Trace Representation of a New Class of Sextic Residue Sequences of Period p ≡ 3 (mod 8)

Xiaoni DU; Zhixiong CHEN; Ailing SHI; Rong SUN

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Trace Representation of a New Class of Sextic Residue Sequences of Period p ≡ 3 (mod 8)

机译：周期p≡3（mod 8）的一类新的性残基序列的痕迹表示

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摘要

A new class of sextic residue sequences of period prime p = 4u~2 + 27 = 6f + 1 =3 (mod 8) are presented. Their trace function representations are determined. And the exact value of the linear complexity is derived from the trace function representations. The result indicates that the new sextic sequences are quite good from the linear complexity viewpoint.

机译：提出了一类新的周期素数p = 4u〜2 + 27 = 6f + 1 = 3（mod 8）的性别残基序列。确定其跟踪函数表示形式。线性复杂度的精确值是从跟踪函数表示中得出的。结果表明，从线性复杂度的角度来看，新的性别序列非常好。

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来源
《IEICE Transactions on fundamentals of electronics, communications & computer sciences 》 |2009年第1期| 668-670| 共3页
作者
Xiaoni DU; Zhixiong CHEN; Ailing SHI; Rong SUN;
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作者单位

College of Mathematics and Informa- tion Science, Northwest Normal Univ., Lanzhou, Gansu 730070, P.R. China State Key Laboratory of Information Se- curity, Graduate University of Chinese Academy of Sciences, Bei- jing 100039, P.R. China;

Key Lab of Applied Mathematics, Putian University, Putian, Fujian 351100, P.R. China;

Department Of Basic Science BUCEA, Beijing, 100044, P.R. China;

State Key Lab. of Integrated Service Networks, Xidian Univ., Xi'an, Shaanxi 710071, P.R. China;

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原文格式 PDF
正文语种 eng
中图分类
关键词
stream cipher; sextic residue sequences; trace function; linear complexity;

机译：流密码性残基序列;跟踪功能;线性复杂度;

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Trace Representation of a New Class of Sextic Residue Sequences of Period p ≡ 3 (mod 8)

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