Chris Peikert, Alon Rosen

The generalized knapsack function is defined as $f_{\a}(\x) = \sum_i

a_i \cdot x_i$, where $\a = (a_1, \ldots, a_m)$ consists of $m$

elements from some ring $R$, and $\x = (x_1, \ldots, x_m)$ consists

of $m$ coefficients from a specified subset $S \subseteq R$.

Micciancio ...
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Iftach Haitner, Mohammad Mahmoody, David Xiao

We investigate the question of what languages can be decided efficiently with the help of a recursive collision-finding oracle. Such an oracle can be used to break collision-resistant hash functions or, more generally, statistically hiding commitments. The oracle we consider, $Sam_d$ where $d$ is the recursion depth, is based on ... more >>>