作者: Hoeteck Wee , Eike Kiltz
DOI:
关键词: Mathematical proof 、 Homomorphic encryption 、 Computer science 、 Cryptography 、 Encryption 、 Pairing 、 Linear subspace 、 Group (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.