On the linear complexity for multidimensional sequences

Gomez-Perez Domingo; Sha Min; Tirkel Andrew

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On the linear complexity for multidimensional sequences

机译：关于多维序列的线性复杂度

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In this paper, we define the linear complexity for multidimensional sequences over finite fields, generalizing the one-dimensional case. We give some lower and upper bounds, valid with large probability, for the linear complexity and k-error linear complexity of multidimensional periodic sequences. (C) 2018 Elsevier Inc. All rights reserved.

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来源
《Journal of complexity》 |2018年第12期|46-55|共10页
作者
Gomez-Perez Domingo; Sha Min; Tirkel Andrew;
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作者单位

Univ Cantabria, Dept Math Stat & Comp Sci, E-39005 Santander, Spain;

Macquarie Univ, Dept Comp, Sydney, NSW 2109, Australia;

Sci Technol Pty Ltd, 8 Cecil St, East Brighton, Vic 3187, Australia;

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正文语种 eng
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关键词
Multidimensional sequence; Linear complexity; k-error linear complexity;

机译：多维序列;线性复杂度;k-误差线性复杂度;

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1. How to determine linear complexity and k-error linear complexity in some classes of linear recurring sequences [J] . Wilfried Meidl Cryptography and Communications . 2009,第1期

机译：如何确定某些类别的线性循环序列中的线性复杂度和k误差线性复杂度
2. 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
3. THE 2-ERROR LINEAR COMPLEXITY OF 2n-PERIODIC BINARY SEQUENCES WITH LINEAR COMPLEXITY 2n-1 [J] . Zhu Fengxiang, Qi Wenfeng 电子科学学刊（英文版） . 2007,第003期

机译：线性复杂度为2n-1的2n周期二元序列的2误差线性复杂度
4. GF(q) sequences of period q/sup n/-1 with maximum linear complexity and maximum order complexities for minimum changes of m-sequences [C] . Imamura, K., Uehara, . 1994

机译：q / sup n / -1周期的GF（q）序列具有最大的线性复杂度和最大阶复杂度，m序列的变化最小
5. The linear complexity of sequences with desirable correlation. [D] . Wang, Qi. 2011

机译：具有所需相关性的序列的线性复杂度。
6. A classification approach for genotyping viral sequences based on multidimensional scaling and linear discriminant analysis [O] . Jiwoong Kim, Yongju Ahn, Kichan Lee, 2010

机译：基于多维标度和线性判别分析的病毒序列基因分型方法
7. On the linear complexity for multidimensional sequences [O] . Domingo Gómez-Pérez, Min Sha, Andrew Tirkel 2018

机译：关于多维序列的线性复杂性

On the linear complexity for multidimensional sequences

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