On the Linear Span of a Binary Sequence Family with Optimal Correlation Properties
Xiao Zeng, J. Q. LIU, Lei Hu, Desmond P. Taylor · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · 2008
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.