On the linear complexity profile of nonlinear congruential pseudorandom number generators with Redei functionsMeidl, Wilfried and Winterhof, Arne (2007) On the linear complexity profile of nonlinear congruential pseudorandom number generators with Redei functions. Finite Fields and Their Applications, 13 (3). pp. 628-634. ISSN 1071-5797 This is the latest version of this item.
Official URL: http://dx.doi.org/10.1016/j.ffa.2005.10.001 AbstractLinear complexity and linear complexity profile are important characteristics of a sequence for applications in cryptography and quasi-Monte Carlo methods. The nonlinear congruential method is an attractive alternative to the classical linear congruential method for pseudorandom number generation. We prove lower bounds on the linear complexity profile of nonlinear congruential pseudorandom number generators with Rédei functions which are much stronger than bounds known for general nonlinear congruential pseudorandom number generators.
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