A New Public Key Cryptosystem Based on Edwards Curves

Maher Boudabra; Abderrahmane Nitaj

eprint.iacr.org will be offline for approximately an hour for routine maintenance at 11pm UTC on Tuesday, April 16. We lost some data between April 12 and April 14, and some authors have been notified that they need to resubmit their papers.

Paper 2019/1051

A New Public Key Cryptosystem Based on Edwards Curves

Maher Boudabra and Abderrahmane Nitaj

Abstract

The elliptic curve cryptography plays a central role in various cryptographic schemes and protocols. For efficiency reasons, Edwards curves and twisted Edwards curves have been introduced. In this paper, we study the properties of twisted Edwards curves on the ring $\mathbb{Z}/n\mathbb{Z}$ where $n=p^rq^s$ is a prime power RSA modulus and propose a new scheme and study its efficiency and security.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Published elsewhere. Minor revision. Journal of Applied Mathematics and Computing
Keywords: Elliptic curves Twisted Edwards curves RSA cryptosystem KMOV cryptosystem
Contact author(s): abderrahmane nitaj @ unicaen fr
History: 2019-09-18: received
Short URL: https://ia.cr/2019/1051
License: CC BY

BibTeX

@misc{cryptoeprint:2019/1051,
      author = {Maher Boudabra and Abderrahmane Nitaj},
      title = {A New Public Key Cryptosystem Based on Edwards Curves},
      howpublished = {Cryptology ePrint Archive, Paper 2019/1051},
      year = {2019},
      note = {\url{https://eprint.iacr.org/2019/1051}},
      url = {https://eprint.iacr.org/2019/1051}
}