Abstract
In a famous paper at Crypto’01, Boneh and Franklin proposed the first fully functional identity-based encryption scheme (IBE), around fifteen years after the concept was introduced by Shamir. Their scheme achieves chosen-ciphertext security (i.e., secure in the sense of IND-ID-CCA); however, the security reduction is far from being tight.
In this paper, we present an efficient variant of the Boneh-Franklin scheme that achieves a tight security reduction. Our scheme is basically an IBE scheme under two keys, one of which is randomly chosen and given to the user. It can be viewed as a continuation of an idea introduced by Katz and Wang; however, unlike the Katz-Wang variant, our scheme is quite efficient, as its ciphertext size is roughly comparable to that of the original full Boneh-Franklin scheme. The security of our scheme can be based on either the gap bilinear Diffie-Hellman (GBDH) or the decisional bilinear Diffie-Hellman (DBDH) assumptions.
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Attrapadung, N., Furukawa, J., Gomi, T., Hanaoka, G., Imai, H., Zhang, R. (2006). Efficient Identity-Based Encryption with Tight Security Reduction. In: Pointcheval, D., Mu, Y., Chen, K. (eds) Cryptology and Network Security. CANS 2006. Lecture Notes in Computer Science, vol 4301. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11935070_2
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DOI: https://doi.org/10.1007/11935070_2
Publisher Name: Springer, Berlin, Heidelberg
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