2008 | OriginalPaper | Buchkapitel
Four Families of Binary Sequences with Low Correlation and Large Linear Complexity
verfasst von : Jin-Song Wang, Wen-Feng Qi
Erschienen in: Information Security and Cryptology
Verlag: Springer Berlin Heidelberg
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In this paper, four new families
S
1
,
S
2
,
S
3
and
S
4
of binary sequences of period 2
n
− 1 with low correlation are presented, where
S
1
,
S
3
are defined for odd
n
, and
S
2
,
S
4
for even
n
. The family
S
1
has six-valued correlations, while
S
2
and
S
3
have either six-valued correlations or eight-valued correlations, and
S
4
has either eight-valued or ten-valued, depending on the choice of parameters.