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Pseudorandom number generation (PRNG) is a key element in hardware security platforms like field-programmable gate array FPGA circuits. In this article, 18 PRNGs belonging in 4 families (xorshift, LFSR, TGFSR, and LCG) are physically…

Cryptography and Security · Computer Science 2016-11-28 Mohammed Bakiri , Jean-François Couchot , Christophe Guyeux

Sequence generators obtained by linear recursions over the two-element field $\mathbb{F}_2$, i.e., $\mathbb{F}_2$-linear generators, are widely used as pseudorandom number generators. For example, the Mersenne Twister MT19937 is one of the…

Numerical Analysis · Computer Science 2016-06-21 Shin Harase

Goldreich suggested candidates of one-way functions and pseudorandom generators included in $\mathsf{NC}^0$. It is known that randomly generated Goldreich's generator using $(r-1)$-wise independent predicates with $n$ input variables and…

Cryptography and Security · Computer Science 2014-06-03 Ryuhei Mori , Takeshi Koshiba , Osamu Watanabe , Masaki Yamamoto

Security of information transmitted through the Internet, against passive or active attacks is an international concern. The use of a chaos-based pseudo-random bit sequence to make it unrecognizable by an intruder, is a field of research in…

Cryptography and Security · Computer Science 2010-04-15 Qianxue Wang , Christophe Guyeux , Jacques M. Bahi

In this article, we propose a new counter-based implementation of John von Neumann's middle-square random number generator (RNG). Several rounds of squaring are applied to a counter to produce a random output. We discovered that four rounds…

Data Structures and Algorithms · Computer Science 2022-03-15 Bernard Widynski

Quantum random number generators (QRNG) based on continuous variable (CV) quantum fluctuations offer great potential for their advantages in measurement bandwidth, stability and integrability. More importantly, it provides an efficient and…

Quantum Physics · Physics 2021-07-30 Xiaomin Guo , Mingchuan Wu , Jiangjiang Zhang , Ziqing Wang , Yu Wang , Yanqiang Guo

We present a new approach to constructing unconditional pseudorandom generators against classes of functions that involve computing a linear function of the inputs. We give an explicit construction of a pseudorandom generator that fools the…

Computational Complexity · Computer Science 2015-11-19 Parikshit Gopalan , Daniel Kane , Raghu Meka

Pseudorandomness has played a central role in modern cryptography, finding theoretical and practical applications to various fields of computer science. A function that generates pseudorandom strings from shorter but truly random seeds is…

Formal Languages and Automata Theory · Computer Science 2016-10-25 Tomoyuki Yamakami

We give three new algorithms for efficient in-place estimation, without using ancilla qubits, of average fidelity of a quantum logic gate acting on a d-dimensional system using much fewer random bits than what was known so far. Previous…

Quantum Physics · Physics 2019-01-23 Aditya Nema , Pranab Sen

Quantum random-number generators (QRNGs) can offer a means to generate information-theoretically provable random numbers, in principle. In practice, unfortunately, the quantum randomness is inevitably mixed with classical randomness due to…

Quantum Physics · Physics 2013-06-25 Xiongfeng Ma , Feihu Xu , He Xu , Xiaoqing Tan , Bing Qi , Hoi-Kwong Lo

Pseudo-Random Bit Generation (PRBG) is required in many aspects of cryptography as well as in other applications of modern security engineering. In this work, PRBG based on 2D symmetrical chaotic mappings of logistic type is considered. The…

Chaotic Dynamics · Physics 2008-01-28 C. Pellicer-Lostao , R. Lopez-Ruiz

We define two a priori tests of pseudo-random number generators for the class of linear matrix-recursions. The first desirable property of a random number generator is the smallness of serial or lagged correlations between generated…

Data Analysis, Statistics and Probability · Physics 2018-04-06 Spyros Konitopoulos , Konstantin G. Savvidy

We study the problem of extracting random bits from weak sources that are sampled by algorithms with limited memory. This model of small-space sources was introduced by Kamp, Rao, Vadhan and Zuckerman (STOC'06), and falls into a line of…

Computational Complexity · Computer Science 2021-08-25 Eshan Chattopadhyay , Jesse Goodman

We continue the study of constructing explicit extractors for independent general weak random sources. The ultimate goal is to give a construction that matches what is given by the probabilistic method --- an extractor for two independent…

Computational Complexity · Computer Science 2015-03-10 Xin Li

Information-efficient approaches for extracting randomness from imperfect sources have been extensively studied, but simpler and faster ones are required in the high-speed applications of random number generation. In this paper, we focus on…

Information Theory · Computer Science 2012-09-05 Hongchao Zhou , Jehoshua Bruck

Chaotic semiconductor lasers have been widely investigated for high-speed random bit generation, which is applied for the generation of cryptographic keys for classical and quantum cryptography systems. Here, we propose and demonstrate a…

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

Internet communication systems involving cryptography and data hiding often require billions of random numbers. In addition to the speed of the algorithm, the quality of the pseudo-random number generator and the ease of its implementation…

Cryptography and Security · Computer Science 2017-06-28 Jacques M. Bahi , Xiaole Fang , Christophe Guyeux

Simple authentication protocols based on conventional physical unclonable function (PUF) are vulnerable to modeling attacks and other security threats. This paper proposes an arbiter PUF based on a linear feedback shift register…

Cryptography and Security · Computer Science 2025-05-19 Yao Wang , Xue Mei , Zhengtai Chang , Wenbing Fan , Benqing Guo , Zhi Quan

The behavior of a family of dissipative dynamical systems representing transformations of two-dimensional torus is studied on a discrete lattice and compared with that of conservative hyperbolic automorphisms of the torus. Applying…

Computational Physics · Physics 2011-06-21 L. Yu. Barash
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