Algebraic Geometry
Abstract
The purpose of this paper is to provide an overview of projective planes and their appli-
cation in public key cryptography. We start with a survey of affine and projective space
and plane, then, at that point, continue on toward the ideas important to make sense of
Bezout’s all’s hypothesis, which presents the quantity of spots at which two curves meet.
The essential features of elliptic curves are thoroughly explored. We proceed with our
exposition by talking about open key cryptography and how elliptic curves connect with
it. At long last, we depict a projective plane gathering regulation and its application for
public key cryptography.
Description
Keywords
affine space, projective space, affine plane, projective plane, Bezout’s theorem, ellipticcurves, publickeycryptography, Diffie-Hellmankeyexchange, Discretelogarithm, Quantum computing