Algebraic Geometry

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2024

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Sussex University

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.

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affine space, projective space, affine plane, projective plane, Bezout’s theorem, ellipticcurves, publickeycryptography, Diffie-Hellmankeyexchange, Discretelogarithm, Quantum computing

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