Elliptic Curve Protocol

What are elliptic curves?

• An elliptic curve is a curve that's also naturally a group.• Elliptic curves appear in many diverse areas of

mathematics, ranging from number theory to complex

analysis, and from cryptography to mathematical physics.

• Ref: Joseph H. Silverman, Computational Number Theory and• Applications to Cryptography• University of Wyoming• June 19 July 7, 2006

In simple words

• Elliptic curve is the set of points, that are generated from the formula:

Y² = x³ + ax + bWhere 4a³ + 27 b² ≠ 0.a&b Є K : 1. R : real Numbers 2. Q : Rational Numbers 3. C : Complex Numbers 4. Z /pZ : integer Modulres

What it looks like?

What it looks like?

What it looks like?

What it looks like?

Why Elliptic Curves…?

• Shorter encryption keys use fewer memory and CPU resources.