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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.
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