Design of ID-Based Public Key Isocryptosystem using DIDLP for Communication

In 1984, the structure of an identity-based cryptosystem presented by Shamir [1]. In this approach, applicant must first run into key verification center (KVC) to verify their identity prior to connection an intercommunication system. Once authenticated, the KVC issues a secret key to the applicant. This structure allows applicant to intercommunication with one another applying only their "identity" and the universal key of the KVC, without requiring a universal file. Whereas Shamir's structure establish the foundation, he was inadequate to develop an entirely operative identity-based cryptosystem and rather created an ID-builted signature structure. In this article, we design an ID-built isocryptosystem using double isodiscrete logarithm problem. We also address the security of this structure against potential conspiracies involving multiple entities and analyse how to improve its overall security.