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New Entanglement-Assisted Quantum Constacyclic Codes

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Abstract

The entanglement-assisted quantum error-correcting (EAQEC) codes have the potential to greatly generalize and enhance the performance of existing quantum error-correcting codes. In this paper, we investigate EAQEC codes of length \(\frac{q^2-1}{r}\), where r is a positive divisor of \(q+1\). Most of these codes are new, and some of them have better performance than ones obtained in the literature. The resulting EAQEC codes are maximum-distance-separable (MDS) if the minimum distance \(d\le \frac{n+2}{2}\).

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Acknowledgements

This study is supported by the National Natural Science Foundation of China (No.61972126, No.62002093, No.U21A20428, No.12171134)

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  1. School of Mathematics, Hefei University of Technology, Hefei, 230601, Anhui, China

    Yajing Zhou & Xiaoshan Kai

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  1. Yajing Zhou
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Correspondence to Xiaoshan Kai.

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Zhou, Y., Kai, X. New Entanglement-Assisted Quantum Constacyclic Codes. Int J Theor Phys 62, 208 (2023). https://doi.org/10.1007/s10773-023-05462-1

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