An electronic random number generating device (100) for generating a sequence of random numbers, the electronic random number generating device comprising an electronic parameter storage (110) configured to store multiple functions and for each function of the multiple functions an associated modulus, not all moduli being equal, and an electronic function evaluation device (120) configured to generate an internal sequence of random numbers, the function evaluation device being configured to generate a next number in the internal sequence of random numbers by for each function of the multiple functions, evaluating the function for a previously generated value in the internal sequence of random numbers modulo the modulus associated with the evaluating function, so obtaining multiple evaluation results, and applying a combination function to the multiple evaluation results to obtain the next number in the internal sequence, and an output (140) configured to generate a next number in the sequence of random numbers from the generated next number in the internal sequence.
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