Decimated m-sequences families with optimal partial Hamming correlation

Abstract

In quasi-synchronous frequency-hopping multiple-access systems where relative delays are restricted within a certain zone, low hit zone frequency-hopping sequences (LHZ FHSs) with favorable partial Hamming correlation properties are desirable. In this paper, we present a new class of LHZ FHS sets with optimal partial Hamming correlation based on t-decimation of m-sequence.

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Acknowledgements

This work is supported by the National Science Foundation of China (Grant No. 61701331), the Project of Sichuan Education Department (Grant No. 18ZB0496), the Fundamental Research Funds for the Central Universities (Grant No. 2682018CX22), and the Youth Innovative Talent Project of Guangdong Education Department (Grant No. 2017KQNCX242).

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Correspondence to Hongyu Han.

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Han, H., Zhang, S., Zhou, L. et al. Decimated m-sequences families with optimal partial Hamming correlation. Cryptogr. Commun. 12, 405–413 (2020). https://doi.org/10.1007/s12095-019-00400-7

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Keywords

  • Frequency-hopping sequence
  • Low hit zone
  • Quasi-synchronous multiple-access system
  • m-sequence
  • Decimated sequence

Mathematics Subject Classification (2010)

  • 94A55
  • 94B05