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Discrete Mathematics

Quantum codes from skew constacyclic codes over the ring F q [ u , v ] ∕ 〈 u 2 − 1 , v 2 − 1 , u v − v u 〉

Tushar Bag, Hai Quang Dinh, Ashish Kumar Upadhyay, Ramakrishna Bandi, Woraphon Yamaka

Published Nov 29, 2019• 34 citations
Publisher
DOI
10.1016/j.disc.2019.111737

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FqR{\mathbb {F}}_qRFq​R-linear skew constacyclic codes and their application of constructing quantum codes
Quantum codes from (1−2u1−2u2−⋯−2um)(1-2u_1-2u_2-\cdots -2u_m)(1−2u1​−2u2​−⋯−2um​)-skew constacyclic codes over the ring Fq+u1Fq+⋯+u2mFqF_q+u_1F_{q}+\cdots +u_{2m}F_{q}Fq​+u1​Fq​+⋯+u2m​Fq​