一類可控序列的構(gòu)造和分析
CONSTRUCTING AND ANALYSING A CLASS OF CONTROLLABLE SEQUENCES
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摘要: 本文通過利用GF(2m)(m2)上L級m序列來控制其上的L級m序列的方法,構(gòu)造出了一類具有較高線性復(fù)雜度的周期序列。這類序列的線性復(fù)雜度的下界為L((L+1)mLm)。
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關(guān)鍵詞:
- 線性復(fù)雜度; 可控序列; 反饋多項式
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). -
肖國鎮(zhèn),梁傳甲,王育民.偽隨機序列及其應(yīng)用.北京:國防工業(yè)出版社,1985,第二章.[2]萬哲先.代數(shù)和編碼.北京:科學(xué)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]孫登峰.密碼與信息,1991,(3): 1-18. -
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