On the distribution and lattice structure of nonlinear congruential pseudorandom numbers
From MaRDI portal
Publication:1964063
DOI10.1006/ffta.1999.0257zbMath0942.11037OpenAlexW1972193539MaRDI QIDQ1964063
Igor E. Shparlinski, Harald Niederreiter
Publication date: 27 August 2000
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/ffta.1999.0257
Random number generation in numerical analysis (65C10) Pseudo-random numbers; Monte Carlo methods (11K45)
Related Items (20)
Character sums, primitive elements, and powers in finite fields ⋮ ON THE DISTRIBUTION OF NONLINEAR CONGRUENTIAL PSEUDORANDOM NUMBERS IN RESIDUE RINGS ⋮ Pseudorandom numbers and hash functions from iterations of multivariate polynomials ⋮ Свойства распределений элементов в одном классе последовательностей над кольцами Галуа ⋮ Piecewise polynomial sequences over the Galois ring ⋮ Exponential sums of nonlinear congruential pseudorandom number generators with Rédei functions ⋮ The Carlitz rank of permutations of finite fields: a survey ⋮ On the Carlitz rank of permutations of \(\mathbb F_q\) and pseudorandom sequences ⋮ Exponential sums for nonlinear recurring sequences ⋮ On the degree growth in some polynomial dynamical systems and nonlinear pseudorandom number generators ⋮ On pseudorandom numbers from multivariate polynomial systems ⋮ On the Average Distribution of Power Residues and Primitive Elements in Inversive and Nonlinear Recurring Sequences ⋮ Distribution of nonlinear congruential pseudorandom numbers modulo almost squarefree integers ⋮ EXPONENTIAL SUMS AND THE DISTRIBUTION OF INVERSIVE CONGRUENTIAL PSEUDORANDOM NUMBERS WITH POWER OF TWO MODULUS ⋮ ON THE DISTRIBUTION OF COUNTER-DEPENDENT NONLINEAR CONGRUENTIAL PSEUDORANDOM NUMBER GENERATORS IN RESIDUE RINGS ⋮ Incomplete character sums and a special class of permutations ⋮ Bounds on the frequencies of tuples on parts of the period of linear recurring sequences over Galois rings ⋮ On the linear complexity profile of nonlinear congruential pseudorandom number generators of higher orders ⋮ On the average distribution of inversive pseudorandom numbers ⋮ Exponential sums with Dickson polynomials
This page was built for publication: On the distribution and lattice structure of nonlinear congruential pseudorandom numbers