Exponential sums of nonlinear congruential pseudorandom number generators with Rédei functions

DOI10.1016/j.ffa.2007.03.004zbMath1136.11075OpenAlexW2055489884MaRDI QIDQ2426466

Arne Winterhof, Jaime Gutierrez

Publication date: 22 April 2008

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2007.03.004

zbMATH Keywords

exponential sumscryptographyRédei functionsnonlinear congruential generator

Mathematics Subject Classification ID

Cryptography (94A60) Exponential sums (11T23) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items (5)

Rédei Actions on Finite Fields and Multiplication Map in Cyclic Group ⋮ Rédei permutations with cycles of the same length ⋮ On the degree growth in some polynomial dynamical systems and nonlinear pseudorandom number generators ⋮ Multivariate permutation polynomial systems and nonlinear pseudorandom number generators ⋮ Fixed points of rational functions satisfying the Carlitz property

Cites Work

• Exponential sums with Dickson polynomials
• On the distribution and lattice structure of nonlinear congruential pseudorandom numbers
• On the distribution of inversive congruential pseudorandom numbers in parts of the period
• On the distribution of the power generator
• Exponential Sums and Goppa Codes: I
• Character sums with exponential functions
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