v u \rangle \)] ⋮ Construction of quantum codes from \(\lambda\)-constacyclic codes over the ring \(\frac{\mathbb{F}_p[u,v}{\langle v^3-v , u^3-u , uv-vu\rangle}\)] ⋮ New quantum codes from constacyclic codes over the ring \(R_{k,m}\) ⋮ Quantum codes from the cyclic codes over \(\mathbb {F}_{p}[u,v,w/\langle u^{2}-1,v^{2}-1,w^{2}-1,uv-vu,vw-wv,Wu-uw\rangle \)] ⋮ Quantum codes obtained from some constacyclic codes over a family of finite rings \(F_p+uF_p+vF_p\) ⋮ 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
Cites Work
- Construction of quantum codes from cyclic codes over \(\mathbb F_p + v\mathbb F_p\)
- Quantum codes from cyclic codes over \(F_q+uF_q+vF_q+uvF_q\)
- A class of constacyclic codes over \(\mathbb F_{p}+v\mathbb F_{p}\) and its Gray image
- Quantum codes derived from cyclic codes
- Quantum codes from cyclic codes over 𝔽q+v𝔽q+v2𝔽q+v3𝔽q
- QUATERNARY CONSTRUCTION OF QUANTUM CODES FROM CYCLIC CODES OVER $\mathbb{F}_4 + u\mathbb{F}_4$
- QUANTUM CODES FROM CYCLIC CODES OVER FINITE RING
- Quantum error correction via codes over GF(4)
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