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Feedback shift registers (FSRs), which have two configurations: Fibonacci and Galois, are a primitive building block in stream ciphers. In this paper, an improved transformation is proposed between Fibonacci FSRs and Galois FSRs. In the…

Information Theory · Computer Science 2020-06-29 Bowen Li , Shiyong Zhu , Jianquan Lu

Many Control Systems are indeed Software Based Control Systems, i.e. control systems whose controller consists of control software running on a microcontroller device. This motivates investigation on Formal Model Based Design approaches for…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-02-25 Vadim Alimguzhin , Federico Mari , Igor Melatti , Ivano Salvo , Enrico Tronci

Gaussian random number generators attract a widespread interest due to their applications in several fields. Important requirements include easy implementation, tail accuracy, and, finally, a flat spectrum. In this work, we study the…

Information Theory · Computer Science 2024-04-04 Francisco-Javier Soto , Ana I. Gómez , Domingo Gómez-Pérez

Sequential computation is well understood but does not scale well with current technology. Within the next decade, systems will contain large numbers of processors with potentially thousands of processors per chip. Despite this, many…

Hardware Architecture · Computer Science 2015-11-17 James Hanlon

Quantum circuit synthesis is the process in which an arbitrary unitary operation is decomposed into a sequence of gates from a universal set, typically one which a quantum computer can implement both efficiently and fault-tolerantly. As…

Quantum Physics · Physics 2016-10-17 Olivia Di Matteo , Michele Mosca

Finite-state transducers (FSTs) are frequently used in speech recognition. Transducer composition is an essential operation for combining different sources of information at different granularities. However, composition is also one of the…

Computation and Language · Computer Science 2021-10-07 Shubho Sengupta , Vineel Pratap , Awni Hannun

Stochastic computing (SC) presents high error tolerance and low hardware cost, and has great potential in applications such as neural networks and image processing. However, the bitstream generator, which converts a binary number to…

Emerging Technologies · Computer Science 2019-04-23 Yawen Zhang , Runsheng Wang , Xinyue Zhang , Zherui Zhang , Jiahao Song , Zuodong Zhang , Yuan Wang , Ru Huang

We introduce the Romu family of pseudo-random number generators (PRNGs) which combines the nonlinear operation of rotation with the linear operations of multiplication and (optionally) addition. Compared to conventional linear-only PRNGs,…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-27 Mark A. Overton

Nonlinear complexity is an important measure for assessing the randomness of sequences. In this paper we investigate how circular shifts affect the nonlinear complexities of finite-length binary sequences and then reveal a more explicit…

Information Theory · Computer Science 2024-04-26 Qin Yuan , Chunlei Li , Xiangyong Zeng , Tor Helleseth , Debiao He

More and more large data collections are gathered worldwide in various IT systems. Many of them possess the networked nature and need to be processed and analysed as graph structures. Due to their size they require very often usage of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-04 Tomasz Kajdanowicz , Przemyslaw Kazienko , Wojciech Indyk

Frequency synthesis (FS) is a technique vital for all kinds of radio frequency (RF) communications, such as: mobile phones, Bluetooth, Wi-Fi, radio, TV and satellite, and in other equipment requiring periodic signals of stable and…

Signal Processing · Electrical Eng. & Systems 2019-02-27 Mario Stipčević

In this paper, the construction of finite-length binary sequences whose nonlinear complexity is not less than half of the length is investigated. By characterizing the structure of the sequences, an algorithm is proposed to generate all…

Information Theory · Computer Science 2023-12-27 Sicheng Liang , Xiangyong Zeng , Zibi Xiao , Zhimin Sun

This paper compares the performance of conventional radix-2 program counters with program counters based on Feedback Shift Registers (FSRs), a class of cyclic sequence generator. FSR counters have constant time scaling with bit-width, $N$,…

Hardware Architecture · Computer Science 2019-08-28 P. A. Suggate , R. W. Ward , T. C. A. Molteno

Certain applications require the use of signals that combine both the capability to operate with low signal-to-noise ratios and the ability to support multiple users without interference. In the case where many users have very different…

Information Theory · Computer Science 2021-03-10 Patricio G. Donato , Matias N. Hadad , Marcos A. Funes

Linear Finite State Machines (LFSMs) are particular primitives widely used in information theory, coding theory and cryptography. Among those linear automata, a particular case of study is Linear Feedback Shift Registers (LFSRs) used in…

Cryptography and Security · Computer Science 2015-03-17 François Arnault , Thierry Berger , Marine Minier , Benjamin Pousse

The objective of this paper is to solve the controller synthesis problem for bisimulation equivalence in a wide variety of scenarios including discrete-event systems, nonlinear control systems, behavioral systems, hybrid systems and many…

Optimization and Control · Mathematics 2007-11-22 Paulo Tabuada

In this work, a classical problem of the digital sequence design, or more precisely, finding binary sequences with optimal peak sidelobe level (PSL), is revisited. By combining some of our previous works, together with some mathematical…

Signal Processing · Electrical Eng. & Systems 2021-04-22 Miroslav Dimitrov , Tsonka Baitcheva , Nikolay Nikolov

Serial and parallel algorithms for simulation of tandem queueing systems with infinite buffers are presented, and their performance is examined. It is shown that the algorithms which are based on a simple computational procedure involve low…

Numerical Analysis · Mathematics 2012-10-25 Sergei M. Ermakov , Nikolai K. Krivulin

The asynchronous systems are the non-deterministic models of the asynchronous circuits from the digital electrical engineering, where non-determinism is a consequence of the fact that modelling is made in the presence of unknown and…

Other Computer Science · Computer Science 2012-06-22 Serban E. Vlad

In typical embedded applications, the precise execution time of the program does not matter, and it is sufficient to meet a real-time deadline. However, modern applications in information security have become much more time-sensitive, due…

Cryptography and Security · Computer Science 2020-05-07 Pantea Kiaei , Patrick Schaumont