3D Generalization for LFSR Random Point Generator

A.N. Kalouguine and V.M. Chernov (Russia)


Modelling and simulation, arithmetic simulation ofstochastic processes, uniform distribution generation.


In this paper the new method of pseudo-random sequences generation is introduced. The proposed generation scheme generalizes the 1D Tausworthe generator (LFSR-generator). The output bits of a linear recurrence are interpreted as CNS-expansion digits of the element from a cubic extension [ ]Z . The proposed generator is tested using Monte-Carlo integration.

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