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1 \begin{itemize}
2 \item Fields of Applications:
3 \begin{itemize}
4 \item Information Security: Hash function, Steganography, Stream cipher
5 \item Time Synchronization: GPS
6 \item Numerical simulations: Monte-Carlo algorithms
7 \item<-2> Simulation of Chaotic systems: Double pendulum, Protein dynamics
8 \item \ldots  
9 \end{itemize}
10 \item Practical requirements:
11 \begin{itemize}
12 \item Reproducibility: same seed $\leadsto$ same stream 
13 \item Successfull pass on PRNG batteries of tests
14 currently the NIST suite~\cite{Nist10}, and DieHARD~\cite{Marsaglia1996}
15 \item<-2> Should have chaotic properties if needed
16 \end{itemize} 
17 \end{itemize}
18