Quasi-Adaptive NIZK for Linear Subspaces Revisited.

作者: Hoeteck Wee , Eike Kiltz

DOI:

关键词: Mathematical proofHomomorphic encryptionComputer scienceCryptographyEncryptionPairingLinear subspaceGroup (mathematics)Simple (abstract algebra)Theoretical computer science

摘要: Non-interactive zero-knowledge (NIZK) proofs for algebraic relations in a group, such as the GrothSahai proofs, are an extremely powerful tool pairing-based cryptography. A series of recent works focused on obtaining very efficient NIZK linear spaces weaker quasi-adaptive model. We revisit quasiadaptive constructions, providing clean, simple, and improved constructions via conceptually different approach inspired by developments identity-based encryption. then extend our techniques also to linearly homomorphic structure-preserving signatures, object both independent interest with many applications.

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