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Lecture notes in networks and systems

On Quantum and LCD Codes from the Consatacyclic and Cyclic Codes Over the Ring $$\mathbb {F}_{p^{r}}[v]/< v^{m} - v>$$

Mohammed Sabiri, Bassou Aouijil

Published Jan 1, 2025• 0 citations
Publisher
DOI
10.1007/978-981-96-6932-5_13

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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⟩
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