Abstract
Structure-preserving primitives are important building blocks in cryptographic protocols. Up to now, the only structure-preserving public-key encryption (SP-PKE) with CCA security over asymmetric pairing groups is based on the SXDH assumption, due to Libert et al. [18]. In this work, we propose a general framework of constructing SP-PKE with leakage-resilient CCA security (which implies the IND-CCA2 security). The corresponding instantiations result in the first leakage-resilient CCA secure SP-PKE from the Matrix Decision Diffie-Hellman (MDDH) assumption (including the SXDH and k-Linear assumptions) over asymmetric pairing groups. The ciphertext of our SP-PKE also enjoys the publicly verifiable property.
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