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# Telescope - Construction with Bounded DFS | ||
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In scenarios where $n_p$ is small, the parameters given for prehashed construction (relative to the security parameter, $\lambda$) are not optimal, resulting in a reduced probability of constructing a valid proof in a single attempt. | ||
For large $n_p$, the rapid growth in potential proof tuples ensures valid ones can be found efficiently, allowing the prehashed construction to work seamlessly. | ||
In contrast, small $n_p$ limits the search space, making the previous parameters inadequate. | ||
To address this, the **construction with bounded DFS** expands on the prehashed version with *retries*, *prehashing randomization*, and *bounding* the DFS. |
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