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Conventional Non-Linear Feedback Shift Registers (NLFSRs) use the Fibonacci configuration in which the value of the first bit is updated according to some non-linear feedback function of previous values of other bits, and each remaining bit…

Cryptography and Security · Computer Science 2008-01-30 Elena Dubrova

Binary machines are a generalization of Feedback Shift Registers (FSRs) in which both, feedback and feedforward, connections are allowed and no chain connection between the register stages is required. In this paper, we present an algorithm…

Cryptography and Security · Computer Science 2011-05-24 Elena Dubrova

The use of three extractors, fed by linear feedback shift registers (LFSR) for generating pseudo-random bit streams is investigated. Specifically, a standard LFSR is combined with a von Neumann extractor, a modified LFSR, extended by the…

Cryptography and Security · Computer Science 2024-04-19 Holger Nobach

Linear-feedback shift register (LFSR) based pseudo-random number generator (PRNG) has applications in a plethora of fields. The issue of being linear is generally circumvented by introducing non-linearities as per the required applications,…

Due to their simple construction, LFSRs are commonly used as building blocks in various random number generators. Nonlinear feedforward logic is incorporated in LFSRs to increase the linear complexity of the generated sequence. In this…

Information Theory · Computer Science 2020-01-13 Suman Roy , Srinivasan Krishnaswamy

An efficient algorithm for computing lower bounds on the global linear complexity of nonlinearly filtered PN-sequences is presented. The technique here developed is based exclusively on the realization of bit wise logic operations, which…

Cryptography and Security · Computer Science 2015-03-17 A. Fúster-Sabater , P. Caballero-Gil

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

Registers with Non-Linear Update (RNLUs) are a generalization of Non-Linear Feedback Shift Registers (NLFSRs) in which both, feedback and feedforward, connections are allowed and no chain connection between the stages is required. In this…

Information Theory · Computer Science 2013-06-25 Nan Li , Elena Dubrova

Linear feedback shift registers (LFSRs) are used to generate secret keys in stream cipher cryptosystems. There are different kinds of key-stream generators like filter generators, combination generators, clock-controlled generators, etc.…

Number Theory · Mathematics 2025-07-25 Soniya Takshak , Rajendra Kumar Sharma

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

LFSR-based stream ciphers with nonlinear filters or combiners are susceptible to algebraic attacks using linearization methods to solve an overdefined system of nonlinear equations. And this process is greatly enhanced if the filtering or…

Information Theory · Computer Science 2014-12-24 Hatem Najdi

Being able to identify functions of interest in cross-architecture software is useful whether you are analysing for malware, securing the software supply chain or conducting vulnerability research. Cross-Architecture Binary Code Similarity…

Cryptography and Security · Computer Science 2023-11-30 Josh Collyer , Tim Watson , Iain Phillips

The nonlinear filter model is an old and well understood approach to the design of secure stream ciphers. Extensive research over several decades has shown how to attack stream ciphers based on this model and has identified the security…

Cryptography and Security · Computer Science 2025-12-23 Claude Carlet , Palash Sarkar

The use of low-rank approximation filters in the field of NMR is increasing due to their flexibility and effectiveness. Despite their ability to reduce the Mean Square Error between the processed signal and the true signal is well known,…

Data Analysis, Statistics and Probability · Physics 2023-10-05 R. Francischello , M. F. Santarelli , A. Flori , L. Menichetti , M. Geppi

The aim of this paper is to provide a variational interpretation of the nonlinear filter in continuous time. A time-stepping procedure is introduced, consisting of successive minimization problems in the space of probability densities. The…

Optimization and Control · Mathematics 2014-12-19 Richard S. Laugesen , Prashant G. Mehta , Sean P. Meyn , Maxim Raginsky

In cryptanalysis, security of ciphers vis-a-vis attacks is gauged against three criteria of complexities, i.e., computations, memory and time. Some features may not be so apparent in a particular domain, and their analysis in a transformed…

Cryptography and Security · Computer Science 2015-03-23 Muhammad Asad Khan , Amir A Khan , Fauzan Mirza

A systematic method for the design of linear residual generators for combined fault detection and estimation in nonlinear systems is developed. The proposed residual generator is a linear functional observer built for an extended system…

Systems and Control · Electrical Eng. & Systems 2026-01-01 Sunjeev Venkateswaran , Costas Kravaris

Negative refraction has attracted much interest for its promising capability in imaging applications. Such an effect can be implemented by negative index meta-materials, however, which are usually accompanied by high loss and demanding…

Optics · Physics 2016-05-25 Jianjun Cao , Dongyi Shen , Yaming Feng , Wenjie Wan

One of the big challenges in program obfuscation consists in modifying not only the program's straight-line code (SLC) but also the program's control flow graph (CFG). Indeed, if only SLC is modified, the program's CFG can be extracted and…

Cryptography and Security · Computer Science 2017-09-26 Rémi Géraud , Mirko Koscina , Paul Lenczner , David Naccache , David Saulpic

Binary analysis is a core component of many critical security tasks, including reverse engineering, malware analysis, and vulnerability detection. Manual analysis is often time-consuming, but identifying commonly-used or previously-seen…

Machine Learning · Computer Science 2024-10-31 Rebecca Saul , Chang Liu , Noah Fleischmann , Richard Zak , Kristopher Micinski , Edward Raff , James Holt
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