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Quantum Information Processing

On quantum and LCD Codes Over The Ring $$F_q+vF_q+v^2F_q$$

Shakir Ali, Ghulam Mohammad, Mohammad Jeelani, Noor Mohammad Khan, Pushpendra Sharma

Published Sep 17, 2022• 5 citations
Publisher
DOI
10.1007/s11128-022-03654-y

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On quantum and LCD Codes Over The Ring Fq+vFq+v2FqF_q+vF_q+v^2F_qFq​+vFq​+v2Fq​
On Quantum and LCD Codes from the Consatacyclic and Cyclic Codes Over the Ring Fpr[v]/<vm−v>\mathbb {F}_{p^{r}}[v]/< v^{m} - v>Fpr​[v]/<vm−v>
On quantum and LCD codes from the cyclic codes over the ring Fq[u,v,w]/⟨u3−u,v2−v,w2−w,uv,vu,uw,wu,vw−wv⟩\mathbb {F}_q[\textsf{u}, \textsf{v},\textsf{w}]/\langle \textsf{u}^3-\textsf{u},\textsf{v}^2-\textsf{v}, \textsf{w}^2-\textsf{w}, \textsf{u}\textsf{v}, \textsf{v}\textsf{u}, \textsf{u}\textsf{w}, \textsf{w}\textsf{u}, \textsf{v}\textsf{w}-\textsf{w}\textsf{v} \rangle Fq​[u,v,w]/⟨u3−u,v2−v,w2−w,uv,vu,uw,wu,vw−wv⟩