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• W3096738897 abstract "Non-interactive zero-knowledge proofs or arguments allow a prover to show validity of a statement without further interaction. For non-trivial statements such protocols require a setup assumption in form of a common random or reference string (CRS). Generally, the CRS can only be used for one statement (single-theorem zero-knowledge) such that a fresh CRS would need to be generated for each proof. Fortunately, Feige, Lapidot and Shamir (FOCS 1990) presented a transformation for any non-interactive zero-knowledge proof system that allows the CRS to be reused any polynomial number of times (multi-theorem zero-knowledge). This FLS transformation, however, is only known to work for either computational zero-knowledge or requires a structured, non-uniform common reference string.In this paper we present FLS-like transformations that work for non-interactive statistical zero-knowledge arguments in the common random string model. They allow to go from single-theorem to multi-theorem zero-knowledge and also preserve soundness, for both properties in the adaptive and non-adaptive case. Our first transformation is based on the general assumption that one-way permutations exist, while our second transformation uses lattice-based assumptions. Additionally, we define different possible soundness notions for non-interactive arguments and discuss their relationships." @default.
• W3096738897 created "2020-11-09" @default.
• W3096738897 creator A5061247918 @default.
• W3096738897 creator A5089630063 @default.
• W3096738897 date "2021-01-01" @default.
• W3096738897 modified "2023-09-30" @default.
• W3096738897 title "Single-to-Multi-theorem Transformations for Non-interactive Statistical Zero-Knowledge" @default.
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• W3096738897 doi "https://doi.org/10.1007/978-3-030-75248-4_8" @default.
• W3096738897 hasPublicationYear "2021" @default.
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