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Elliptic Curve Cryptography in Practice [PDF]

open access: yesLecture Notes in Computer Science, 2014
In this paper we perform a review of elliptic curve cryptography (ECC) as it is used in practice today in order to reveal unique mistakes and vulnerabilities that arise in implementations of ECC. We study four popular protocols that make use of this type of public-key cryptography: Bitcoin, secure shell (SSH), transport layer security (TLS), and the ...
Joppe W. Bos   +2 more
exaly   +4 more sources
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Elliptic Curve Cryptography Engineering

Proceedings of the IEEE, 2006
In recent years, elliptic curve cryptography (ECC) has gained widespread exposure and acceptance, and has already been included in many security standards. Engineering of ECC is a complex, interdisciplinary research field encompassing such fields as mathematics, computer science, and electrical engineering.
Nicola Mazzocca, L Romano
exaly   +4 more sources

The State of Elliptic Curve Cryptography

Designs, Codes and Cryptography, 2000
This paper surveys the elliptic curve cryptography that is based on the discrete logarithm problem. Compared to their counterparts in groups of integers, elliptic curves usually provide smaller keys and lower computational complexities. The paper gives a brief overview of elliptic curves, discusses the elliptic curve discrete logarithm problem and ...
Neal Koblitz   +2 more
openaire   +1 more source

Elliptic Curve Cryptography

2020
Elliptic curve cryptography is an important class of algorithms. There are currently implementations of elliptic curve being used in digital certificates and for key exchange. This class of algorithms provides robust security but with a substantially smaller key than RSA. In this chapter, we explore the basics of elliptic curve cryptography.
Marius Iulian Mihailescu   +1 more
openaire   +2 more sources

Pairing-Based Cryptography on Elliptic Curves

Mathematics in Computer Science, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Josep M. Miret   +2 more
openaire   +3 more sources

Elliptic curve cryptography in Java

2015 IEEE International Conference on Intelligence and Security Informatics (ISI), 2015
The strength of public key cryptography utilizing Elliptic Curves relies on the difficulty of computing discrete logarithms in a finite field. Other public key cryptographic algorithms, such as RSA, rely on the difficulty of integer factorization.
openaire   +2 more sources

Overview of elliptic curve cryptography

1998
In this article, we look at the elliptic curve cryptography, which is believed to be one of the most promising candidates for the next generation cryptographic tool. The following issues are addressed here; 1. Discrete Logarithm Problem in finite fields 2. Elliptic Curve Discrete Logs 3.
Kiyomichi Araki   +2 more
openaire   +2 more sources

Elliptic Curve Cryptography

2021
In this chapter, we briefly motivate the use of asymmetric cryptography based on ECC systems for applications in resource-constrained devices like flash memory controllers. We review applications and fundamentals of elliptic curve cryptography, the corresponding one-way function, i.e. the so-called PM, as well as associated group laws.
openaire   +2 more sources

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