A Construction of Binary Cyclotomic Sequences Using Extension Fields
Zhixiong Chen, Xiaoni Du, Rong Xia Sun · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · 2009
Based on the cyclotomy classes of extension fields, a family of binary cyclotomic sequences are constructed and their pseudorandom measures (i.e., the well-distribution measure and the correlation measure of order k) are estimated using certain exponential sums. A lower bound on the linear complexity profile is also presented in terms of the correlation measure.