Proceedings of the 2013 International Conference on Advanced Computer Science and Electronics Information (ICACSEI 2013)

A New Large Family of Binary Sequences with Large Linear Span and Low Correlation

Authors
Jun Chen, Yun Chen
Corresponding Author
Jun Chen
Available Online August 2013.
DOI
10.2991/icacsei.2013.46How to use a DOI?
Keywords
Sequence, Family size, Linear span, Low correlation.
Abstract

Let n, m and r be three positive integers such that n = 2m and gcd(r, 2m - 1) = 1, a new family S(r) of 25n/2 binary sequences of period 2n - 1 is proposed. The presented family takes 7-valued out-of-phase atuo- and cross-correlation values -2n/2 - 1, -1, 2n/2 - 1, 2.2n/2 - 1, 3.2n/2 - 1, 4.2n/2 - 1 and 5.2n/2 - 1. For r = (2m/2 – 1)/7 and m 1 mod 3, it is proved that the linear span of sequences in S(r) is n. l(n-2)/6/2, where l = 2, 3, 4, 5, 6, 7, and the distribution of linear span of sequences in S(r) is determined.

Copyright
© 2013, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

Volume Title
Proceedings of the 2013 International Conference on Advanced Computer Science and Electronics Information (ICACSEI 2013)
Series
Advances in Intelligent Systems Research
Publication Date
August 2013
ISBN
978-90-78677-74-1
ISSN
1951-6851
DOI
10.2991/icacsei.2013.46How to use a DOI?
Copyright
© 2013, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Jun Chen
AU  - Yun Chen
PY  - 2013/08
DA  - 2013/08
TI  - A New Large Family of Binary Sequences with Large Linear Span and Low Correlation
BT  - Proceedings of the 2013 International Conference on Advanced Computer Science and Electronics Information (ICACSEI 2013)
PB  - Atlantis Press
SP  - 186
EP  - 189
SN  - 1951-6851
UR  - https://doi.org/10.2991/icacsei.2013.46
DO  - 10.2991/icacsei.2013.46
ID  - Chen2013/08
ER  -