New Sequences with Zero Autocorrelation

New Sequences with Zero Autocorrelation New families of unimodular sequences of length p = 3f + 1 with zero autocorrelation are described, p being a prime. The construction is based on employing Gauss periods. It is shown that in this case elements of the sequences are algebraic numbers defined by irreducible polynomials over ℤ of degree 12 (for the first family) and 6 (for the second family). In turn, these polynomials are factorized in some extension of the field ℚ into polynomials of degree, respectively, 4 and 2, which are written explicitly. For p = 13, using the exhaustive search method, full classification of unimodular sequences with zero autocorrelation is given. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

New Sequences with Zero Autocorrelation

Loading next page...
 
/lp/springer_journal/new-sequences-with-zero-autocorrelation-ANuE6p5WsI
Publisher
Springer Journals
Copyright
Copyright © 2002 by MAIK “Nauka/Interperiodica”
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1023/A:1022093728009
Publisher site
See Article on Publisher Site

Abstract

New families of unimodular sequences of length p = 3f + 1 with zero autocorrelation are described, p being a prime. The construction is based on employing Gauss periods. It is shown that in this case elements of the sequences are algebraic numbers defined by irreducible polynomials over ℤ of degree 12 (for the first family) and 6 (for the second family). In turn, these polynomials are factorized in some extension of the field ℚ into polynomials of degree, respectively, 4 and 2, which are written explicitly. For p = 13, using the exhaustive search method, full classification of unimodular sequences with zero autocorrelation is given.

Journal

Problems of Information TransmissionSpringer Journals

Published: Oct 13, 2004

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create lists to
organize your research

Export lists, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off