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We present a simple setup to implement truly random number generator based on the measurement of the laser phase noise. From the entropy point of view, we estimate the number of truly random bits that can be extracted from the sampled Byte.…

量子物理 · 物理学 2010-06-18 Yu Liu , Mingyi Zhu , Hong Guo

We develop a pseudo-random generator to fool degree-$d$ polynomial threshold functions with respect to the Gaussian distribution. For $c>0$ any constant, we construct a pseudo-random generator that fools such functions to within $\epsilon$…

计算复杂性 · 计算机科学 2011-04-08 Daniel M. Kane

This article introduces an algorithm to draw random discrete uniform variables within a given range of size n from a source of random bits. The algorithm aims to be simple to implement and optimal both with regards to the amount of random…

数据结构与算法 · 计算机科学 2013-04-09 Jérémie Lumbroso

The sequences produced by the cryptographic sequence generator known as the shrinking generator can be modelled as the output sequences of linear elementary cellular automata. These sequences are composed of interleaved m-sequences produced…

密码学与安全 · 计算机科学 2018-02-08 Sara D. Cardell , Amparo Fúster-Sabater

We explicitly construct random hash functions for privacy amplification (extractors) that require smaller random seed lengths than the previous literature, and still allow efficient implementations with complexity $O(n\log n)$ for input…

量子物理 · 物理学 2016-03-17 Masahito Hayashi , Toyohiro Tsurumaru

We propose a scheme for generating a weakly chordal graph on n vertices with m edges. In this method, we first construct a tree and then generate an orthogonal layout (which is a weakly chordal graph on the n vertices) based on this tree.…

数据结构与算法 · 计算机科学 2019-06-05 Md. Zamilur Rahman , Asish Mukhopadhyay , Yash P. Aneja

The aim of this paper is to present a new design for a pseudorandom number generator (PRNG) that is cryptographically secure, passes all of the usual statistical tests referenced in the literature and hence generates high quality random…

密码学与安全 · 计算机科学 2025-03-25 Juan Di Mauro , Eduardo Salazar , Hugo D. Scolnik

We introduce several classes of pseudorandom sequences which represent a natural extension of classical methods in random number generation. The sequences are obtained from constructions on labeled binary trees, generalizing the well-known…

组合数学 · 数学 2016-03-29 Josef Eschgfäller , Andrea Scarpante

Modular exponentiation and scalar multiplication are important operations of most public key cryptosystems, and their fast calculation is essential to improve the system efficiency. The shortest addition chain is one of the most important…

密码学与安全 · 计算机科学 2023-12-08 Yuanchao Ding , Hua Guo , Yewei Guan , Hutao Song , Xiyong Zhang

Parallel supercomputer-based Monte Carlo applications depend on pseudorandom number generators that produce independent pseudorandom streams across many separate processes. We propose a new scalable class of parallel pseudorandom number…

计算物理 · 物理学 2015-02-03 Paul D. Beale

This paper proposes an algorithm to generate random numbers from any member of the truncated multivariate elliptical family of distributions with a strictly decreasing density generating function. Based on Neal (2003) and Ho et al. (2012),…

统计计算 · 统计学 2021-12-20 Katherine A. L. Valeriano , Christian E. Galarza , Larissa A. Matos

We present an algorithm that, with high probability, generates a random spanning tree from an edge-weighted undirected graph in $\tilde{O}(n^{4/3}m^{1/2}+n^{2})$ time (The $\tilde{O}(\cdot)$ notation hides $\operatorname{polylog}(n)$…

数据结构与算法 · 计算机科学 2017-06-22 David Durfee , Rasmus Kyng , John Peebles , Anup B. Rao , Sushant Sachdeva

We show how to generate random derangements efficiently by two different techniques: random restricted transpositions and sequential importance sampling. The algorithm employing restricted transpositions can also be used to generate random…

统计计算 · 统计学 2020-08-17 J. R. G. Mendonça

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…

计算复杂性 · 计算机科学 2015-11-19 Parikshit Gopalan , Daniel Kane , Raghu Meka

Based on Restricted Boltzmann Machines (RBMs), an improved pseudo-stochastic sequential cipher generator is proposed. It is effective and efficient because of the two advantages: this generator includes a stochastic neural network that can…

密码学与安全 · 计算机科学 2016-08-18 Fei Hu , Xiaofei Xu , Tao Peng , Changjiu Pu , Li Li

An encoder observes a point pattern---a finite number of points in the interval $[0,T]$---which is to be described to a reconstructor using bits. Based on these bits, the reconstructor wishes to select a subset of $[0,T]$ that contains all…

信息论 · 计算机科学 2011-02-16 Amos Lapidoth , Andreas Malär , Ligong Wang

We present a simple and robust construction of a real-time quantum random number generator (QRNG). Our minimalist approach ensures stable operation of the device as well as its simple and straightforward hardware implementation as a…

量子物理 · 物理学 2023-07-19 K. S. Kravtsov , I. V. Radchenko , S. P. Kulik , S. N. Molotkov

We describe random processes (with binary alphabet) whose entropy is less than 1 (per letter), but they mimic true random process, i.e., by definition, generated sequence can be interpreted as the result of the flips of a fair coin with…

信息论 · 计算机科学 2015-12-23 Boris Ryabko

Curve samplers are sampling algorithms that proceed by viewing the domain as a vector space over a finite field, and randomly picking a low-degree curve in it as the sample. Curve samplers exhibit a nice property besides the sampling…

计算复杂性 · 计算机科学 2013-09-05 Zeyu Guo

Pseudo-random number generators are widely used in many branches of science, mainly in applications related to Monte Carlo methods, although they are deterministic in design and, therefore, unsuitable for tackling fundamental problems in…