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Inversive congruential generator

Inversive congruential generators are a type of nonlinear congruential pseudorandom number generator, which use the modular multiplicative inverse… (More)
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1992-2017
01219922017

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AlgorithmCryptographyGeneralized inversive congruential pseudorandom numbersLinear congruential generator
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Related mentions per year

Related mentions per year

1936-2018
19401960198020002020
Inversive congruential generator
Algorithm
Polynomial
Cryptography
Stochastic process
Pseudorandom number generator

Papers overview

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2017
2017
Solving a Class of Modular Polynomial Equations and its Relation to Modular Inversion Hidden Number Problem and Inversive Congruential Generator
In this paper we revisit the modular inversion hidden number problem (MIHNP) and the inversive congruential generator (ICG) and… (More)
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2014
2014
Finding Small Solutions of a Class of Simultaneous Modular Equations and Applications to Modular Inversion Hidden Number Problem and Inversive Congruential Generator
In this paper we revisit the modular inversion hidden number problem and the inversive congruential pseudo random number… (More)
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2012
2012
On Inversive Congruential Generator for Pseudorandom Numbers with Prime Power Modulus
Generalization of the inversive congruential generator of pseudorandom numbers on the prime module is considered and the… (More)
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2010
2010
Inversive Congruential Pseudorandom Numbers Avoid the Planes
Nonlinear congruential pseudorandom number generators based on inversions have recently been introduced and analyzed. These… (More)
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2010
2010
Analysis of pseudo-random properties of nonlinear congruential generators with power of two modulus by numerical computing of the b-adic diaphony
We consider two nonlinear methods for generating uniform pseudo-random numbers in (0, 1), namely quadratic congruential generator… (More)
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2007
2007
3 Generators Split Combination Srand48 Run Q Bits the Parallel Sequence Test Results for the Explicit Inversive Congruential Generator
Table 4 The parallel sequence test results for the Split Multiplicative Linear Congruential Combination geneator and Srand48… (More)
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2006
2006
Compound Inversive Congruential Generator Design Algorithm
In this paper we present an algorithm for the compound method of designing generators as pseudorandom stream sources. Compound… (More)
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2005
2005
Predicting nonlinear pseudorandom number generators
Let p be a prime and let a and b be elements of the finite field Fp of p elements. The inversive congruential generator (ICG) is… (More)
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2003
2003
Predicting the Inversive Generator
Let p be a prime and let a and b be integers modulo p. The inversive congruential generator (ICG) is a sequence (un) of… (More)
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1992
1992
A New Inversive Congruential Pseudorandom Number Generator with Power of Two Modulus
Pseudorandom numbers are important ingredients of stochastic simulations. Their quality is fundamental for the strength of the… (More)
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