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We use the framework of dependence to assess the benefits of scrambling randomly versus deterministically for Faure and Halton sequences. We attempt to answer the following questions: when a deterministic sequence has known defects for small sample sizes, should we address these defects by applying random scrambling or should we find a "good" deter...
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In this paper, first, the Golomb's postulates are generalized to construct a good mathematical base, and then generalize the binary standard randomness tests to be suitable to be applied on digital sequences. This paper includes some tables describe the tests results of the digital sequences generated from some digital generators, like the Multipli...