Elliptic Curve The elliptic curve cryptosystem are modifications of other systems that work in the domains of elliptic curve rather than finite fields The elliptic curve cryptosystems appear to remain secure for smaller keys than other public-key cryptosystems The use of elliptic curves was first proposed by Miller(1986) and Koblitz(1987) Already, ECC is showing up in standardization efforts, including IEee P1363 Standard for Public-Key Cryptography 1616 Elliptic Curve • The elliptic curve cryptosystem are modifications of other systems that work in the domains of elliptic curve rather than finite fields. • The elliptic curve cryptosystems appear to remain secure for smaller keys than other public-key cryptosystems. • The use of elliptic curves was first proposed by Miller (1986) and Koblitz (1987). • Already, ECC is showing up in standardization efforts, including IEEE P1363 Standard for Public-Key Cryptography