On the average distribution of pseudorandom numbers generated by nonlinear permutations

DOI10.1090/S0025-5718-2010-02408-1zbMath1219.11181MaRDI QIDQ3168739

Igor E. Shparlinski

Publication date: 19 April 2011

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

zbMATH Keywords

pseudorandom numberspermutation polynomialinversive congruential generator

Mathematics Subject Classification ID

Exponential sums (11T23) Random number generation in numerical analysis (65C10) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items (4)

On the power generator and its multivariate analogue ⋮ Full orbit sequences in affine spaces via fractional jumps and pseudorandom number generation ⋮ On the dynamical system generated by the Möbius transformation at prime times ⋮ On pseudorandom numbers from multivariate polynomial systems

Cites Work

• Sequences, discrepancies and applications
• On the average distribution of inversive pseudorandom numbers
• On the distribution of pseudorandom numbers and vectors generated by inversive methods
• On some dynamical systems in finite fields and residue rings
• Exponential sums for nonlinear recurring sequences
• On the distribution of inversive congruential pseudorandom numbers in parts of the period
• On the Average Distribution of Power Residues and Primitive Elements in Inversive and Nonlinear Recurring Sequences
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