On pseudorandom numbers from multivariate polynomial systems

DOI10.1016/j.ffa.2010.05.002zbMath1254.11076OpenAlexW1970305556MaRDI QIDQ708433

Elena Pelican, Igor E. Shparlinski, Alina Ostafe

Publication date: 11 October 2010

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2010.05.002

zbMATH Keywords

discrepancymultivariate polynomialpseudorandom number generator

Mathematics Subject Classification ID

Related Items (6)

MULTIPLICATIVE CHARACTER SUMS OF A CLASS OF NONLINEAR RECURRENCE VECTOR SEQUENCES ⋮ On the power generator and its multivariate analogue ⋮ Predicting masked linear pseudorandom number generators over finite fields ⋮ Full orbit sequences in affine spaces via fractional jumps and pseudorandom number generation ⋮ Pseudorandom vector sequences of maximal period generated by triangular polynomial dynamical systems ⋮ Invariants and conjugacy classes of triangular polynomial maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sequences, discrepancies and applications
• Multivariate permutation polynomial systems and nonlinear pseudorandom number generators
• Inferring sequences produced by a linear congruential generator on elliptic curves missing high-order bits
• Lattice reduction: a toolbox for the cryptoanalyst
• On the distribution and lattice structure of nonlinear congruential pseudorandom numbers
• Pseudorandom numbers and hash functions from iterations of multivariate polynomials
• Exponential sums for nonlinear recurring sequences
• On the distribution of inversive congruential pseudorandom numbers in parts of the period
• On the average distribution of pseudorandom numbers generated by nonlinear permutations
• Attacking the Pollard Generator
• Pseudorandom Vector Sequences Derived from Triangular Polynomial Systems with Constant Multipliers
• On the degree growth in some polynomial dynamical systems and nonlinear pseudorandom number generators
• Deciphering a linear congruential encryption
• Reconstructing Truncated Integer Variables Satisfying Linear Congruences
• How to predict congruential generators
• Quasi-Monte Carlo methods and pseudo-random numbers
• Predicting nonlinear pseudorandom number generators
• Cryptography and Coding
• Information Security and Privacy

This page was built for publication: On pseudorandom numbers from multivariate polynomial systems