Design and Implementation of Ec Based Cryptosystem on Fpga

As computing and communication devices are equipped with increasingly versatile wireless connection capabilities, the demand for security increases. Cryptography provides a method for securing and authenticating the transmission of information over the insecure channels. Elliptic Curve [EC] Cryptography is a public key cryptography which replaces RSA because of its increased security with lesser number of key bits .EC point multiplication module will be available in majority of secure communication systems. The most crucial operation in Elliptic Curve Cryptosystem is the computation of point multiplication, i.e., computation of kP for given integer k and point P on elliptic curve. This work aims to design and implement elliptic curve based crypto system on a single field programmable gate array (FPGA).The hardware complexity is reduced using normal basis representation of GF and projective co-ordinate representation of elliptic curves. Keywords—Elliptic Curve Cryptosystems, Gaussian Normal Basis, Finite Fields, FPGA.