Journal of Applied Mathematics and Computing

Constacyclic codes over $${\pmb {\mathbb {F}}}_{q^2}[u]/\langle u^2-w^2 \rangle $$ and their application in quantum code construction

Tushar Bag, Hai Quang Dinh, Kanat Abdukhalikov, Ashish Kumar Upadhyay, Woraphon Yamaka

Published Jan 5, 2022• 4 citations

DOI: 10.1007/s12190-021-01692-w

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Journal of Applied Mathematics and Computing

Constacyclic codes over ${\pmb {\mathbb {F}}}_{q^2}[u]/\langle u^2-w^2 \rangle$ and their application in quantum code constructionConstacyclic codes over $${\pmb {\mathbb {F}}}_{q^2}[u]/\langle u^2-w^2 \rangle $$ and their application in quantum code construction

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Publisher

DOI: 10.1007/s12190-021-01692-w

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Constacyclic codes over

{\pmb {\mathbb {F}}}_{q^2}[u]/\langle u^2-w^2 \rangle

and their application in quantum code construction

Constacyclic codes over

\mathbb {F}_{q^{2}} \times (\mathbb {F}_{q^{2}}+v\mathbb {F}_{q^{2}})

and their applications in constructing new quantum codes

Constacyclic codes over

F_q[u_{1}, u_{2}, \cdots , u_{k}]/\langle u_{i}^3-u_{i},u_{i}u_{j}-u_{j}u_{i}\rangle

and their applications of constructing quantum codes

Constacyclic codes over the ring

{\mathbb {F}}_q+v{\mathbb {F}}_q+v^{2}{\mathbb {F}}_q

F q + v F q + v 2 F q and their applications of constructing new non-binary quantum codes

u-Constacyclic codes over

{\mathbb {F}}_p+u{\mathbb {F}}_p

F p + u F p and their applications of constructing new non-binary quantum codes

{\mathbb {F}}_qR

-linear skew constacyclic codes and their application of constructing quantum codes

Construction of new quantum codes derived from constacyclic codes over

{\mathbb {F}}_{q^2}+u{\mathbb {F}}_{q^2}+\cdots +u^{r-1}{\mathbb {F}}_{q^2}