A new public key cryptosystem based on Edwards curves

Maher Boudabra; Abderrahmane Nitaj

doi:10.1007/s12190-019-01257-y

A new public key cryptosystem based on Edwards curves

Maher Boudabra, Abderrahmane Nitaj^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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 Z/ nZ where n= p^rq^s is a prime power RSA modulus and propose a new scheme and study its efficiency and security.

Original language	English
Pages (from-to)	431-450
Number of pages	20
Journal	Journal of Applied Mathematics and Computing
Volume	61
Issue number	1-2
DOIs	https://doi.org/10.1007/s12190-019-01257-y
State	Published - 1 Oct 2019
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2019, Korean Society for Computational and Applied Mathematics.

Keywords

Elliptic curves
KMOV cryptosystem
RSA cryptosystem
Twisted Edwards curves

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

Access to Document

10.1007/s12190-019-01257-y

Cite this

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title = "A new public key cryptosystem based on Edwards curves",

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 Z/ nZ where n= prqs is a prime power RSA modulus and propose a new scheme and study its efficiency and security.",

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AU - Nitaj, Abderrahmane

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N2 - 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 Z/ nZ where n= prqs is a prime power RSA modulus and propose a new scheme and study its efficiency and security.

AB - 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 Z/ nZ where n= prqs is a prime power RSA modulus and propose a new scheme and study its efficiency and security.

KW - Elliptic curves

KW - KMOV cryptosystem

KW - RSA cryptosystem

KW - Twisted Edwards curves

UR - https://www.scopus.com/pages/publications/85073238161

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DO - 10.1007/s12190-019-01257-y

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ER -

A new public key cryptosystem based on Edwards curves

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this