Aim of the project

More and more large-scale Monte Carlo simulations are now run on parallel systems like networked workstations or clusters. In a parallel environment, the quality of a PRNG is even more important, to some extent because feasible sample sizes are easily 1015 times larger than on a sequential machine [2]. The main problem is the parallelization of the PRNG itself. Some generators with good quality that do not run on parallel sacrifice their efficiency. Those parallelized generators cannot ensure their quality. This problem

becomes even difficult for TRNGs, due to their nature of instability of quality and complex implementation for parallelization and them- selves. Therefore, I think it is important to resolve this problem with a stable RNG design runs in parallel that can generate random numbers on a large scale. If applicable, I will definitely go for a TRNG based design. However, given the difficulties of imple- mentation and limited hardware knowledge, I will not feel guilty if I end up with a PRNG design.

Software and paper

The software of this project will be divided into two parts. The first part will the interface of TRNGs or the source code of a PRNG design. The second part will be a set of statistical test to certificate the randomness of output stream. My paper will introduce my implementation and design in great detail, including how to bring ordinary RNGs into parallel and how to optimize them for large scale purpose. It will also include a result analysis part where I run statistical test against sample streams. The success of a design is dependent on whether the design is able to generate random numbers on large scale and how successful (i.e. how many tests can the output pass) the output stream is.

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