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Probabilistic Analysis of Elliptic Curve

Sunil Kumar Kashyap, Aakanshha Dubey

Abstract


This paper presents an analysis of an elliptic curve based on probability. The objective of the proposed work is to transform the elliptic curve into a distributive elliptic curve. The application of elliptic curve will be broader than the existing. The discrete and continuous distribution is defined in this paper on the elliptic curve. The mapping between these distributions becomes the interesting thing to study in the context of applicability in intelligent systems because the work interacted with another type of one-way hash function.

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References


W. Tate. The Arithmetic of Elliptic Curves. IM; 1974; 23: 179–206p.

L. Washington. Elliptic Curves: Number Theory and Cryptography. Chapman-Hall; 2003.

S. Lang. Elliptic curves: Diophantine analysis. GDMW, 231, Springer-Verlag; 1978.


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