| Abstract: | In order to protect historical ciphertext when the private key leaked in the broadcasting system, the forward-secure multi-receiver signcryption scheme is designed based on the generic graded multilinear mapping encoding structure, which effectively prevents illegal access from intruder to the ciphertext in the past time period when the private key in current time period is revealed. Through the generalization of the existing multilinear mapping encoding system, it proposes the generic graded multilinear mapping encoding structure and the generic graded decision Diffie-Hellman problem. Because of the generic graded multilinear mapping encoding system adopted, almost all candidate multilinear mapping encoding systems can automatically adapt to our scheme. Under the assumption of generic graded decision Diffie-Hellman problem, it has proved that the scheme has the information confidentiality and unforgeability in the current time period. After putting forward the security model of forward-secure multi-receiver signcryption scheme, and under the assumption of generic graded decision Diffie-Hellman problem, it has proved that the scheme has the message forward-confidentiality and forward-unforgeability. Compared with other forward-secure public key encryption schemes, the relationship between our scheme and time periods is sub-linear, so it is less complex. |
