Exponential sums with Dickson polynomials

DOI10.1016/J.FFA.2004.08.001zbMath1104.11055OpenAlexW2136767493MaRDI QIDQ814760

Igor E. Shparlinski, Jaime Gutierrez, Domingo Gómez-Pérez

Publication date: 7 February 2006

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2004.08.001

zbMATH Keywords

exponential sumsDickson polynomialsnonlinear pseudorandom number generators

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Exponential sums (11T23) Estimates on character sums (11L40)

Related Items (6)

Exponential sums of nonlinear congruential pseudorandom number generators with Rédei functions ⋮ Generalized polynomial exponential sums and their fourth power mean ⋮ On the degree growth in some polynomial dynamical systems and nonlinear pseudorandom number generators ⋮ Multivariate permutation polynomial systems and nonlinear pseudorandom number generators ⋮ On the linear complexity profile of nonlinear congruential pseudorandom number generators with Dickson polynomials ⋮ Character sums over norm groups

Cites Work

• On the distribution and lattice structure of nonlinear congruential pseudorandom numbers
• On the distribution of the power generator
• Polynomial Gauss sums
• Character sums with exponential functions
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