New constructions of optimal frequency hopping sequences with new parameters | Zendy

Fang Liu | Zendy; Daiyuan Peng | Zendy; Zhengchun Zhou | Zendy; Xiaohu Tang | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

New constructions of optimal frequency hopping sequences with new parameters

Author(s) -

Fang Liu,

Daiyuan Peng,

Zhengchun Zhou,

Xiaohu Tang

Publication year - 2013

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.2013.7.91

Subject(s) - mathematics , frequency hopping spread spectrum , prime (order theory) , integer (computer science) , discrete mathematics , upper and lower bounds , combinatorics , mathematical analysis , telecommunications , computer science , programming language

In this paper, three constructions of frequency hopping sequences (FHSs) are proposed using a new generalized cyclotomy with respect to Zpn, where p is an odd prime and n is a positive integer. Based on some basic properties of the new generalized cyclotomy, it is shown that all the constructed FHSs are optimal with respect to the well-known Lempel-Greenberger bound. Furthermore, these FHSs have new parameters which are not reported in the literature. © 2013 AIMS.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research