Moving Towards Transcripts Sample Clauses

Moving Towards Transcripts. ‌ As a first step, we note that the input adaptivity does not help and it suffices to simply consider the probability of transcripts to occur in the real world and in the ideal world. Let O1 be an oracle that generates transcripts as lists of random strings, Algorithm 1, and O2 = NSTH (Non-adaptive STH) be an oracle that $ ←− generates transcripts as results of STHP with random P Perm[n] and fixed inputs xi = i, Algorithm 2. O D D ǁ ǁ D D O O O O D We will show that the advantage of attacker in distinguishing the two worlds of (16) is at most the statistical distance between world 1 and world 2. Suppose we get a transcript τ from any of the two oracles 1 or 2, we will use it to simulate ’s oracles as follows. If makes query xi, we respond with ui vi wi from the transcript. Denote by A the set of all transcripts τ for which returns 1. Note that we can cleanly define this, as is deterministic and its decision only depends on τ ; moreover, the fact that world 2 uses fixed inputs D for P does not matter as it is a random permutation. Then, the advantage of is at most
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Related to Moving Towards Transcripts

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