Abstract: An encryption module and the decryption module cooperate with an identity-based key generator of users in a communication system in order to use an identity-based and certificate-based construction using two or more encryption schemes. An encrypted message is communicated between users of the communication system such that the encrypted message received by the device of the user needs keys from each of the two or more encryption schemes to be able to decrypt the encrypted message. The validation module cooperates with a limited-time of validity certificate issued from a certificate authority platform to decrypt the encrypted message via the limited-time of validity certificate. The validation module allows the decryption module to decrypt the encrypted message with the limited-time of validity certificate corresponding to an identity of the user when the user is determined to be actually validated for a period of time specified for the limited-time of validity certificate.

Abstract: Techniques of generating a lattice-based verification matrix and signature vector are disclosed. The method enables a generating device to sample a gadget matrix and then generate a reduced gadget matrix. The generating device may then sample a trapdoor matrix and use the trapdoor matrix and the reduced gadget matrix to generate a verification matrix. A sending device may receive the trapdoor matrix and the verification matrix from the generating device, in addition to receiving a message. The sending device may then use the trapdoor matrix and the verification matrix to generate a signature vector for the message. A verification device can receive the verification matrix, the message, and the signature vector. The verification device may use the verification matrix and the signature vector to verify the message.

Abstract: Techniques of generating a lattice-based verification matrix and signature vector are disclosed. The method enables a generating device to sample a gadget matrix and then generate a reduced gadget matrix. The generating device may then sample a trapdoor matrix and use the trapdoor matrix and the reduced gadget matrix to generate a verification matrix. A sending device may receive the trapdoor matrix and the verification matrix from the generating device, in addition to receiving a message. The sending device may then use the trapdoor matrix and the verification matrix to generate a signature vector for the message. A verification device can receive the verification matrix, the message, and the signature vector. The verification device may use the verification matrix and the signature vector to verify the message.

Abstract: Techniques of generating a lattice-based verification matrix and signature vector are disclosed. The method enables generating device to sample a gadget matrix and then generate a reduced gadget matrix. The generating device may then sample a trapdoor matrix and use the trapdoor matrix and the reduced gadget matrix to generate a verification matrix. A sending device may receive the trapdoor matrix and the verification matrix from the generating device, in addition to receiving a message. The sending device may then use the trapdoor matrix and the verification matrix to generate a signature vector for the message. A verification device can receive the verification matrix, the message, and the signature vector. The verification device may use the verification matrix and the signature vector to verify the message.