Two classes of near-optimal frequency-hopping sequence sets with prime-power period

@article{Xu2017TwoCO,
  title={Two classes of near-optimal frequency-hopping sequence sets with prime-power period},
  author={Shanding Xu and Xiwang Cao and Guangkui Xu and Gaojun Luo},
  journal={Cryptography and Communications},
  year={2017},
  volume={10},
  pages={437-454}
}
In this paper, a kind of generalized cyclotomy with respect to a prime power is introduced and properties of the corresponding generalized cyclotomic numbers are investigated. Based on the generalized cyclotomy, two classes of frequency-hopping sequence (FHS) sets with prime-power period are presented. Meanwhile, we derive the Hamming correlation distribution of the new FHS sets. The results show that the proposed FHSs and FHS sets have (near-) optimal maximum Hamming correlation (MHC). These… CONTINUE READING

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