Strongly Unforgeable ID-based Signatures Without Random Oracles
There is an open problem to construct ID-based signature schemes which satisfy strongly EUF-ID-CMA, without random oracles. It is known that strongly EUF-ID-CMA is a concept of the strongest security in ID-based signatures. In this paper, we propose a solution to the open problem, that is an ID-based signature scheme, which satisfies strongly EUF-ID-CMA, without random oracles for the first time. Security of the scheme is based on the difficulty to solve three problems related to the Diffie-Hellman problem and a one-way isomorphism.