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Published in:
2006 | OriginalPaper | Chapter
New Constructions of Large Binary Sequences Family with Low Correlation
Authors : Xin Tong, Jie Zhang, Qiao-Yan Wen
Published in: Information Security and Cryptology
Publisher: Springer Berlin Heidelberg
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A new family of binary sequences
S
e
(
ρ
) (
U
e
(
ρ
)) of period 2
n
–1 is constructed for odd (even)
n
=
me
and an integer
ρ
with 1 ≤
ρ
< ⌈
$\frac{m}{2}$
⌉. The new family
S
e
(
ρ
) (or
U
e
(
ρ
)) contains Kim and No’s construction as a subset if
m
-sequences are excluded from both constructions. Furthermore, the new sequences are proved to have low correlation property, large linear span and large family size.