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New constructions of Z-complementary code sets and mutually orthogonal complementary sequence sets

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Abstract

Due to their zero nontrivial aperiodic correlation property, complete complementary codes (CCCs) have been used in asynchronous multi carrier code division multiple access communication systems to provide zero interference performance. However, the existing CCCs length is limited. In such cases, mutually orthogonal complementary sequence sets (MOCSSs) and Z-complementary code sets (ZCCSs) can replace CCCs. In this paper, we first propose a direct construction of q-ary \((q^{v+1},q,q^m,q^{m-v})\)-ZCCSs, and then propose a new construction of MOCSSs and CCCs based on known CCCs. Notably, our constructions fill the gaps in some parameters of sequence sets mentioned above.

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Acknowledgements

The authors are very grateful to the Editor and the anonymous reviewers for their valuable comments that highly improved the presentation and quality of this paper. This work was supported by National Natural Science Foundation of China under Grants 62171389 and 62131016, and also by the Central Government Funds for Guiding Local Scientific and Technological Development under Grant 2021ZYD0001.

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Authors and Affiliations

  1. School of Mathematics, Southwest Jiaotong University, Chengdu, China

    Bingsheng Shen, Hua Meng, Yang Yang & Zhengchun Zhou

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  1. Bingsheng Shen
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  2. Hua Meng
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  3. Yang Yang
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  4. Zhengchun Zhou
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Correspondence to Hua Meng.

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Communicated by K.-U. Schmidt.

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Shen, B., Meng, H., Yang, Y. et al. New constructions of Z-complementary code sets and mutually orthogonal complementary sequence sets. Des. Codes Cryptogr. 91, 353–371 (2023). https://doi.org/10.1007/s10623-022-01112-5

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