Quantum Information Processing

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

Fanghui Ma, Jian Gao, Fang‐Wei Fu

Published Apr 18, 2018• 54 citations

DOI: 10.1007/s11128-018-1898-6

Related papers

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

Jian Gao, Yongkang Wang

Quantum Information ProcessingNov 27, 201751 citations

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

Liqi Wang, Xinxin Zhang, Shixin Zhu

Quantum Information ProcessingApr 28, 20254 citations

Construction of new quantum codes derived from constacyclic codes over $${\mathbb {F}}_{q^2}+u{\mathbb {F}}_{q^2}+\cdots +u^{r-1}{\mathbb {F}}_{q^2}$$

Xiaoping Shi, Xinmei Huang, Qin Yue

Applicable Algebra in Engineering Communication and ComputingJan 20, 20209 citations

Quantum Codes Obtained from Some Constacyclic Codes Over a Family of Finite Rings $$F_{p}+uF_{p}+vF_{p}$$

Abdullah Dertli, Yasemin Çengellenmiş

Mathematics in Computer ScienceDec 17, 20193 citations

New non-binary quantum codes from skew constacyclic and additive skew constacyclic codes

Ram Krishna Verma, Om Prakash, Habibul Islam +1 more

The European Physical Journal PlusFeb 1, 20229 citations

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 +2 more

Journal of Applied Mathematics and ComputingJan 5, 20224 citations

Quantum Information Processing

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 codesConstacyclic 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

Fanghui Ma, Jian Gao, Fang‐Wei Fu

Published Apr 18, 2018• 54 citations

Publisher

DOI: 10.1007/s11128-018-1898-6

Related papers

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 codesu-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

Jian Gao, Yongkang Wang

Quantum Information ProcessingNov 27, 201751 citations

Constacyclic codes over $\mathbb {F}_{q^{2}} \times (\mathbb {F}_{q^{2}}+v\mathbb {F}_{q^{2}})$ and their applications in constructing new quantum codesConstacyclic codes over $$\mathbb {F}_{q^{2}} \times (\mathbb {F}_{q^{2}}+v\mathbb {F}_{q^{2}})$$ and their applications in constructing new quantum codes

Liqi Wang, Xinxin Zhang, Shixin Zhu

Quantum Information ProcessingApr 28, 20254 citations

Construction of new quantum codes derived from constacyclic codes over ${\mathbb {F}}_{q^2}+u{\mathbb {F}}_{q^2}+\cdots +u^{r-1}{\mathbb {F}}_{q^2}$ Construction of new quantum codes derived from constacyclic codes over $${\mathbb {F}}_{q^2}+u{\mathbb {F}}_{q^2}+\cdots +u^{r-1}{\mathbb {F}}_{q^2}$$

Xiaoping Shi, Xinmei Huang, Qin Yue

Applicable Algebra in Engineering Communication and ComputingJan 20, 20209 citations

Quantum Codes Obtained from Some Constacyclic Codes Over a Family of Finite Rings $F_{p}+uF_{p}+vF_{p}$ Quantum Codes Obtained from Some Constacyclic Codes Over a Family of Finite Rings $$F_{p}+uF_{p}+vF_{p}$$

Abdullah Dertli, Yasemin Çengellenmiş

Mathematics in Computer ScienceDec 17, 20193 citations

New non-binary quantum codes from skew constacyclic and additive skew constacyclic codes

Ram Krishna Verma, Om Prakash, Habibul Islam +1 more

The European Physical Journal PlusFeb 1, 20229 citations

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

Tushar Bag, Hai Quang Dinh, Kanat Abdukhalikov +2 more

Journal of Applied Mathematics and ComputingJan 5, 20224 citations

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

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

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}

Quantum Codes Obtained from Some Constacyclic Codes Over a Family of Finite Rings

F_{p}+uF_{p}+vF_{p}

Constacyclic codes over

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

and their application in quantum code construction