Hardware Implementation of Elliptic Curve Point Multiplication over GF(2m) for ECC protocols
Moncef Amara, Amar Siad · International Journal for Information Security Research · 2012
The Elliptic Curve Cryptography covers all relevant asymmetric cryptographic primitives like digital signatures and key agreement algorithms.In the present work, we develop a design of elliptic curve operations over binary Fields GF (2 m ).The function used for this purpose is the scalar multiplication kP which is the core operation of ECCs.Where k is an integer and P is a point on an elliptic curve.The EC Point multiplication processor defined in affine coordinates is achieved by using a dedicated Galois Field arithmetic implemented on FPGA using VHDL language.