On the distribution of pseudorandom numbers and vectors generated by inversive methods

DOI10.1007/s002000050124zbMath0999.11040OpenAlexW2041874603MaRDI QIDQ1973898

Igor E. Shparlinski, Harald Niederreiter

Publication date: 23 October 2001

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002000050124

zbMATH Keywords

exponential sumsdiscrepancydigital inversive pseudorandom numbersinversive pseudorandom vectors

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Exponential sums (11T23) Random number generation in numerical analysis (65C10) Irregularities of distribution, discrepancy (11K38) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items (14)

Character sums, primitive elements, and powers in finite fields ⋮ On the average distribution of pseudorandom numbers generated by nonlinear permutations ⋮ The Carlitz rank of permutations of finite fields: a survey ⋮ On the Carlitz rank of permutations of \(\mathbb F_q\) and pseudorandom sequences ⋮ On the Structure of Inversive Pseudorandom Number Generators ⋮ On the distribution of the power generator ⋮ Finite binary sequences constructed by explicit inversive methods ⋮ On the correlation of pseudorandom numbers generated by inversive methods ⋮ Average equidistribution and statistical independence properties of digital inversive pseudorandom numbers over parts of the period ⋮ On the Average Distribution of Power Residues and Primitive Elements in Inversive and Nonlinear Recurring Sequences ⋮ Inversive pseudorandom numbers over Galois rings ⋮ On k-error linear complexity of some explicit nonlinear pseudorandom sequences ⋮ Incomplete character sums and a special class of permutations ⋮ On the average distribution of inversive pseudorandom numbers

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