A Nonlinear Congruential Pseudorandom Number Generator with Power of Two Modulus

DOI10.2307/2008776zbMath0701.65008OpenAlexW2057463668MaRDI QIDQ3479434

Alev Topuzoğlu, Jürgen Eichenauer-Herrmann, Jürgen Lehn

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2008776

zbMATH Keywords

maximal period lengthpower of two modulusnonlinear congruential pseudorandom number generator

Mathematics Subject Classification ID

Random number generation in numerical analysis (65C10) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items (25)

On the period length of generalized inversive pseudorandom number generators ⋮ The lattice structure of nonlinear congruential pseudorandom numbers ⋮ The p-adic Theory of Automata Functions ⋮ A brief and understandable guide to pseudo-random number generators and specific models for security ⋮ On the lattice structure of pseudo random numbers generated by the modified inversive congruential generator with modulus \(2^ \alpha\) ⋮ On the structure of digraphs of polynomial transformations over finite commutative rings with unity ⋮ On the autocorrelation structure of inversive congruential pseudorandom number sequences ⋮ Lower bounds for the discrepancy of triples of inversive congruential pseudorandom numbers with power of two modulus ⋮ On the lattice structure of a nonlinear generator with modulus \(2^{\alpha}\) ⋮ On the period length of congruential pseudorandom number sequences generated by inversions ⋮ On a nonlinear congruential pseudorandom number generator ⋮ The serial test for a nonlinear pseudorandom number generator ⋮ Statistical independence properties of pseudorandom vectors produced by matrix generators ⋮ Recent trends in random number and random vector generation ⋮ A general method for to decompose modular multiplicative inverse operators over Group of units ⋮ Inversive congruential pseudorandom numbers: distribution of triples ⋮ 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 ⋮ Lower Bounds for the Discrepancy of Inversive Congruential Pseudorandom Numbers with Power of Two Modulus ⋮ Uniform random number generation ⋮ The Serial Test for Congruential Pseudorandom Numbers Generated by Inversions ⋮ 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

Cites Work

• On the structure of quadratic congruential sequences
• A multiple recursive nonlinear congruential pseudo random number generator
• Marsaglia's lattice test and non-linear congruential pseudo-random number generators
• RANDOM NUMBERS FALL MAINLY IN THE PLANES
• The Lattice Structure of Multiplicative Congruential Pseudo-Random Vectors
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