AI Networking Cookbook: Practical recipes for AI-assisted network automation and development
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We unconditionally construct witness encryption for NP in the classical generic-group model, using an ordinary cyclic group of prime order. For SAT instances of size $n$, the encryption algorithm runs in time poly$(n)$, and any satisfying assignment can be used to decrypt in poly$(n)$ time with correctness error $2^{-n...
For every constant $2<p<\infty$ and every constant \[ 0<\varepsilon<\min\left\{\frac{p-2}{4p},\frac18\right\}, \] we show that the $\ell_p$-shortest vector problem for lattices of rank $M$ is NP hard to approximate within a factor of $M^\varepsilon$, via a deterministic reduction. For $p=\infty$, the same holds for eve...
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