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Model and FPGA Implementation of Pseudorandom Sequence Generators Based on Invertible Matrices

机译：基于可逆矩阵的伪随机序列发生器的模型和FPGA实现

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This paper considers a pseudo-random sequence generator in form of a autonomous automaton with the output function. A model of the automaton output function is proposed, which is defined based on a set of invertible matrices, with the capacity relevant to the maximum number of the bijective transformations of two binary variables over the GF(2) field. In the model proposed, there is an algorithmic possibility to modify the structure of pseudo-random sequences read on the automaton output, as related to the input M-sequence within the period equal to 2

机译：本文考虑具有输出功能的自治自动机形式的伪随机序列发生器。提出了自动机输出函数的模型，该模型是基于一组可逆矩阵定义的，其容量与GF（2）字段上两个二进制变量的双射变换的最大数量有关。在提出的模型中，存在一种算法可能性，可以修改在等于2的周期内与输入M序列相关的自动机输出上读取的伪随机序列的结构

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来源
《IEEE East-West Design and Test Symposium》|2018年|1-6|共6页
会议地点 Kazan(RU)
作者
Vjacheslav M. Zakharov; Sergei V. Shalagin; Bulat F. Eminov;
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作者单位

Computer Systems Dept. KNRTU-KAI 10 Karl-Marx str. Kazan 420111 Russia;

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关键词
field programmable gate arrays; matrix algebra; m-sequences; random sequences;

机译：现场可编程门阵列；矩阵代数m序列；随机序列;

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1. Feedback Reconstruction and Implementations of Pseudorandom Number Generators from Composited De Bruijn Sequences [J] . Kalikinkar Mandal, Guang Gong IEEE Transactions on Computers . 2016,第9期

机译：Composited De Bruijn序列的伪随机数生成器的反馈重构和实现
2. Chaos-Based Bitwise Dynamical Pseudorandom Number Generator On FPGA [J] . Miguel Garcia-Bosque, Adrián Pérez-Resa, Carlos Sánchez-Azqueta, Instrumentation and Measurement, IEEE Transactions on . 2019,第1期

机译：FPGA上基于混沌的按位动态伪随机数生成器
3. FPGA acceleration of a pseudorandom number generator based on chaotic iterations [J] . Xiaole Fang, Qianxue Wang, Christophe Guyeux, Information Security Technical Report . 2014,第1期

机译：基于混沌迭代的伪随机数发生器的FPGA加速
4. Model and FPGA Implementation of Pseudorandom Sequence Generators Based on Invertible Matrices [C] . Vjacheslav M. Zakharov, Sergei V. Shalagin, Bulat F. Eminov IEEE East-West Design amp;amp;amp; Test Symposium . 2018

机译：基于可逆矩阵的伪随机序列发生器的模型与FPGA实现
5. Implementation of a software defined radio on FPGAs using system generator [D] . Patel, Tanvika M. 2010

机译：使用系统生成器在FPGA上实现软件定义的无线电
6. A Model-Based Design Floating-Point Accumulator. Case of Study: FPGA Implementation of a Support Vector Machine Kernel Function [O] . Marco Bassoli, Valentina Bianchi, Ilaria De Munari 2020

机译：基于模型的设计浮点累加器。研究案例：支持向量机内核功能的FPGA实现
7. FPGA Design for Pseudorandom Number Generator Based on Chaotic Iteration used in Information Hiding Application [O] . Jacques M. Bahi, Christophe Guyeux, See Profile, 2016

机译：基于混沌迭代的伪随机数发生器FpGa信息隐藏应用设计

Model and FPGA Implementation of Pseudorandom Sequence Generators Based on Invertible Matrices

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