학술논문

New Correlations of m-sequences over the finite field $\mathbb{F}_{4}$ compatible with a new bijection to $\mathbb{Z}_{4}$
Document Type
Conference
Source
2022 10th International Workshop on Signal Design and Its Applications in Communications (IWSDA) Signal Design and Its Applications in Communications (IWSDA), 2022 10th International Workshop on. :1-5 Aug, 2022
Subject
Communication, Networking and Broadcast Technologies
Computing and Processing
Signal Processing and Analysis
Correlation
Systematics
Conferences
Galois fields
Signal design
Arithmetic
CDMA
wireless communications
sequence de-sign
correlation
Language
ISSN
2150-3699
Abstract
In this paper we obtain a new method to compute the correlation values of two arbitrary sequences defined by a mapping from $\mathbb{F}_{4^{n}}$ to $\mathbb{F}_{4}$. We apply this method to demon-strate that the usual nonbinary maximal length sequences have almost ideal correlation under the canonical complex correlation definition and investigate some decimations giving good cross correlation.