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New quantum stabilizer codes with better parameters from the images of some RS codes and BCH codes

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Abstract

This paper contributes to constructing some good quantum stabilizer codes by the images of cyclic codes of length \({\varvec{q^{2m}-1}}\) and \({\varvec{r(q^2-1)}}\), respectively, where \({\varvec{m}}\) and \({\varvec{r}}\) are positive integers. The construction produces some quantum stabilizer codes with larger minimum distances or better code rate than the previously known ones and some quantum stabilizer codes with the new length \({\varvec{m(q^{2m}-1)}}\).

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Data sharing not applicable to this article as no datasets were generated or analysed during the current study.

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The code generated during this study are included in the supplementary information files.

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Acknowledgements

This work was supported by the Shandong Provincial Natural Science Foundation, China (No. ZR2022MA061) and National Natural Science Foundation of China (No. 61902429) and the Fundamental Research Funds for the Central Universities (No. 22CX03015A).

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Authors and Affiliations

  1. College of Sciences, China University of Petroleum (East China), Huangdao, Qingdao, 266580, Shandong, China

    Xueting Wang, Tongjiang Yan & Yuhua Sun

  2. National key laboratory of science and technology on communications, University of Electronic Science and Technology of China, Chengdu, 611731, Sichuan, China

    Tao Wang

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  1. Xueting Wang
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Contributions

TY is assigned as Corresponding Author and acts on behalf of all co-authors and ensures that questions related to the accuracy or integrity of any part of the work are appropriately addressed. XW contributed to the study conception and design. The first draft of the manuscript was written by XW and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Tongjiang Yan.

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Wang, X., Yan, T., Sun, Y. et al. New quantum stabilizer codes with better parameters from the images of some RS codes and BCH codes. Quantum Inf Process 22, 53 (2023). https://doi.org/10.1007/s11128-022-03795-0

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