A new frequency-hopping sequence set based upon generalized cyclotomy

Authors:
Fang Liu;Daiyuan Peng;Zhengchun Zhou;Xiaohu Tang
Affiliations:
Provincial Key Lab of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, China;Provincial Key Lab of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, China;School of Mathematics, Southwest Jiaotong University, Chengdu, China;Provincial Key Lab of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, China
Venue:
Designs, Codes and Cryptography
Year:
2013

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Abstract

In this paper, a new set of frequency-hopping sequences is proposed, and the Hamming correlation distribution of the new set is investigated. The construction of new frequency hopping sequences is based upon generalized cyclotomy. It is shown that the proposed frequency-hopping sequence set is optimal with respect to the average Hamming correlation bound.