Random number generation and quasi-Monte Carlo methods
Random number generation and quasi-Monte Carlo methods
Finite fields
The Art of Computer Programming Volumes 1-3 Boxed Set
The Art of Computer Programming Volumes 1-3 Boxed Set
On the Distribution of Nonlinear Recursive Congruential Pseudorandom Numbers of Higher Orders
AAECC-13 Proceedings of the 13th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Iterations of Multivariate Polynomials and Discrepancy of Pseudorandom Numbers
AAECC-14 Proceedings of the 14th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
SETA '08 Proceedings of the 5th international conference on Sequences and Their Applications
On the Distribution of Nonlinear Congruential Pseudorandom Numbers of Higher Orders in Residue Rings
AAECC-18 '09 Proceedings of the 18th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Dynamical systems generated by rational functions
AAECC'03 Proceedings of the 15th international conference on Applied algebra, algebraic algorithms and error-correcting codes
Recent results on recursive nonlinear pseudorandom number generators
SETA'10 Proceedings of the 6th international conference on Sequences and their applications
SETA'10 Proceedings of the 6th international conference on Sequences and their applications
On the distribution of some new explicit nonlinear congruential pseudorandom numbers
SETA'04 Proceedings of the Third international conference on Sequences and Their Applications
Exponential sums with Dickson polynomials
Finite Fields and Their Applications
On pseudorandom numbers from multivariate polynomial systems
Finite Fields and Their Applications
Exponential sums for nonlinear recurring sequences
Finite Fields and Their Applications
Exponential sums of nonlinear congruential pseudorandom number generators with Rédei functions
Finite Fields and Their Applications
On the Average Distribution of Inversive Pseudorandom Numbers
Finite Fields and Their Applications
The Carlitz rank of permutations of finite fields: A survey
Journal of Symbolic Computation
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The nonlinear congruential method is an attractive alternative to the classical linear congruential method for pseudorandom number generation. In this paper we present a new type of discrepancy bound for sequences ofs-tuples of successive nonlinear congruential pseudorandom numbers and a result on thes-dimensional lattice structure.