A vector space RSA digital signature scheme

A new digital signature scheme, i.e. vector space RSA digital signature scheme, which includes the scheme in [1] as a particular case, is proposed based on vector space secret sharing scheme and RSA digital signature scheme. In this scheme, N participants share the secret in RSA signature scheme. This scheme can assure that the group signature can be easily produced by the cooperation of the participants in an authorized subset in vector space access structure G and it is impossible for them to generate a group signature by the cooperation of the participants in an unauthorized subset.