We combine the design of two random number generators to obtain a new class of generators with heavy-weight characteristic polynomials . These generators passed all tests of the \emph{TestU01}-package for each 32-bit integer part and each64-bit derived real part of the output . We determine the size gaps for 32-bits words, neglecting the non-linear tempering, and compare with analternative experimental linear tempering .

Author(s) : Marcel Van de Vel

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Keywords : generators - tempering - linear - part - bit -

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