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The relationship between two concepts measuring structural properties of pseudorandom numbers, namely the linear complexity profile and the lattice profile, is investigated. In particular an explicit formula expressing the lattice pro.le in terms of the linear complexity profile (and vice versa) can be provided once the interrelation is known in certain points. Moreover an intrinsic characterization...
Summary Recently, we showed that an extension of Marsaglia’s lattice test for segments of sequences over arbitrary fields and the linear complexity profile provide essentially equivalent quality measures for the intrinsic structure of pseudorandom number sequences. More precisely, the knowledge of the linear complexity profile yields a value S such that the largest dimension for passing the above...
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