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A distinguisher describes an adversary's advantage. In cryptography, an adversary's advantage is a measure of how successfully it can attack a cryptographic algorithm, by distinguishing it from an idealized version of that type of algorithm.

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How small is the negligible advantage for DDH?

That is, is there any distinguisher for the extremely small $\epsilon = 2^{-O(n)}$? Is it known how ``negligible'' should $\epsilon$ be? …
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