New sequences with zero autocorrelation
type: Item
instance of: scholarly article
title: New sequences with zero autocorrelation
zbMATH Open document ID: 1027.11019
DOI: 10.1023/A:1022093728009
author: Vitaly V. Shorin
author: E. M. Gabidulin
published in: Problems of Information Transmission
publication date: 2004-01-13T00:00:00Z
review text: The authors give a new construction method for unimodular delta-correlated sequences of length \(p\) (a prime). This method uses so-called Gauss periods. In the case \(p=3f+1\) it is shown that the elements are defined by roots of a polynomial of degree 12 over \(\mathbb{Z}\) (the integers) for one family and by roots of a polynomial of degree 6 for another family. For \(p=3,5,7\) and 13 the methods can be shown to generate all equivalence classes of unimodular delta-correlated sequences, where the equivalence is defined by a specific group of transformations. The authors conjecture that this is true for any prime \(p\).
Mathematics Subject Classification ID: 11B83
zbMATH DE Number: 1930604
zbMATH Keywords: Fourier transforms
zbMATH Keywords: unimodular delta-correlated sequences
zbMATH Keywords: Gauss periods
reviewed by: Herman J. Tiersma
MaRDI profile type: Publication
full work available at URL: a:1022093728009
OpenAlex ID: W1591177705
description: scientific article; zbMATH DE number 1930604