@misc{cryptoeprint:2018:451, author = {Shuichi Katsumata and Shota Yamada and Takashi Yamakawa}, title = {Tighter Security Proofs for GPV-IBE in the Quantum Random Oracle Model}, howpublished = {Cryptology ePrint Archive, Report 2018/451}, year = {2018}, url = {https://eprint.iacr.org/2018/451}, }