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Lattice tests are quality measures for assessing the intrinsic structure of pseudorandom number generators. Recently a new lattice test has been introduced by Niederreiter and Winterhof. In this paper, we present a general inequality that is satisfied by any periodic sequence. Then, we analyze the behavior of the linear congruential generators on elliptic curves (EC-LCG) under this new lattice test...
Constructions of binary lattices and of binary sequences with ldquogoodrdquo pseudorandomness are presented along elliptic curves defined over finite fields. To evaluate the pseudorandomness of the resulting sequences, the well-distribution measure and the correlation measure of order k are estimated by using certain exponential sums over finite fields and elliptic curves. A low bound on the linear...
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