Key Agreement

Two-party protocols for agreeing on a shared secret, and their black-box (im)possibility from weaker primitives.

Status Statement Tags
No key agreement from GC-OWF
Open for round complexity growing with the security parameter. Proved in full for two messages, which is public-key encryption; the constant-round extension is sketched in the paper’s appendix without a theorem, its security half deferred to the PKE proof. 5 open
Black Box SeparationsGarbled CircuitsKey Agreementotherseparationadaptation (ai)
OWFs are black-box useless for key agreement
Open in the general case, which the paper names as the central open problem left by its work. Settled for three restricted protocol classes: constant-query perfect, constant-round constant-query imperfect, and Merkle-type. 5 open
Black Box SeparationsKey AgreementOne Way Functionsotherimpossibility
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