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

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.

preprint2010arXivOpen access
Wenping MaShaohui Sun
math.ITInformation Theory
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Wenping MaShaohui Sun

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