FPGA Implementation of Elliptic Curve Point Multiplication Over Galois Field

Safeguarding data from unauthorized access became a major issue in various aspects of daily life. To secure this, Elliptic curve cryptography plays a vital role. Elliptic curve cryptography (ECC) processor was built using a binary field in this project. The Montgomery ladder, as well as unified point addition algorithm, are considered in EC Point Multiplication. The ECC Processor’s conclusive operations are ECPM to generate a public key. The elliptical curve forms a group point addition, to reduce the operation and minimize the area size in the processor. The proposed designs are simulated and synthesized in VIVADO 2018 tool.