ELLIPTIC CURVES AND THEIR APPLICATIONS TO CRYPTOGRAPHY

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Ouvrage 9780792385899 : ELLIPTIC CURVES AND THEIR APPLICATIONS TO CRYPTOGRAPHY
Since their invention in the late seventies, public
key cryptosystems have become
an indispensable asset in establishing private and
secure electronic communication,
and this need, given the tremendous growth of the
Internet, is likely to continue
growing. Elliptic curve cryptosystems represent the
state of the art for such
systems. Elliptic Curves and Their Applications to
Cryptography: An Introduction
provides a comprehensive and self-contained
introduction to elliptic curves and
how they are employed to secure public key
cryptosystems. Even though the
elegant mathematical theory underlying
cryptosystems is considerably more
involved than for other systems, this text requires
the reader to have only an
elementary knowledge of basic algebra. The text
nevertheless leads to problems at
the forefront of current research, featuring
chapters on point counting algorithms
and security issues. The Adopted unifying approach
treats with equal care elliptic
curves over fields of even characteristic, which
are especially suited for hardware
implementations, and curves over fields of odd
characteristic, which have
traditionally received more attention. Elliptic
Curves and Their Applications: An
Introduction has been used successfully for
teaching advanced undergraduate
courses. It will be of greatest interest to
mathematicians, computer scientists, and
engineers who are curious about elliptic curve
cryptography in practice, without
losing the beauty of the underlying mathematics.
Table of Contents
List of Tables. List of Figures. Foreword.
Preface. 1.
Public Key Cryptography. 2. The Group
Law on Elliptic Curves.
3. Elliptic Curves Over Finite Fields. 4. The
Discrete
Logarithm Problem. 5. Counting Points On Elliptic
Curves.
References. Index


Auteur : ENGE
Editeur : KLUWER
Nombre de pages : 184
Date de publication : 08 1999

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