Multiple Trusted Authorities in Identifier Based Cryptography from Pairings on Elliptic Curves

identifier based cryptography, multiple trusted authority, pairings We investigate a number of issues related to a key generation service in identifier based cryptographic technology. In particular, we focus on how to make this service more trustworthy. Our solution is the use of multiple trusted authorities in identifier based cryptography (MTAIBC), where these trusted authorities work together to issue a private key based on one or more given identifiers. However, to do this, these trusted authorities do not need to communicate with each other to establish a shared secret; and the users can freely choose a number of trusted authorities for their application purposes, which is not dependent on whether or not those trusted authorities have an agreement to work together. In the document, we give seven algorithms, each for a specific construct of the trusted authorities, and we also introduce a few examples of possible applications that can be implemented by using these algorithms.