On the Linear Span of a Binary Sequence Family with Optimal Correlation Properties

Authors:
Xiangyong Zeng;John Q. Liu;Lei Hu;Desmond P. Taylor
Affiliations:
-;-;-;-
Venue:
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Year:
2008

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A Family of Binary Sequences with 4-Valued Optimal Out-of-Phase Correlation and Large Linear Span*This work is supported in part by the National Science Foundation of China (NSFC) under Grants No.60373041 and No.90104034, and in part by the open foundation of the State Key Laboratory of Information Security.

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Abstract

A new subfamily of sequences with optimal correlation properties is constructed for the generalized Kasami set. A lower bound on the linear span is established. It is proved that with suitable choices of parameters, this subfamily has exponentially larger linear spans than either No sequences or TN sequences. A class of sequences with ideal autocorrelation is also proved to have large linear span.