A New Large Family of Binary Sequences with Large Linear Span and Low Correlation
Jun Chen, Yun Chen
Available Online August 2013.
- 10.2991/icacsei.2013.46How to use a DOI?
- Sequence, Family size, Linear span, Low correlation.
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.
- © 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 -