On the period length of congruential pseudorandom number sequences generated by inversions

DOI10.1016/0377-0427(90)90339-2zbMath0704.65001OpenAlexW2020959879MaRDI QIDQ917208

Jürgen Eichenauer-Herrmann, Alev Topuzoğlu

Publication date: 1990

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(90)90339-2

zbMATH Keywords

random number generationcongruential pseudorandom sequencesinverse congruential generatorsmaximal period length

Mathematics Subject Classification ID

Random number generation in numerical analysis (65C10)

Related Items (14)

On the period length of generalized inversive pseudorandom number generators ⋮ The lattice structure of nonlinear congruential pseudorandom numbers ⋮ A brief and understandable guide to pseudo-random number generators and specific models for security ⋮ On the structure of digraphs of polynomial transformations over finite commutative rings with unity ⋮ On the autocorrelation structure of inversive congruential pseudorandom number sequences ⋮ A remark on the discrepancy of quadratic congruential pseudorandom numbers ⋮ Construction of inversive congruential pseudorandom number generators with maximal period length ⋮ Statistical Independence of a New Class of Inversive Congruential Pseudorandom Numbers ⋮ EXPONENTIAL SUMS AND THE DISTRIBUTION OF INVERSIVE CONGRUENTIAL PSEUDORANDOM NUMBERS WITH POWER OF TWO MODULUS ⋮ Theoretical design of controlled digitized chaotic systems with periodic orbit of upper limit length in digital circuit ⋮ On the linear complexity profile of nonlinear congruential pseudorandom number generators of higher orders ⋮ On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus ⋮ On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus. II ⋮ On the discrepancy of quadratic congruential pseudorandom numbers

Uses Software

• SPRNG

Cites Work

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• On the lattice structure of a nonlinear generator with modulus \(2^{\alpha}\)
• On the structure of quadratic congruential sequences
• A multiple recursive nonlinear congruential pseudo random number generator
• A Nonlinear Congruential Pseudorandom Number Generator with Power of Two Modulus
• The Serial Test for Congruential Pseudorandom Numbers Generated by Inversions

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