The devastating consequence of secret key exposure in digital signature is that any signature can be forged and cannot be trusted. To mitigate the damage of secret key exposure, forward-secure signature schemes and threshold signature schemes are devised. In this paper, we propose a robust forward-secure threshold signature scheme with the applicability to mobile ad-hoc network in mind. Our main objective is to reduce interaction among the set of signers and to reduce the dependency on broadcast as well as private point-to-point connections. We achieve this by avoiding the regular polynomial sharing and employing multiplicative sharing in a threshold structure. The security of our proposed threshold scheme is reducible to the security of a single-user scheme, which has been proven secure under the random oracle model.
Sherman S. M. Chow, H. W. Go, Lucas Chi Kwong Hui,