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Applicable Algebra in Engineering, Communication and Computing
Published in:

19-09-2022 | Original Paper

Constructions of low-hit-zone frequency hopping sequence sets from cyclic codes

Authors: Cuiling Fan, Xiaoxiao Cui, Wei Su

Published in: Applicable Algebra in Engineering, Communication and Computing | Issue 5/2024

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Abstract

Low-hit-zone frequency hopping sequence (LHZ-FHS) sets having optimal Hamming correlation are desirable in quasi-synchronous communication systems. In this paper, we first derive a new bound on maximum nontrivial Hamming correlation of LHZ-FHS sets from the famous Singleton bound in error correcting code literature, then obtain a general construction of LHZ-FHS sets from cyclic codes. Especially, two classes of LHZ-FHS sets meeting the new bound are constructed from punctured Reed-Solomon codes.
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Metadata
Title
Constructions of low-hit-zone frequency hopping sequence sets from cyclic codes
Authors
Cuiling Fan
Xiaoxiao Cui
Wei Su
Publication date
19-09-2022
Publisher
Springer Berlin Heidelberg
Published in
Applicable Algebra in Engineering, Communication and Computing / Issue 5/2024
Print ISSN: 0938-1279
Electronic ISSN: 1432-0622
DOI
https://doi.org/10.1007/s00200-022-00581-4

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