Low-correlation, large linear span sequences from function fields
Chaoping Xing, P. Vijay Kumar, Cunsheng Ding · IEEE Transactions on Information Theory · 2003
A general method of generating families of binary sequences with low correlation as well as large linear span is presented. The lower bound on the linear span is on the order of the square root of the period of each sequence within the family. The design makes use of the theory of function fields. Two example applications of this method are presented in which the underlying function fields are the rational and elliptic function fields respectively.