In Tightly Secure Ring-LWE Based Key Encapsulation with Short Ciphertexts we — together with Emmanuela Orsini, Kenny Paterson, Guy Peer and Nigel Smart — give a tight reduction of Alex Dent’s IND-CCA secure KEM conversion (from an OW-CPA schemes) when the underlying scheme is (Ring-)LWE:

Abstract:We provide a tight security proof for an IND-CCA Ring-LWE based Key Encapsulation Mechanism that is derived from a generic construction of Dent (IMA Cryptography and Coding, 2003). Such a tight reduction is not known for the generic construction. The resulting scheme has shorter ciphertexts than can be achieved with other generic constructions of Dent or by using the well-known Fujisaki-Okamoto constructions (PKC 1999, Crypto 1999). Our tight security proof is obtained by reducing to the security of the underlying Ring-LWE problem, avoiding an intermediate reduction to a CPA-secure encryption scheme. The proof technique maybe of interest for other schemes based on LWE and Ring-LWE.

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