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2p^n周期二元序列稳定性的进一步分析

Further Analysis of Stability for 2p^n Periodic Binary Sequences
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摘要 序列的线性复杂度与k-错线性复杂度是度量密钥序列伪随机性的两个重要指标。在p(p>3)为奇素数且2是模p2本原根的情况下,对于周期为2pn的二元序列,文章进一步分析了满足k-错线性复杂度严格小于序列复杂度的k的最小值的上界,并指出当周期为2p(p>3)时,在大多数情况下可以达到该上界。 Linear complexity and k-error linear complexity of the stream cipher are two important standards to scale the randomicity of key sequences. In this paper, for the period length 2p^n(p〉3), where p is an odd prime and 2 is a primitive root modulo p2 the upper bound on the minimum value k for which the k-error linear complexity is strictly less than the linear complexity is further analyzed and this upper bound can be reached mostly for the period length 2p is proved.
出处 《计算机工程》 CAS CSCD 北大核心 2007年第3期4-5,11,共3页 Computer Engineering
基金 全国优秀博士学位论文专项基金资助项目(200060) 国家自然科学基金资助项目(60373092)
关键词 序列密码 线性复杂度 K-错线性复杂度 Stream cipher Linear complexity k-error linear complexity
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参考文献8

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二级参考文献9

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