On a nonlinear congruential pseudorandom number generator

DOI10.1090/S0025-5718-96-00694-1zbMath0852.11039OpenAlexW1988036189MaRDI QIDQ4878544

Li-Ming Wu, Takashi Kato, Niro Yanagihara

Publication date: 8 August 1996

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-96-00694-1

zbMATH Keywords

serial testpurely periodic sequencenonlinear congruential pseudorandom number generator

Mathematics Subject Classification ID

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

Related Items (5)

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 ⋮ The serial test for a nonlinear pseudorandom number generator

Cites Work

• On the lattice structure of a nonlinear generator with modulus \(2^{\alpha}\)
• Recent trends in random number and random vector generation
• Inversive Congruential Pseudorandom Numbers Avoid the Planes
• A Nonlinear Congruential Pseudorandom Number Generator with Power of Two Modulus
• The Serial Test for Congruential Pseudorandom Numbers Generated by Inversions
• Lower Bounds for the Discrepancy of Inversive Congruential Pseudorandom Numbers with Power of Two Modulus
• Statistical Independence of a New Class of Inversive Congruential Pseudorandom Numbers
• On Generalized Inversive Congruential Pseudorandom Numbers
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