Group cryptography: Signature and encryption

Traditional group signature schemes reflect only one side of the spectrum of public cryptography, i.e., signing, where the group public key is used for a sole purpose: verification of group signatures. This paper describes a new group cryptographic system that presents a promise for both signing and encryption. That is, besides verifications, a sole group public key can be also used for encryption and the associated decryption can be implemented by any member in the designated group. The proposed system meets all key features for an ideal group cryptography.