On the spectral immunity of periodic sequences restricted to binary annihilators

Wu Di; Qi Wenfeng; Chen Huajin

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On the spectral immunity of periodic sequences restricted to binary annihilators

机译：关于限于二元an灭子的周期序列的谱抗扰度

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Spectra attacks proposed recently are more data efficient than algebraic attacks against stream cipher. They are also time-and-space efficient. A measurement of the security of a stream cipher against spectra attacks is the spectral immunity, the lowest linear complexity of annihilators of the key stream. Under the restriction to binary annihilators, this paper first studies the tight upper bound on spectral immunities of periodic sequences, and sequences whose spectral immunities achieve this upper bound are corresponding to Boolean functions achieving optimal algebraic immunities. Secondly, the asymptotic behavior on spectral immunities of sequences corresponding to n-variable balanced Boolean functions is discussed, which shows that almost all such sequences have high spectral immunities.

机译：最近提出的频谱攻击比针对流密码的代数攻击具有更高的数据效率。它们还具有时空效率。流密码对频谱攻击的安全性的度量是频谱免疫，这是密钥流的hil灭者的最低线性复杂度。在二元零化子的限制下，本文首先研究了周期序列谱免疫的严格上限，谱免疫达到该上限的序列对应于实现最佳代数免疫的布尔函数。其次，讨论了与n变量平衡布尔函数相对应的序列在光谱免疫上的渐近行为，这表明几乎所有此类序列都具有较高的光谱免疫性。

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来源
《Designs, Codes and Crytography》 |2016年第2期|533-545|共13页
作者
Wu Di; Qi Wenfeng; Chen Huajin;
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作者单位

Zhengzhou Informat Sci & Technol Inst, State Key Lab Math Engn & Adv Comp, POB 1001-745, Zhengzhou 450002, Peoples R China;

Zhengzhou Informat Sci & Technol Inst, State Key Lab Math Engn & Adv Comp, POB 1001-745, Zhengzhou 450002, Peoples R China;

Zhengzhou Informat Sci & Technol Inst, State Key Lab Math Engn & Adv Comp, POB 1001-745, Zhengzhou 450002, Peoples R China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Algebraic attacks; Spectra attacks; Spectral immunity; Upper bound; Periodic sequences;

机译：代数攻击;谱攻击;谱抗扰度;上限;周期序列;

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2. ODD-PERIODIC AND PERIODIC COMPLEMENTARY BINARY SEQUENCES [J] . Wen Hong, Hu Fei, Jin Fan 电子科学学刊（英文版） . 2005,第001期

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3. Prime-phase sequences with periodic correlation properties better than binary sequences [J] . Kumar P.V., Moreno O. IEEE Transactions on Information Theory . 1991,第3期

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4. Generation of binary pseudo-random sequences with quasi-perfect periodic and inverse periodic autocorrelations for radar systems [C] . Valery Shcherbakov, Konstantin Lukin International Radar Symposium . 2017

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On the spectral immunity of periodic sequences restricted to binary annihilators

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