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周期為2p2 的四階二元廣義分圓序列的線性復(fù)雜度

杜小妮 王國(guó)輝 魏萬銀

杜小妮, 王國(guó)輝, 魏萬銀. 周期為2p2 的四階二元廣義分圓序列的線性復(fù)雜度[J]. 電子與信息學(xué)報(bào), 2015, 37(10): 2490-2494. doi: 10.11999/JEIT150180
引用本文: 杜小妮, 王國(guó)輝, 魏萬銀. 周期為2p2 的四階二元廣義分圓序列的線性復(fù)雜度[J]. 電子與信息學(xué)報(bào), 2015, 37(10): 2490-2494. doi: 10.11999/JEIT150180
Du Xiao-ni, Wang Guo-hui, Wei Wan-yin. Linear Complexity of Binary Generalized Cyclotomic Sequences of Order Four with Period2p2[J]. Journal of Electronics & Information Technology, 2015, 37(10): 2490-2494. doi: 10.11999/JEIT150180
Citation: Du Xiao-ni, Wang Guo-hui, Wei Wan-yin. Linear Complexity of Binary Generalized Cyclotomic Sequences of Order Four with Period2p2[J]. Journal of Electronics & Information Technology, 2015, 37(10): 2490-2494. doi: 10.11999/JEIT150180

周期為2p2 的四階二元廣義分圓序列的線性復(fù)雜度

doi: 10.11999/JEIT150180
基金項(xiàng)目: 

國(guó)家自然科學(xué)基金(61202395, 61462077, 61262057)和教育部新世紀(jì)優(yōu)秀人才支持計(jì)劃基金(NCET-12-0620)

Linear Complexity of Binary Generalized Cyclotomic Sequences of Order Four with Period2p2

Funds: 

The National Natural Science Foundation of China (61202395, 61462077, 61262057, 61562077)

  • 摘要: 該文基于分圓理論,構(gòu)造了一類周期為2p2的四階二元廣義分圓序列。利用有限域上多項(xiàng)式分解理論研究序列的極小多項(xiàng)式和線性復(fù)雜度。結(jié)果表明,該序列具有良好的線性復(fù)雜度性質(zhì),能夠抗擊B-M算法的攻擊。是密碼學(xué)意義上性質(zhì)良好的偽隨機(jī)序列。
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出版歷程
  • 收稿日期:  2015-02-02
  • 修回日期:  2015-07-01
  • 刊出日期:  2015-10-19

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