Research On Multi-party Signcryption Scheme In Heterogeneous Cryptography

With the advent of big data,cloud computing,and Internet of Things,cross-platform applications and operations will become more common.When platforms use different cryptographic techniques,heterogeneous cryptographic algorithms provide security for these systems.So far,although heterogeneous cryptographic schemes have been proposed,most studies of that are based on public key infrastructure and identity-based public key cryptosystems and other heterogeneous cryptographic algorithms with different system parameters among other public key cryptosystems have yet to be studied.Meanwhile,since the interaction of information in the actual network is not only a one-to-one model,it often includes one-to-many,many-to-one,many-to-many,etc.In order to meet the needs of multiple communication modes for users and to solve the problems such as large amount of computation and communication overhead when multi-user participate,it is necessary to design multi-party heterogeneous cryptographic schemes which are more suitable for practical applications with low computational load and traffic,and provide a better experience for users' network communications in big data environments.The main research of this paper is as follows:(1)Proposing a provably secure heterogeneous aggregation signcryption scheme which provides communication guarantees from the public key infrastructure to the identity-based cryptosystem.It can both realize single message signcryption verification and multiple message aggregation verification.The number of bilinear pairs required for verification is fixed,regardless of the number of signcryption message.In the random oracle model,it is proved that the confidentiality and unforgeability of the scheme are respectively based on bilinear Diffie-Hellman inversion problem and discrete logarithm problem.Theoretical and experimental results show that the program has greatly increases computing and transmission efficiency.(2)Proposing a privacy-preserving multi-receiver heterogeneous signcryption scheme.The scheme is a heterogeneous signcryption scheme from a certificateless cryptosystem to an identity cryptosystem.It allows multiple senders to communicate securely with multiple recipients and achieves anonymity for users in the system.The sender's real information can be tracked by trust agencies.In the random oracle model,it is proved that the scheme can be indistinguishable under the adaptively chosen ciphertext attack and existential unforgeability under the adaptively chosen message attack.The experimental results show that it effectively improves the computational efficiency.(3)Proposing a heterogeneous hybrid signcryption scheme for multiple message and multiple receiver.It is a scheme with different system parameters for the identity-based cryptosystems to certificateless cryptosystems,allowing the sender to send multiple messages to many recipients at the same time and achieve anonymity for the users in the system.In the random oracle model,it proved that the indivisibility and existence unforgeability of the scheme satisfy adaptively chosen ciphertext attack and adaptively chosen message attack.Experimental results show that the scheme effectively improves the computational transmission efficiency of the system.