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)
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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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關(guān)鍵詞:
- 流密碼 /
- 廣義分圓序列 /
- 線性復(fù)雜度 /
- 極小多項(xiàng)式
Abstract: Based on the theory of generalized cyclotomic, a new class of binaey generalized cyclotomic sequences of order four with period2p2 is established. Using the theory of polynomial factor over finite field, the linear complexity and minimal polynomial of the new sequences are researched. Results show that the sequences has larger linear complexity and can resist the attack by B-M algorithm. It is a good sequence from the viewpoint of cryptography.-
Key words:
- Stream ciphers /
- Generalized cyclotomic sequence /
- Linear complexity /
- Minimal polynomial
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