ELLIPTIC CURVES
Vijay Ramanarayanan
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Abstract
Using Elliptic curves as asubstitute to RSA for signcryption , technique which accomplishes digital signature and encryption in single procedure.
Key takeaways
- Thus the set of the multiples of P is a cyclic subgroup of the group formed by the elliptic curve.
- ➢ The order of P is linked to the order of the elliptic curve by Lagrange's theorem which states that the order of a subgroup is a divisor of the order of the parent group.
- Let P and Q be two known points on an elliptic curve over a finite field .
- Note that both Alice and Bob are using the same domain parameters: the same base point G on the same elliptic curve on the same finite field.
- In the initialization phase, system generates and publishes domain parameters of elliptic curve, and each user generates his own private key and the related public key.
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