(Hierarchical) Identity-Based Encryption from Affine Message Authentication

Abstract : We provide a generic transformation from any affine message authentication code (MAC) to an identity-based encryption (IBE) scheme over pairing groups of prime order. If the MAC satisfies a security notion related to unforgeability against chosen-message attacks and, for example, the k-Linear assumption holds, then the resulting IBE scheme is adaptively secure. Our security reduction is tightness preserving, i.e., if the MAC has a tight security reduction so has the IBE scheme. Furthermore , the transformation also extends to hierarchical identity-based encryption (HIBE). We also show how to construct affine MACs with a tight security reduction to standard assumptions. This, among other things, provides the first tightly secure HIBE in the standard model.
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Ran Canetti and Juan Garay. Advances in Cryptology - Proceedings of CRYPTO '14, 2014, Santa Barbara, California, United States. Springer, Crypto 2014, 8616, pp.408-426, 2014, Lecture notes in computer science. 〈10.1007/978-3-662-44371-2_23〉
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Olivier Blazy, Eike Kiltz, Jiaxin Pan. (Hierarchical) Identity-Based Encryption from Affine Message Authentication. Ran Canetti and Juan Garay. Advances in Cryptology - Proceedings of CRYPTO '14, 2014, Santa Barbara, California, United States. Springer, Crypto 2014, 8616, pp.408-426, 2014, Lecture notes in computer science. 〈10.1007/978-3-662-44371-2_23〉. 〈hal-01239920〉

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