Even if this result may seem natural, not surprising at all, it has not been explicitly written anywhere, as far as we know. Furthermore, it may be an unknown result for some people: Odelu et al. \cite{OdKu16,J+17} have proposed both an attribute-based encryption scheme in the Discrete Logarithm setting, without bilinear pairings, and an attribute-based encryption scheme in the RSA setting, both admitting AND policies. If these schemes were secure, then by using the implication that we prove in this paper, we would obtain secure identity-based encryption schemes in both the RSA and the Discrete Logarithm settings, without bilinear pairings, which would be a breakthrough in the area. Unfortunately, we present here complete attacks of the two schemes proposed by Odelu et al. in \cite{OdKu16,J+17}.
Category / Keywords: cryptographic protocols / attribute-based encryption, identity-based encryption Original Publication (with minor differences): IET Information Security, vol. 11 (6), pp. 332-337, 2017 Date: received 24 Jan 2017, last revised 28 Nov 2017 Contact author: javier herranz at upc edu Available format(s): PDF | BibTeX Citation Version: 20171128:091946 (All versions of this report) Short URL: ia.cr/2017/054