A simple unpredictable pseudo random number generator
SIAM Journal on Computing
The probabilistic theory of linear complexity
Lecture Notes in Computer Science on Advances in Cryptology-EUROCRYPT'88
EUROCRYPT '89 Proceedings of the workshop on the theory and application of cryptographic techniques on Advances in cryptology
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 inversive congruential pseudorandom numbers in parts of the period
Mathematics of Computation
On the distribution of the power generation
Mathematics of Computation
Period of the power generator and small values of Carmichael's function
Mathematics of Computation
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
Periods of Maps on Irreducible Polynomials over Finite Fields
Finite Fields and Their Applications
On the Distribution and Lattice Structure of Nonlinear Congruential Pseudorandom Numbers
Finite Fields and Their Applications
On the Average Distribution of Inversive Pseudorandom Numbers
Finite Fields and Their Applications
Reconstructing noisy polynomial evaluation in residue rings
Journal of Algorithms
On the period of the Naor--Reingold sequence
Information Processing Letters
Recent results on recursive nonlinear pseudorandom number generators
SETA'10 Proceedings of the 6th international conference on Sequences and their applications
Cryptanalysis of the quadratic generator
INDOCRYPT'05 Proceedings of the 6th international conference on Cryptology in India
Pseudorandom vector sequences of maximal period generated by triangular polynomial dynamical systems
Designs, Codes and Cryptography
On the discrepancy and linear complexity of some counter-dependent recurrence sequences
SETA'06 Proceedings of the 4th international conference on Sequences and Their Applications
Exponential sums with Dickson polynomials
Finite Fields and Their Applications
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 of nonlinear congruential pseudorandom number generators with Rédei functions
Finite Fields and Their Applications
The Carlitz rank of permutations of finite fields: A survey
Journal of Symbolic Computation
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We consider dynamical systems generated by iterations of rational functions over finite fields and residue class rings. We present a survey of recent developments and outline several open problem.