Frequency hopping sequences with optimal aperiodic Hamming correlation by interleaving techniques

Xing Liu; Daiyuan Peng

doi:10.3934/amc.2017009

Article Contents

2017, Volume 11, Issue 1: 151-159. Doi: 10.3934/amc.2017009

This issue Previous Article AFSRs synthesis with the extended Euclidean rational approximation algorithm Next Article Forward-secure identity-based encryption with direct chosen-ciphertext security in the standard model

Frequency hopping sequences with optimal aperiodic Hamming correlation by interleaving techniques

Xing Liu and
Daiyuan Peng

Provincial Key Laboratory of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, Sichuan 610031, China

Received: July 2015

Published online: February 2017

The authors are supported by the National Science Foundation of China (Grant No. 61271244), the Key Grant Project of Chinese Ministry of Education (Grant No. 311031 100), and the Young Innovative Research Team of Sichuan Province (Grant No. 2011JTD0007)

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Abstract

Aperiodic Hamming correlation is an important criterion for evaluating the goodness of frequency hopping (FH) sequence design, while it received little attraction in the literature. In this paper, a construction of FH sequences with optimal aperiodic Hamming correlation by interleaving techniques is presented. Further, a class of one-coincidence FH sequence sets under aperiodic Hamming correlation is proposed. By employing the one-coincidence FH sequence sets, a class of FH sequence sets with optimal aperiodic Hamming correlation is also constructed by interleaving techniques.

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Mathematics Subject Classification: Primary: 94A55; Secondary: 94B05.

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