一类可控序列的构造和分析
CONSTRUCTING AND ANALYSING A CLASS OF CONTROLLABLE SEQUENCES
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摘要: 本文通过利用GF(2m)(m2)上L级m序列来控制其上的L级m序列的方法,构造出了一类具有较高线性复杂度的周期序列。这类序列的线性复杂度的下界为L((L+1)mLm)。
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关键词:
- 线性复杂度; 可控序列; 反馈多项式
Abstract: Using m-sequence over the finite field GF(2m) of degree L to controll m-sequence over GF(2m) of degree L, a class of periodic sequences with large linear complexity is constructed. The lower bounds of the linear complexity of the sequences are L((L+1)m- Lm). -
肖国镇,梁传甲,王育民.伪随机序列及其应用.北京:国防工业出版社,1985,第二章.[2]万哲先.代数和编码.北京:科学出版社,1980,第三章.[3]Lennart Brynielasou.[J].On the Linear Complexity of Combined Shift Register Sequences. Advances in Cryptology-EUROCRYPTO85, Springer-verlag.1985,:-[4]孙登峰.密码与信息,1991,(3): 1-18. -
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