Elliptic Curve DSA
Elliptic Curve DSA is a variant of the Digital Signature Algorithm which operates in the elliptic curve group.
One of the reasons this algorithm is prefered over DSA is efficiency reasons. To be as secure DSA requires that  to be secure against a Number Field Sieve attack and  to be secure against a BSGS attack. In practical terms this means the DSA is slower than RSA as a signature scheme.
However the elliptic curve group is not vulnerable to a Number Field Sieve attack so can be securely implemented with smaller key sizes and hence be faster than RSA.
Referenced By
Elliptic curve | Elliptical curve | Topics in cryptography
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