Elliptic Curve Cryptography

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Presentation transcript:

Elliptic Curve Cryptography

Outline Introduction to elliptic curves Elliptic curve Diffie-Hellman key agreement Elliptic curve Digital Signature Algorithm

Q=(x,-y)

How do elliptic curve cryptosystems compare with other cryptosystems? Roughly speaking, elliptic curve cryptosystems with a 160-bit key offer about the same security as RSA and discrete logarithm based systems with a 1024-bit key. As a result, the length of the public key and private key is much shorter in elliptic curve cryptosystems. Elliptic curve cryptosystems are faster than the RSA system in signing and decryption, but slower in signature verification and encryption. Reference: http://www.rsa.com/rsalabs/node.asp?id=2245