The basic Elliptic Curve Cryptosystem used for encryption is Elgamal encryption scheme, it is a public key cryptosystem which is based on the difficulty of the Elliptic Curve Discrete Logarithm Problem (ECDLP). However, this cryptosystem does not guarantee all the security constraints. In this article, we propose a new public key cryptosystem that provides all the security constraints such as confidentiality, integrity, authenticity and non-repudiation of the data using Elliptic Curves.
ECC; ECDLP; Elliptic Curve Diffie-Hellman key exchange; Elgamal cryptosystem; public-key encryption; Hash function; man-in-middle attack
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Cite this paper
Nissa Mehibel, M’hamed Hamadouche. (2017) A public key data encryption based on elliptic curves. International Journal of Mathematical and Computational Methods, 2, 393-401