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- W3003401666 abstract "Recently, the construction of matrix-product codes with certain self-orthogonality is an effective way to obtain good quantum codes. One of the most frequently used means in this process is to construct quasi-unitary matrices as the defining matrices of matrix-product codes. Further, if the defining matrix is NSC, then the corresponding matrix-product code has maximal minimum distance. Inspired by these idea, we propose a constructive method about NSC quasi-unitary matrices over $mathbb {F}_{q^{2}}$ with $q$ being a prime power, and construct $ktimes k$ NSC quasi-unitary matrices for any $k by certain properties of the polynomial ring $mathbb {F}_{q}[x_{1},ldots,x_{k}]$ , extending or improving the known results. Through such defining matrices, we obtain new classes of quantum codes from matrix-product codes, many of which show better parameters than previously known." @default.
- W3003401666 created "2020-02-07" @default.
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- W3003401666 date "2020-04-01" @default.
- W3003401666 modified "2023-10-16" @default.
- W3003401666 title "Construction of Quantum Codes From Matrix-Product Codes" @default.
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- W3003401666 doi "https://doi.org/10.1109/lcomm.2020.2969201" @default.
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