Ring Signature Schemes from Lattice Basis Delegation

In this paper, we propose a set of ring signature (RS) schemes using the lattice basis delegation technique due to [6,7,12]. Our proposed schemes fit with ring trapdoor functions introduced by Brakerski and Kalai [18], and we obtain the first lattice-based ring signature scheme in the random oracle model. Moreover, motivated by Boyen's work [16], our second construction in the standard model achieves in stronger security definitions and shorter signatures than Brakeski-Kalai scheme.