New Constructions of Frequency-Hopping Sequences from Power-Residue Sequences

Pinhui KE
Zhihua WANG
Zheng YANG

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E94-A    No.3    pp.1029-1033
Publication Date: 2011/03/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E94.A.1029
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Information Theory
direct sequence spread spectrum,  frequency-hopping sequences,power-residue sequence,  cyclotomic class,  

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In this letter, we give a generalized construction for sets of frequency-hopping sequences (FHSs) based on power-residue sequences. Our construction encompasses a known optimal construction and can generate new optimal sets of FHSs which simultaneously achieve the Peng-Fan bound and the Lempel-Greenberger bound.