Constructions of optimal low-hit-zone frequency hopping sequence sets

• Published in: Designs, codes, and cryptography Vol. 85; no. 2; pp. 219 - 232
• Main Authors: Zhou, Limengnan, Peng, Daiyuan, Liang, Hongbin, Wang, Changyuan, Ma, Zheng
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.11.2017; Springer Nature B.V
• Subjects: Circuits; Coding and Information Theory; Computer Science; Cryptology; Data communications; Data Structures and Information Theory; Discrete Mathematics in Computer Science; Frequency hopping; Information and Communication; Hamming correlations; sequence; Quasi-synchronous frequency hopping communication; 94B05; Low hit zone; 94A55; Frequency hopping sequence set
• ISSN: 0925-1022; 1573-7586
• DOI: 10.1007/s10623-016-0299-z

In recent years, the study relating to low-hit-zone frequency hopping sequence sets, including the bounds on the Hamming correlations within the low hit zone and the optimal constructions, has become a new research area attracting the attention of many related researchers. In this paper, two constructions of optimal frequency hopping sequence sets with low hit zone have been employed, one of which is based on m -sequence while the other is based on the decimated sequences of m -sequence. Moreover, in the special case of k = n - 1 , the construction based on the decimated sequences of m -sequence also yields low-hit-zone frequency hopping sequence sets with optimal periodic partial Hamming correlation property.