Inferring Sequences Produced by a Linear Congruential Generator on Elliptic Curves Using Coppersmith's Methods
Abstract
We analyze the security of the Elliptic Curve Linear Con-gruential Generator (EC-LCG). We show that this generator is insecure if sufficiently many bits are output at each iteration. In 2007, Gutierrez and Ibeas showed that this generator is insecure given a certain amount of most significant bits of some consecutive values of the sequence. Using the Coppersmith's methods, we are able to improve their security bounds.
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