@inbook{cab66f4ec9bc44d6a99e0b6935538d1c,
title = "Arithmetic of elliptic curves",
abstract = "Elliptic curves constitute one of the main topics of this book. They have been proposed for applications in cryptography due to their fast group law and because so far no subexponential attack on their discrete logarithm problem (cf. Section 1.5) is known. We deal with security issues in later chapters and concentrate on the group arithmetic here. In an actual implementation this needs to be built on an efficient implementation of finite field arithmetic (cf. Chapter 11).",
keywords = "elliptic curves, efficient implementation, odd characteristics, even characteristics",
author = "Christophe Doche and Tanja Lange",
year = "2006",
language = "English",
isbn = "9781584885184",
series = "Discrete mathematics and its applications",
publisher = "CRC Press, Taylor & Francis Group",
pages = "267--302",
booktitle = "Handbook of elliptic and hyperelliptic curve cryptography",
address = "United States",
}