A Framework for Achieving KDM-CCA Secure Public-Key Encryption

  • Fuyuki KitagawaEmail author
  • Keisuke TanakaEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11273)


We propose a framework for achieving a public-key encryption (PKE) scheme that satisfies key dependent message security against chosen ciphertext attacks (KDM-CCA security) based on projective hash function. Our framework can be instantiated under the decisional diffie-hellman (DDH), quadratic residuosity (QR), and decisional composite residuosity (DCR) assumptions. The constructed schemes are KDM-CCA secure with respect to affine functions and compatible with the amplification method shown by Applebaum (EUROCRYPT 2011). Thus, they lead to PKE schemes satisfying KDM-CCA security for all functions computable by a-priori bounded size circuits. They are the first PKE schemes satisfying such a security notion in the standard model using neither non-interactive zero knowledge proof nor bilinear pairing. The above framework based on projective hash function captures only KDM-CCA security in the single user setting. However, we can prove the KDM-CCA security in the multi user setting of our concrete instantiations by using their algebraic structures explicitly. Especially, we prove that our DDH based scheme satisfies KDM-CCA security in the multi user setting with the same parameter setting as in the single user setting.


Key dependent message security Chosen ciphertext security Projective hash function 



A part of this work was supported by Input Output Hong Kong, Nomura Research Institute, NTT Secure Platform Laboratories, Mitsubishi Electric, JST CREST JPMJCR14D6, JST OPERA, JSPS KAKENHI JP16H01705, JP16J10322, JP17H01695.


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Copyright information

© International Association for Cryptologic Research 2018

Authors and Affiliations

  1. 1.Tokyo Institute of TechnologyTokyoJapan

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