Enhanced FPGA Implementations for Doubling Oriented and Jacobi- Quartics Elliptic Curves Cryptography

The rapid advances in communication networks impose the fact of transferring big amounts of information worldwide every second. Considerable part of this information might need protection against fraud, modification and different types of intrusion. Both, the symmetric and asymmetric encryption algorithms provide different types of security services to protect sensitive information. Lately, the National Institute of Standards and Technology issued Federal Information Processing Standards to direct the researcher's attention to the asymmetric cryptographic algorithms based on elliptic curves. In this paper, algorithms and design issues related to two new curves: Doubling Oriented, and Jacobi-Quartics, are proposed and analyzed. Then, different implementation approaches are studied and applied for the different curves. Experimental results are provided to show the enhancements on the execution delay and the total design area of the proposed FPGA realizations.