On the quadratic span of binary sequences

Rizomiliotis P.; Kolokotronis N.; Kalouptsidis N.

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On the quadratic span of binary sequences

机译：关于二进制序列的二次跨度

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摘要

The problem of finding the shortest feedback shift register, with quadratic feedback function that generates a given finite-length sequence is considered. An algorithm for the determination of the quadratic span and the feedback function, which takes advantage of the special block structure of the associated system of linear equations, is proposed.

机译：考虑了寻找具有产生给定有限长度序列的二次反馈功能的最短反馈移位寄存器的问题。提出了一种确定二次跨度和反馈函数的算法，该算法利用了线性方程组相关系统的特殊块结构。

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《IEEE Transactions on Information Theory》 |2005年第5期|p.1840-1848|共9页
作者
Rizomiliotis P.; Kolokotronis N.; Kalouptsidis N.;
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正文语种 eng
中图分类无线电电子学、电信技术;
关键词
binary sequences; linear systems; matrix algebra; random sequences; binary sequence; finite-length sequence; linear equation; quadratic span; shift register; shortest feedback function; Binary sequences; feedback functions; linear span; quadratic span; shift registers;

机译：二进制序列线性系统矩阵代数随机序列二进制序列有限长度序列线性方程二次跨度移位寄存器最短反馈函数二进制序列反馈函数线性跨度二次跨度移位寄存器;

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专利

1. On the linear span of binary sequences obtained from q-ary m-sequences, q odd [J] . Chan A.H., Games R.A. IEEE Transactions on Information Theory . 1990,第3期

机译：从q元m序列获得的二进制序列的线性跨度上
2. New Families Of Binary Low Correlation Zone Sequences Based On Interleaved Quadratic Form Sequences [J] . Zhengchun ZHOU, Xiaohu TANG IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences . 2008,第11期

机译：基于交错二次型序列的二元低相关区序列的新族
3. On the quadratic spans of DeBruijn sequences [J] . Chan A.H., Games R.A. IEEE Transactions on Information Theory . 1990,第4期

机译：关于DeBruijn序列的二次跨度
4. On the Quadratic Span of Binary Sequences [C] . Panagiotis Rizomiliotis, Nicholas Kolokotronis, Nicholas Kalouptsidis IEEE International Symposium on Information Theory . 2003

机译：关于二进制序列的二次跨度
5. On Sequences Related to Binary Partition Function and the Thue-Morse Sequence [D] . Ekvittayaniphon, Sakulbuth. 2018

机译：在与二进制分区函数和THUE-MORSE序列相关的序列上
6. The Quadratic Hazard Model for Analyzing Longitudinal Data on Aging Health and the Life Span [O] . A.I. Yashin, K.G. Arbeev, I. Akushevich, -1

机译：用于分析老化健康和寿命的纵向数据的二次危险模型
7. On the Quadratic Spans of Periodic Sequences [O] . Agnes Hui Chan, Richard A. Games -1

机译：在周期序列的二次跨度
8. The Linear Span of A Binary Sequence Family with Optimal Correlation Properties [R] . Lu, J. Q. 2009

机译：具有最佳相关特性的二元序列族的线性跨度

On the quadratic span of binary sequences

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