Non-adaptive preprocessing for discrete log and similar problems cannot beat O(sqrt(N)) online time without Omega(sqrt(N)) advice bits, proven via a Shearer-like inequality for permutations.
The Distinction Between Fixed and Random Generators in Group-Based Assumptions
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Non-Adaptive Cryptanalytic Time-Space Lower Bounds via a Shearer-like Inequality for Permutations
Non-adaptive preprocessing for discrete log and similar problems cannot beat O(sqrt(N)) online time without Omega(sqrt(N)) advice bits, proven via a Shearer-like inequality for permutations.