An Efficient Identity Based Multi- Proxy Multi-Signcryption Scheme for Electronic Commerce using Bilinear Pairing

With the rapid growth of electronic commerce and the increasing need for secure communication in online transactions, there is a pressing demand for efficient and secure cryptographic schemes. The researcher is using various approaches to secure communication in online transactions. However, ensuring secure communication and protecting sensitive information in electronic commerce (E-commerce) systems remains a significant concern. Traditional cryptographic schemes often suffer from limitations in terms of efficiency, scalability, and flexibility. Thus, the proposed work presents an innovative Identity Based Multi-Proxy Multi-Signcryption (IB-MPMS) scheme for electronic commerce applications. It involves the collaboration of two distinct groups of signcrypters namely original signcryption and group of proxy signcrypters. To facilitate this process in the domain of secure and efficient communication in electronic commerce, we design a multi-proxy multi-signcryption scheme with the help of the bilinear pairings. This authorization enables the generation of a multi-proxy multi-signcryption in the proposed IB-MPMS scheme. Moreover, the collaborative effort of all signcrypters in the proxy group is considered towards the implementation of these multi-proxy multi-signcryption approaches. Due to the utilization of identity-based cryptography, the proposed scheme IB-MPMS effectively addresses the key management problem, resulting in simplified processes. However, in the proposed IB-MPMS scheme both the original and proxy signcrypter ensures fair protection during E-commerce transactions. Moreover, in comparison to previous schemes, our proposed scheme exhibits more efficiency. From a computational perspective, our scheme only necessitates 4 pairing computations, whereas the state of art requires 8 pairing computations.