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中文摘要：
该文基于分圆理论,构造了一类周期为22p的四阶二元广义分圆序列。利用有限域上多项式分解理论研究序列的极小多项式和线性复杂度。结果表明,该序列具有良好的线性复杂度性质,能够抗击B-M算法的攻击。是密码学意义上性质良好的伪随机序列。
英文摘要：
Based on the theory of generalized cyclotomic, a new class of binaey generalized cyclotomic sequences of order four with period 2p^2 is established. Using the theory of polynomial factor over finite field, the linear complexity and minimal polynomial of the new sequences are researched. Results show that the sequences has larger linear complexity and can resist the attack by B-M algorithm. It is a good sequence from the viewpoint of cryptography.
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