Abstract
It is well-known that it is an important task to construct quantum codes with good parameters. In this paper, we first give the definition of the Euclidean sums of classical codes, and prove that the Euclidean sums of classical codes are Euclidean dual-containing. Then we construct five classes of quantum codes based on the Euclidean sums of the matrix-product codes. We compare our quantum codes with previously known quantum codes available in the literature. As can be seen, some of them have not been constructed before, and in some cases, have larger dimension than previous literature.
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Acknowledgements
This work was supported by Research Funds of Hubei Province (Grant No. Q20164505) and the talent project of Hubei Polytechnic University of China (Grant No. 16xjzo8R).
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Liu, J., Hu, P. & Liu, X. Application of Euclidean sums of matrix-product codes to quantum codes. Quantum Inf Process 22, 202 (2023). https://doi.org/10.1007/s11128-023-03954-x
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DOI: https://doi.org/10.1007/s11128-023-03954-x