Research On The Identity-based Digital Signature For Mobile Communication Technology

In the resource-constrained mobile communication environment, the digitalcertificate-based public key cryptography is not suitable for applications in mobile phonesor other mobile terminal. The tremendous number of mobile users results increasing themore complexity of the digital certificate management, and using the more resources andbandwidth. to some extent, these limits the widespread use of mobile Internet serviceswith high security requirements. In identity-based public key cryptography, the user’spublic key can directly generate through the user’s identity information in local. It can beused to avoid the problem of the complicated certificate management and high costs.Based on the basic theory of the finite field, it studied how to construct Tate pairingon the Elliptic curve group which meets the difficulty of computing the discrete logarithmproblem. It also made a further discussion and optimization Miller algorithm which is thealgorithm of computing Tate pairing. And do the research on how to realize the digitalsignature scheme based on identity and the specific application in mobile communicationThe main elements of this design as follows:First, this article made a introduction and analysis about Mobile Internet. Andillustrate the main security problem the Mobile Internet has faced. According to theproblems, make an solution by using cryptographic techniques.After that, the relevant basic theory of bilinear pairings is introduced. Proceed fromthe theory of elliptic curve, given the definition of rational functions, and divisor, andbilinear pairing. Based on this, the cryptography significance bilinear pairings, Tate wasderived. And then, paper focus on and optimize the algorithm of computing the Tatepairing, Miller algorithm. It can make Tate pairing compute effectively in the mobilenetwork environment with limited resources.And then, through the analysis of the scheme and reference other identity-baseddigital signature scheme, I made an improvement to it. At last this paper introduced how tomake the specific implementation of identity-based digital signature. Message pushingservice was designed to apply identity-based digital signature scheme in mobilecommunication. Then using a simple icon introduced the process of Identity-based signature and verification.At last, the design of the graduation process was concluded.