New Class of Optimal Frequency-Hopping Sequences by Polynomial Residue Class Rings

Details New Class of Optimal Frequency-Hopping Sequences by Polynomial Residue Class Rings New Class of Optimal Frequency-Hopping Sequences by Polynomial Residue Class Rings

2010-10-26

arxiv.org/abs/1010.5291v1

Computer Science

Information Theory

10 pages

Scientific paper

In this paper, using the theory of polynomial residue class rings, a new construction is proposed for frequency hopping patterns having optimal Hamming autocorrelation with respect to the well-known $Lempel$-$Greenberger$ bound. Based on the proposed construction, many new $Peng$-$Fan$ optimal families of frequency hopping sequences are obtained. The parameters of these sets of frequency hopping sequences are new and flexible.

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