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Computer Security Read chapter Read first chapter

2018 | OriginalPaper | Chapter

16. Secure Elliptic Curves in Cryptography

Authors : Victor Gayoso Martínez, Lorena González-Manzano, Agustín Martín Muñoz

Published in: Computer and Network Security Essentials

Publisher: Springer International Publishing

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Abstract

Elliptic Curve Cryptography (ECC) is a branch of public-key cryptography based on the arithmetic of elliptic curves. In the short life of ECC, most standards have proposed curves defined over prime finite fields using the short Weierstrass form. However, some researchers have started to propose as a more secure alternative the use of Edwards and Montgomery elliptic curves, which could have an impact in current ECC deployments. This chapter presents the different types of elliptic curves used in Cryptography together with the best-known procedure for generating secure elliptic curves, Brainpool. The contribution is completed with the examination of the latest proposals regarding secure elliptic curves analyzed by the SafeCurves initiative.

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Metadata
Title
Secure Elliptic Curves in Cryptography
Authors
Victor Gayoso Martínez
Lorena González-Manzano
Agustín Martín Muñoz
Copyright Year
2018
Book
Computer and Network Security Essentials

Print ISBN: 978-3-319-58423-2

Electronic ISBN: 978-3-319-58424-9

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-58424-9_16