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Lattice-Based Dual Receiver Encryption and More
Authors: Daode Zhang, Kai Zhang, Bao Li, Xianhui Lu, Haiyang Xue, Jie LiAbstract:
Dual receiver encryption (DRE), proposed by Diament et al. at ACM CCS 2004, is a special extension notion of public-key encryption, which enables two independent receivers to decrypt a ciphertext into a same plaintext. This primitive is quite useful in designing combined public key cryptosystems and denial of service attack-resilient protocols. Up till now, a series of DRE schemes are constructed from bilinear pairing groups and lattices. In this work, we introduce a construction of lattice-based DRE. Our scheme is indistinguishable against chosen-ciphertext attacks (IND-CCA) from the standard Learning with Errors (LWE) assumption with a public key of bit-size about 2nm\log q, where m and q are small polynomials in n. Additionally, for the DRE notion in the identity-based setting, identity-based DRE (IB-DRE), we also give a lattice-based IB-DRE scheme that achieves chosen-plaintext and adaptively chosen identity security based on the LWE assumption with public parameter size about (2\ell +1)nm\log q, where \ell is the bit-size of the identity in the scheme.
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