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The concept of proxy re-encryption (PRE) dates back to the work of Blaze,Bleumer, and Strauss in 1998. PRE offers delegation of decryption rights, i.e.,it securely enables the re-encryption of ciphertexts from one key to another,without relying on trusted parties. PRE allows a semi-trusted third partytermed as a ``proxy" to securely divert encrypted files of user A (delegator)to user B (delegatee) without revealing any information about the underlyingfiles to the proxy. To eliminate the necessity of having a costly certificateverification process, Green and Ateniese introduced an identity-based PRE(IB-PRE). The potential applicability of IB-PRE sprung up a long line ofintensive research from its first instantiation. Unfortunately, till today,there is no collusion-Resistant unidirectional IB-PRE secure in the standardmodel, which can withstand quantum attack. In this paper, we present the firstconcrete constructions of collusion-Resistant unidirectional IB-PRE, for bothselective and adaptive identity, which are secure in standard model based onthe hardness of learning with error problem.

Collusion-Resistant Identity-based Proxy Re-Encryption: Lattice-based Constructions in Standard Model