In popular testing of RNGs, Donald Knuth's tests were supplanted by George Marsaglia's (1996) DIEHARD tests, and DIEHARD has been the standard for several years.
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Computer science professors George Marsaglia and Arif Zaman report that they used to call one such category of tests "overlapping m-tuple tests" in lecture, since they concern overlapping m-tuples of successive elements in a random sequence.