For queries q1, Sample Clauses

For queries q1, qQ made by an adversary A in user-mult, if user-safe(q1, . . . , qQ) → true, it holds that none of the keys contained in nodes of Gu∗ser-mult are leaked to A via corruption. A Proof. Intuitively, user-safe ensures that for all ID that were in the group up to and including the challenge operation op∗ at t∗, if 1. ID was previously corrupted, or 2. ID was added to the group in epoch tID for which corrupt-oob(tID, ID) is later queried by , then either ID has since been removed or has been updated in an operation such that the out-of-band message is not corrupted. Thus, since only (updated and since uncorrupted) users that are in the group at time t∗ know any secrets at the nodes of τmka at this time (or any old version of encryption keys, or leaf keys that were updated with out-of-band corrupted keys), no information on these keys are leaked to the adversary via corruption. Formally, assume that some key k in some i ∈ Vu∗ser-mult is leaked to A via corruption. We will show that user-safe(q1, . . . , qQ) → false, a contradiction. There are three cases: ≤ A A G A
Sample 1Sample 2
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Related to For queries q1,

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