Quantum Information Processing

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

Published Nov 27, 2017• 51 citations

DOI: 10.1007/s11128-017-1775-8

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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

Published Nov 27, 2017• 51 citations

Publisher

DOI: 10.1007/s11128-017-1775-8

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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 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

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}

{\mathbb {F}}_qR

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