We analyze the multivariate generalization of Howgrave-Graham’s algorithm for the approximate common divisor problem. In the m-variable case with modulus N and approximate common...
ded abstract of this work appears in Public Key Cryptography — PKC 2011, ed. R. Gennaro, Springer LNCS 6571 (2011), 1–16. This is the full version. We propose a linearly homom...
We study multivariate approximation for continuous functions in the average case setting. The space of d variate continuous functions is equipped with the zero mean Gaussian measu...
Computing shortest paths between two given nodes is a fundamental operation over graphs, but known to be nontrivial over large disk-resident instances of graph data. While a numbe...
Andrey Gubichev, Srikanta J. Bedathur, Stephan Seu...
We show that recent results of Coppersmith, Boneh, Durfee and Howgrave-Graham actually apply in the more general setting of (partially) approximate common divisors. This leads us t...