The Complexity Of Nonuniform Random Number Generation Pdf Download
Estimated H-index: 5 (Qualcomm) The advent of quantum computing threatens to break many classical cryptographic schemes, leading to innovations in public key cryptography that focus on post-quantum cryptography primitives and protocols resistant to quantum computing threats. Lattice-based cryptography is a promising post-quantum cryptography family, both in terms of foundational properties as well as in its application to both traditional and emerging security problems such as encryption, digital signature, key exchange, and h. Estimated H-index: 36 (University of California, Berkeley) In this paper, we systematize the modeling of probabilistic systems for the purpose of analyzing them with model counting techniques. Starting from unbiased coin flips, we show how to model biased coins, correlated coins, and distributions over finite sets. From there, we continue with modeling sequential systems, such as Markov chains, and revisit the relationship between weighted and unweighted model counting.
Random numbers are a key component In large scale slmulatlons. Computer sclen- tlsts need. Sums of lndependent unlform random varlables. GENERAL PRINCIPLES IN RANDOM VARIATE. The lnverslon. In the analysls of the complexity. When we can make a. Full-text (PDF) his paper introduces and studies an optimization problem related to the alias method for discrete random- variate generation. Complexity of the. Alias-Table-Generation Problem. For Procedure 2, fewer computations are required to. Generate a random number if a bin jis chosen such.
Thereby, this work provides a conceptual framework for deriving #SAT encodings for p. The problem of exactly generating a general random process (target process) by using another general random process (coin process) is studied. The performance of the interval algorithm, introduced by Han and Hoshi, is analyzed from the perspective of information spectrum approach. When either the coin process or the target process has one point spectrum, the asymptotic optimality of the interval algorithm among any random number generation algorithms is proved, which demonstrates utility of the. Estimated H-index: 1 (Thales Communications) The Renyi divergence is a measure of closeness of two probability distributions which has found several applications over the last years as an alternative to the statistical distance in lattice-based cryptography. A tight bound has recently been presented for the Renyi divergence of distributions that have a bounded relative error. We show that it can be used to bound the precision requirement in Gaussian sampling to the IEEE 754 floating-point standard double precision for usual lattice-based s.
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The Complexity Of Nonuniform Random Number Generation Pdf Download Software
Estimated H-index: 54 (Katholieke Universiteit Leuven) Sampling from a discrete Gaussian distribution is an indispensable part of lattice-based cryptography. Several recent works have shown that the timing leakage from a non-constant-time implementation of the discrete Gaussian sampling algorithm could be exploited to recover the secret. In this paper, we propose a constant-time implementation of the Knuth-Yao random walk algorithm for performing constant-time discrete Gaussian sampling.
Since the random walk is dictated by a set of input random bit. Estimated H-index: 2 (York University) Probabilistic bisimilarity is an equivalence relation that captures which states of a labelled Markov chain behave the same. Since this behavioural equivalence only identifies states that transition to states that behave exactly the same with exactly the same probability, this notion of equivalence is not robust. Probabilistic bisimilarity distances provide a quantitative generalization of probabilistic bisimilarity. The distance of states captures the similarity of their behaviour. Estimated H-index: 17 (CityU: City University of Hong Kong) Considering the limited throughput of a true random number generator (TRNG), the time independence of speed in a real discrete Gaussian sampler design was usually sacrificed. By utilizing the broadband chaos from an optically injected semiconductor laser with heterodyning, we propose a laser-field-programmable gate array system which generates discrete Gaussian numbers with a time-invariant throughput of 35.7 and 7.8 MSPS on Zedboard for two ring learning with errors schemes.
Applying the propos. (RAS: Russian Academy of Sciences) We consider the problems of transforming random variables over finite sets by discrete functions. We describe the problems of exact and approximate expression of random variables as functions of other random variables from the point of view of universal algebra and provide a review of results in the area. Sufficient conditions are obtained for a system of transforming functions to allow the approximation of an arbitrary probability distribution on a finite set using a given nondegenerate initial.