Quantum Information Processing

Quantum codes from $$(1-2u_1-2u_2-\cdots -2u_m)$$-skew constacyclic codes over the ring $$F_q+u_1F_{q}+\cdots +u_{2m}F_{q}$$

Tushar Bag, Mohammad Ashraf, Ghulam Mohammad, Ashish Kumar Upadhyay

Published Jul 24, 2019• 9 citations

Publisher

DOI: 10.1007/s11128-019-2384-5

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Quantum codes from $(1-2u_1-2u_2-\cdots -2u_m)$ -skew constacyclic codes over the ring $F_q+u_1F_{q}+\cdots +u_{2m}F_{q}$ Quantum codes from $$(1-2u_1-2u_2-\cdots -2u_m)$$-skew constacyclic codes over the ring $$F_q+u_1F_{q}+\cdots +u_{2m}F_{q}$$

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Published Jul 24, 2019• 9 citations

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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}

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

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