The concept of universal modulus, meaning that the modulus used by each
authorized member of a group is identical, is a significant way to simplify the generation
and verification of a group-oriented signature. Since most existing group-oriented signature
systems using universal modulus are discrete logarithm based, RSA based solutions
become more significant because of its widely spread use. In this paper, based upon a
proper set of distributed RSA parameters produced by a key generation center, we first
propose an (r, r) threshold signature scheme in which all authorized signers of a group
can cooperate to sign a message on behalf of the group with a universal modulus. And
the security of the scheme is guaranteed because of the computational infeasibility of factoring
the used modulus. A generalized group-oriented signature scheme is subsequently
proposed from elaborately modifying the (r, r) threshold signature scheme. Also, the modulus
used by each authorized signer is universal and the security can be ensured in the
same way.
Relation:
International Journal of Innovative Computing, Information and Control 4(6):1335-1345
