Linear Complexity of a New Generalized Cyclotomic Sequence of Order Two of Length pq
Xiaoping Li, Wenping Ma, Tongjiang Yan, Xubo Zhao · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · 2013
In this letter, we first introduce a new generalized cyclotomic sequence of order two of length pq, then we calculate its linear complexity and minimal polynomial. Our results show that this sequence possesses both high linear complexity and optimal balance on 1s and 0s, which may be attractive for use in stream cipher cryptosystems.