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若干类广义自缩序列的最小周期 被引量:1

On Least Periods of Some Generalized Self-shrinking Sequences
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摘要 讨论若干类广义自缩序列的最小周期,如:b(ak-2+ak+1),b(ak-1+ak+2),b(ak-2+ak-1+ak+1),b(ak-1+ak+1+ak+2),…,等,通过分析比特串00出现次数的奇偶性,均在半数情形下证明了它们的最小周期达到最大,即2n-1。 This paper discusses the least periods of generalized self-shrinking sequences b(a(k-2)+a(k+1)),b(a(k-1)+a(k+2)),b(a(k-2)+a(k-1)+a(k+1)),b(a(k-1)+a(k+1)+a(k+2)),…,etc.By analysing the appearing times of the bit string "00" in these generalized selfshrink- ing sequences ,it is proved that in half cases their least periods reach the maximum ,namely 2^n-t.
出处 《计算机工程与应用》 CSCD 北大核心 2006年第30期35-37,共3页 Computer Engineering and Applications
基金 国家自然科学基金资助项目(编号:60473142)
关键词 序列密码 M-序列 广义自缩序列 最小周期 stream cipher, m-sequence, generalized self-shrinking sequence,least period
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