2015/06/24 by Jingjun Bao, Bao, Jingjun, Lijun Ji +1 · 2 citations
Computer Science · Engineering · Mathematics · #94A55 #94B25 #Advanced Wireless Communication Techniques #Coding theory and cryptography #FOS: Computer and information sciences #Information Theory (cs.IT) #Wireless Communication Networks Research #cs.IT #math.IT #msc:94A55 #msc:94B25
paper · pdf · doi:10.48550/arxiv.1506.07372
10 pages
arxiv created 2015/06/24 · openalex publication_date 2015/06/24 · arxiv updated 2015/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Frequency hopping sequences (FHSs) are employed to mitigate the interferences caused by the hits of frequencies in frequency hopping spread spectrum systems. In this paper, we present some new algebraic and combinatorial constructions for FHS sets, including an algebraic construction via the linear mapping, two direct constructions by using cyclotomic classes and recursive constructions based on cyclic difference matrices. By these constructions, a number of series of new FHS sets are then produced. These FHS sets are optimal with respect to the Peng-Fan bounds.