Random number generation and quasi-Monte Carlo methods
Random number generation and quasi-Monte Carlo methods
Finite fields
On the Distribution and Lattice Structure of Nonlinear Congruential Pseudorandom Numbers
Finite Fields and Their Applications
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
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
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
Pseudorandom vector sequences derived from triangular polynomial systems with constant multipliers
WAIFI'10 Proceedings of the Third international conference on Arithmetic of finite fields
On the power generator and its multivariate analogue
Journal of Complexity
Multivariate permutation polynomial systems and nonlinear pseudorandom number generators
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
On the Average Distribution of Inversive Pseudorandom Numbers
Finite Fields and Their Applications
Predicting masked linear pseudorandom number generators over finite fields
Designs, Codes and Cryptography
| Hi-index | 0.00 |
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 of s-tuples of successive nonlinear multiple recursive congruential pseudorandom numbers of higher orders. In particular, we generalize some recent results about recursive congruential pseudorandom numbers of first order.