[Resource Topic] 2015/1223: Chosen-Ciphertext Security from Subset Sum

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Chosen-Ciphertext Security from Subset Sum

Authors: Sebastian Faust, Daniel Masny, Daniele Venturi


We construct a public-key encryption (PKE) scheme whose security is polynomial-time equivalent to the hardness of the Subset Sum problem. Our scheme achieves the standard notion of indistinguishability against chosen-ciphertext attacks (IND-CCA) and can be used to encrypt messages of arbitrary polynomial length, improving upon a previous construction by Lyubashevsky, Palacio, and Segev (TCC 2010) which achieved only the weaker notion of semantic security (IND-CPA) and whose concrete security decreases with the length of the message being encrypted. At the core of our construction is a trapdoor technique which originates in the work of Micciancio and Peikert (Eurocrypt 2012).

ePrint: https://eprint.iacr.org/2015/1223

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