Sequential Aggregate Signatures Working over Independent Homomorphic Trapdoor One-Way Permutation Domains

The contribution of this paper has two folds. In the first fold, we propose a generic construction of sequential aggregate signatures from families of certificated trapdoor one-way permutations. We show that our construction is provably secure in the random oracle model assuming that the underlying homomorphic permutations are trapdoor one-way. Compared to Lysyanskaya et al’s generic construction that is constructed from a trapdoor one-way permutation family working over the same domain [16], our scheme works over independent trapdoor one-way permutation domains. The flexible choice of the underlying permutation domains benefits our scheme to its applications in the real world where individual user may choose its working domain independently. In the second fold, we instantiate our generic construction with RSA so that the RSA moduli in our scheme can be chosen independently by individual user and thus the moduli is not required to be of the same length. Consequently, our proposed instantiation is the first scheme based on the RSA problem that works for any moduli – this is the most significant feature of our scheme different from the best results constructed from the RSA problem (say, Kawauchi et al’s scheme [14], and Lysyanskaya et al’s scheme [16]).