Model: GGM (Generic Group Model)

Statements with model: ggm. This page only exists because at least one statement currently uses this value – if you add a statement with a new model value not listed under Problems, copy this page as the starting point for its facet page (see CONTRIBUTING.md).

Status Statement Tags
Groth16 optimality (pure GGM)
Open: whether every sound, non-interactive, publicly verifiable pairing-based argument in the pure generic group model needs at least three group elements, matching Groth16. 2 open
ggmtight-boundresearch-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)
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