Perfect Gaussian integer sequences from cyclic difference sets

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jul 2016Publisher:IEEEJournal:2016 IEEE International Symposium on Information Theory (ISIT)

Authors: Xinjiao Chen; Chunlei Li 0001; Chunming Rong;

doi: 10.1109/isit.2016.7541272

Perfect Gaussian integer sequences from cyclic difference sets

- Summary
- Metrics

Abstract

A Gaussian integer is a complex number whose real and imaginary parts are both integers. This paper proposed a unified construction of perfect Gaussian integer sequences based on cyclic difference sets. It turns out that this construction produces an abundance of perfect Gaussian integer sequences. The proposed construction includes all the sequences recently given by Lee et. al as special cases, and many new families of Gaussian integer sequences. To illustrate, two classes of perfect Gaussian integer sequences defined from Kasami-Welch functions and Helleseth-Gong functions are given.

Related Organizations

Wuhan University
China (People's Republic of)
University of Stavanger
Norway

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	7
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%