Probabilistic Analysis of Elliptic Curve

Authors

  • Sunil Kumar Kashyap School of Advanced Sciences, Vellore Institute of Technology University, Vellore, Tamil Nadu
  • Aakanshha Dubey Kalinga University, Raipur, Chhattisgarh

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.

Author Biographies

  • Sunil Kumar Kashyap, School of Advanced Sciences, Vellore Institute of Technology University, Vellore, Tamil Nadu
    Department of Mathematics
  • Aakanshha Dubey, Kalinga University, Raipur, Chhattisgarh
    Department of Mathematics,

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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Published

2017-12-15

Issue

Vol. 3 No. 2 (2017)

Section

Articles