@techreport{TR-IC-14-18, number = {IC-14-18}, author = {Karina Mochetti and Ricardo Dahab}, title = {{Ideal Lattice-based (H)IBE Scheme}}, month = {November}, year = {2014}, institution = {Institute of Computing, University of Campinas}, note = {In English, 21 pages. \par\selectlanguage{english}\textbf{Abstract} In an Identity-Based Encryption Scheme, the public key is based on unique user's information, such as an email address, so it is possible to perform the decryption without public-key certification. Ideal lattices are a generalization of cyclic lattices, in which the lattice corresponds to ideals in a ring. They allow some improvements in the parameters size and multiplication complexity. In this paper, we present a version of the lattice-based (H)IBE scheme by Agrawal, Boneh, Boyen (Eurocrypt'10) for ideal lattices. As the underlying (H)IBE scheme, our scheme is shown to be weak selective secure based on the difficulty of the Learning With Errors Problem (LWE), but our new primitive has smaller public keys. } }