Construction of three classes of strictly optimal frequency-hopping sequence sets | Zendy

Xianhong Xie | Zendy; Yi Ouyang | Zendy; Honggang Hu | Zendy; Ming Mao | Zendy

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Construction of three classes of strictly optimal frequency-hopping sequence sets

Author(s) -

Xianhong Xie,

Yi Ouyang,

Honggang Hu,

Ming Mao

Publication year - 2022

Publication title -

advances in mathematics of communications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.601

H-Index - 26

eISSN - 1930-5346

pISSN - 1930-5338

DOI - 10.3934/amc.2022024

Subject(s) - mathematics , trace (psycholinguistics) , sequence (biology) , frequency hopping spread spectrum , combinatorics , class (philosophy) , construct (python library) , hamming code , discrete mathematics , algorithm , telecommunications , block code , linguistics , artificial intelligence , philosophy , genetics , decoding methods , computer science , biology , programming language

In this paper, we construct three classes of strictly optimal frequency-hopping sequence (FHS) sets with respect to partial Hamming correlation and family size. The first and second classes are based on the trace map, the third class is based on a generic construction.

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