Quantum Information Processing

$$(x^n-(a+bw),\xi ,\eta )$$-skew constacyclic codes over $$\mathbb {F}_{q}+w\mathbb {F}_{q}$$ and their applications in quantum codes

Fanghui Ma, Jian Gao, Fang‐Wei Fu

Published Oct 13, 2022• 5 citations

Publisher

DOI: 10.1007/s11128-022-03697-1

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$(x^n-(a+bw),\xi ,\eta )$ -skew constacyclic codes over $\mathbb {F}_{q}+w\mathbb {F}_{q}$ and their applications in quantum codes$$(x^n-(a+bw),\xi ,\eta )$$-skew constacyclic codes over $$\mathbb {F}_{q}+w\mathbb {F}_{q}$$ and their applications in quantum codes

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(x^n-(a+bw),\xi ,\eta )

-skew constacyclic codes over

\mathbb {F}_{q}+w\mathbb {F}_{q}

and their applications in quantum codes

{\mathbb {F}}_qR

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

Quantum codes from

(1-2u_1-2u_2-\cdots -2u_m)

-skew constacyclic codes over the ring

F_q+u_1F_{q}+\cdots +u_{2m}F_{q}

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