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Puncturable encryption (PE), proposed by Green and Miers at IEEE S&P 2015, isa kind of public key encryption that allows recipients to revoke individualmessages by repeatedly updating decryption keys without communicating withsenders. PE is an essential tool for constructing many interestingapplications, such as asynchronous messaging systems, forward-secret zeroround-trip time protocols, public-key watermarking schemes and forward-secretproxy re-encryptions. This paper revisits PEs from the observation that thepuncturing property can be implemented as efficiently computable functions.From this view, we propose a generic PE construction from the fullykey-homomorphic encryption, augmented with a key delegation mechanism (DFKHE)from Boneh et al. at Eurocrypt 2014. We show that our PE construction enjoysthe selective security under chosen plaintext attacks (that can be convertedinto the adaptive security with some efficiency loss) from that of DFKHE in thestandard model. Basing on the framework, we obtain the first post-quantumsecure PE instantiation that is based on the learning with errors problem,selective secure under chosen plaintext attacks (CPA) in the standard model. Wealso discuss about the ability of modification our framework to support theunbounded number of ciphertext tags inspired from the work of Brakerski andVaikuntanathan at CRYPTO 2016.

Puncturable Encryption: A Generic Construction from Delegatable Fully Key-Homomorphic Encryption