Public-Key Cryptography

Statements tagged with the public-key area. This is a generated view, not a home directory – a statement can belong to several areas at once. See all statements for the full index, or the schema for what each column means.

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
otherseparationresearch-openadaptation (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. 6 open
otherimpossibilityresearch-opennew-idea (ai)
No round-optimal pairing-free blind signature
Open for a polynomial query budget. The impossibility is proved when User_2 and Verify together make O(log lambda) random-oracle queries, including when oracle outputs contain group elements; the superpolynomial message space hypothesis is retained. 5 open
ggmimpossibilityresearch-openadaptation (ai)
Three moves from DL, ROM only
Open: three moves, black-box in the group, ROM only, from DL alone. Three moves is achieved from DDH in the ROM and from DL in AGM+ROM; four moves is achieved from DL in the ROM. 5 open
romassumptionresearch-opennew-idea (ai)
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