A Modified (t, n) Threshold Group Signature Generation and (k, m) Threshold Group Signature Verification Scheme
Ganesh Mante, Snehil Joshi · 2011
Globalization of the Internet has boosted electronic information exchange on both the personal and business levels. There is a need of the authentication of messages sent by a group of individuals to another group. A (t, n) threshold group signature scheme is a method for allowing a member of a group to anonymously sign a message on behalf of the group. The idea of threshold cryptography is to protect information by distributing it among a cooperating member. Following some ideas of the classical threshold signature scheme, a (t, n) threshold group signature scheme and (k, m) threshold group signature verification scheme based on discrete logarithm problem is proposed. The group signature is generated by at least t group members and is verified by at least k members in the group. Only one group public key is required. Each group member separately signs the message. The scheme is highly secure and resists the conspiracy attack. Index Terms-Discrete logarithm, Group Signature, Galois Field, Polynomial, Signers, Threshold, Verifiers —————————— a ——————————