A counterexample concerning the 3-error linear complexity of 2~n -periodic binary sequences

Jianqin Zhou

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A counterexample concerning the 3-error linear complexity of 2~n -periodic binary sequences

机译：关于2〜n周期二进制序列的3误差线性复杂度的反例

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摘要

In this article, we present a counterexample to Theorem 4.2 and Theorem 5.2 by Kavuluru (Des Codes Cryptogr 53:75-97,2009). We conclude that the counting functions for the number of 2" -periodic binary sequences with fixed 3-error linear complexity by Kavuluru are not correct.

机译：在本文中，我们提供了Kavuluru的定理4.2和定理5.2的反例（Des Codes Cryptogr 53：75-97，2009）。我们得出的结论是，Kavuluru对固定3误差线性复杂度的2“周期二进制序列数的计数函数是不正确的。

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来源
《Designs, Codes and Crytography》 |2012年第3期|p.285-286|共2页
作者
Jianqin Zhou;
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作者单位

Telecommunication School, Hangzhou Dianzi University, Hangzhou 310018, 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
periodic sequence; linear complexity; k-error linear complexity;

机译：周期序列线性复杂度;k误差线性复杂度;

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专利

1. Characterization of 2~n -periodic binary sequences with fixed 2-error or 3-error linear complexity [J] . Ramakanth Kavuluru Designs, Codes and Crytography . 2009,第2期

机译：具有固定2误差或3误差线性复杂度的2〜n个周期二进制序列的特征
2. Characterization of 2n-periodic binary sequences with fixed 2-error or 3-error linear complexity [J] . Ramakanth Kavuluru Designs, Codes and Cryptography . 2009,第2期

机译：具有固定2误差或3误差线性复杂度的2 n 周期二进制序列的特征
3. THE 2-ERROR LINEAR COMPLEXITY OF 2~n-PERIODIC BINARY SEQUENCES WITH LINEAR COMPLEXITY 2~n -1 [J] . Zhu Fengxiang, Qi Wenfeng Journal of Electronics (CHINA) . 2007,第3期

机译：具有线性复杂度2〜n -1的2〜n-周期二元序列的2误差线性复杂度
4. The Linear Complexity and 2-Error Linear Complexity Distribution of 2~n-Periodic Binary Sequences with Fixed Hamming Weight [C] . Wenlun Pan, Zhenzhen Bao, Dongdai Lin, International conference on information and communications security . 2016

机译：具有固定汉明权重的2〜n-周期二元序列的线性复杂度和2-误差线性复杂度分布
5. On periodic correlation of binary sequences. [D] . Yu, Nam Yul. 2007

机译：关于二进制序列的周期性相关。
6. Identifying Odd/Even-Order Binary Kernel Slices for a Nonlinear System Using Inverse Repeat m-Sequences [O] . Jin-yan Hu, Gang Yan, Tao Wang 2015

机译：使用反向重复m序列识别非线性系统的奇/偶数二进制核切片
7. Characterization of $2^n$-periodic binary sequences with fixed 3-error or 4-error linear complexity [O] . Zhou, Jianqin, Liu, Jun, Liu, Wanquan 2011

机译：具有固定3错误的$ 2 ^ n $周期二进制序列的表征或4误差线性复杂度

A counterexample concerning the 3-error linear complexity of 2~n -periodic binary sequences

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