Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (13): 90-92.DOI: 10.3778/j.issn.1002-8331.2009.13.027
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QI Chuan-da1,LI Gang2
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祁传达1,李 刚2
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Abstract: The problem of generation trinomials for GMW-sequences is studied.The structure and count of generation trinomials for GMW-sequences is presented.It is proved that the amount of generation trinomials for GMW-sequences is less than m-sequences with the same period.It is explained that intensity of GMW-sequences resist the fast correlation attacks is greater than m-sequences with the same period.
Key words: GMW sequences, m-sequences, auto-correlate function, trace function
摘要: 研究了GMW-序列的三项生成多项式问题,给出了其三项生成多项式的结构和计数,证明了其三项生成多项式个数远远少于同周期的m-序列,这说明GMW-序列在抵抗快速相关攻击的能力方面要强于同周期的m-序列。
关键词: GMW-序列, m-序列, 自相关函数, 迹函数
QI Chuan-da1,LI Gang2. Generation trinomials of GMW-sequences[J]. Computer Engineering and Applications, 2009, 45(13): 90-92.
祁传达1,李 刚2. GMW-序列的三项生成多项式[J]. 计算机工程与应用, 2009, 45(13): 90-92.
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URL: http://cea.ceaj.org/EN/10.3778/j.issn.1002-8331.2009.13.027
http://cea.ceaj.org/EN/Y2009/V45/I13/90