Vadim Lyubashevsky, Daniele Micciancio

The generalized knapsack problem is the following: given $m$ random

elements $a_1,\ldots,a_m\in R$ for some ring $R$, and a target $t\in

R$, find elements $z_1,\ldots,z_m\in D$ such that $\sum{a_iz_i}=t$

where $D$ is some given subset of $R$. In (Micciancio, FOCS 2002),

it was proved that for appropriate choices of $R$ ...
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