A Transformation From the Fibonacci to the Galois NLFSRs

Dubrova E.

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A Transformation From the Fibonacci to the Galois NLFSRs

机译：从斐波那契到伽罗瓦NLFSR的转变

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Conventional nonlinear feedback shift registers (NLFSRs) use the Fibonacci configuration in which the feedback is applied to the last bit only. In this paper, we show how to transform a Fibonacci NLFSR into an equivalent NLFSR in the Galois configuration, in which the feedback can be applied to every bit. Such a transformation can potentially reduce the depth of the circuits implementing feedback functions, thus decreasing the propagation time and increasing the throughput.

机译：传统的非线性反馈移位寄存器（NLFSR）使用Fibonacci配置，其中反馈仅应用于最后一位。在本文中，我们展示了如何在Galois配置中将斐波那契NLFSR转换为等效的NLFSR，在该配置中，反馈可以应用于每个位。这种变换可以潜在地减小实现反馈功能的电路的深度，从而减少传播时间并增加吞吐量。

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《Information Theory, IEEE Transactions on》 |2009年第11期|p.5263-5271|共9页
作者
Dubrova E.;
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正文语种 eng
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关键词
Fibonacci NLFSR; Galois NLFSR; keystream; pseudorandom sequence; stream cipher;

机译：Fibonacci NLFSR;Galois NLFSR;密钥流;伪随机序列;流密码;

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1. The transformation between the Galois NLFSRs and the Fibonacci NLFSRs via semi-tensor product of matrices [J] . Lu Jianquan, Li Meilin, Huang Tingwen, Automatica . 2018,第期

机译：通过矩阵半张量产品的Galois NLFSRS和Fibonacci NLFSR之间的转换
2. Finding Matching Initial States for Equivalent NLFSRs in the Fibonacci and the Galois Configurations [J] . Dubrova E. Information Theory, IEEE Transactions on . 2010,第6期

机译：在斐波那契和伽罗瓦构造中找到等效的NLFSR的匹配初始状态
3. Cryptanalysis of the class of maximum period galois NLFSR-based stream ciphers [J] . Yao Ge, Parampalli Udaya Cryptography and Communications . 2021,第5期

机译：基于最大伽罗米的最大伽罗米族流射频分析
4. The Transformation from the Galois NLFSR to the Fibonacci Configuration [C] . Zhiqiang Lin 2013 Fourth International Conference on Emerging Intelligent Data and Web Technologies . 2013

机译：从Galois NLFSR到Fibonacci配置的转变
5. Galois module structure of Galois cohomology. [D] . Schultz, Andrew. 2007

机译：Galois同调的Galois模块结构。
6. Novel Fibonacci and non-Fibonacci structure in the sunflower: results of a citizen science experiment [O] . Jonathan Swinton, Erinma Ochu 2016

机译：向日葵中的新型斐波那契和非斐波那契结构：一项公民科学实验的结果
7. 1 Finding Matching Initial States for Equivalent NLFSRs in the Fibonacci and the Galois Configurations [O] . Elena Dubrova 2010

机译：1在Fibonacci和Galois配置中找到等效NLFsR的匹配初始状态

A Transformation From the Fibonacci to the Galois NLFSRs

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