More Efficient Construction of Bounded KDM Secure Encryption

  • Kaoru KurosawaEmail author
  • Rie Habuka
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10355)


Let \(sk_i\) be the secret-key of user i for \(i=1, \ldots , \ell \), and \(pk_j\) be the public-key of user \(j \in \{1, \ldots , \ell \}\). A bounded Key Dependent Message (KDM) secure encryption scheme \(\mathcal{E}_{\mathrm{b-KDM}}\) provides security even when one encrypts \(f(sk_1, \ldots , sk_{\ell })\) under \(pk_j\) for any function f which has arbitrarily fixed circuit size. An \(\mathcal{E}_{\mathrm{b-KDM}}\) is known to be constructed from projection KDM seucrity. In this paper, we first show that it can be obtained from much weaker KDM security than the projection KDM security. We next present more efficient \(\mathcal{E}_{\mathrm{b-KDM}}\) than before under various assumptions.


KDM Key dependent message Encryption Garbling scheme 

Supplementary material


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Ibaraki UniversityHitachiJapan

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