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OALib Journal期刊
ISSN: 2333-9721
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Enhancing Security to the information using 3D Geometric Algebra properties to Elliptic curve Cryptography

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Abstract:

In ECC(Elliptic Curve Cryptography) algorithm we use only elliptic curves only. This paper is gives an idea of enhancing of ECC in two aspects. One is using of all symmetric curves from two dimensional geometry in the place of elliptic curve and another one is using three dimensional coordinates for elliptic curves. For using of all symmetric curves we are defining a new algebraic structure with three elements [ G, i, o ] Here G is collection of vertices of a figure. And i is identity element basing on the symmetric axis and o is an operation basing on the operation. "All the points lies on a symmetrical curve(2D) or on a symmetrical object(3D) forms an ABELIAN with respect to some operation" has to be proved

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