A Construction of Optimal Frequency Hopping Sequence Set via Combination of Multiplicative and Additive Groups of Finite Fields

@article{Niu2018ACO,
  title={A Construction of Optimal Frequency Hopping Sequence Set via Combination of Multiplicative and Additive Groups of Finite Fields},
  author={Xianhua Niu and Chaoping Xing},
  journal={ArXiv},
  year={2018},
  volume={abs/1812.08993}
}
In literatures, there are various constructions of frequency hopping sequence (FHS for short) sets with good Hamming correlations. Some papers employed only multiplicative groups of finite fields to construct FHS sets, while other papers implicitly used only additive groups of finite fields for construction of FHS sets. In this paper, we make use of both multiplicative and additive groups of finite fields simultaneously to present a construction of optimal FHS sets. The construction provides a… CONTINUE READING
1
Twitter Mention

Similar Papers

References

Publications referenced by this paper.
SHOWING 1-10 OF 21 REFERENCES

Lower bounds on the Hamming auto- and cross correlations of frequency-hopping sequences

  • IEEE Transactions on Information Theory
  • 2004
VIEW 9 EXCERPTS
HIGHLY INFLUENTIAL

New Constructions for Optimal Sets of Frequency-Hopping Sequences

  • IEEE Transactions on Information Theory
  • 2011
VIEW 8 EXCERPTS
HIGHLY INFLUENTIAL

Sets of Optimal Frequency-Hopping Sequences

  • IEEE Transactions on Information Theory
  • 2008
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Two classes of optimal frequency-hopping sequences with new parameters

  • Applicable Algebra in Engineering, Communication and Computing
  • 2018
VIEW 1 EXCERPT

Construction of a one-coincidence frequency-hopping sequence set with optimal performance

H. Wang, P. Huang
  • Springer International Publishing Switzerland, pp.915-923, 2015.
  • 2015
VIEW 1 EXCERPT