Elliptic Curves: Number Theory and Cryptography, Second Edition

Elliptic Curves: Number Theory and Cryptography, Second Edition
ISBN-10
1420071475
ISBN-13
9781420071474
Category
Computers
Pages
536
Language
English
Published
2008-04-03
Publisher
CRC Press
Author
Lawrence C. Washington

Description

Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. With additional exercises, this edition offers more comprehensive coverage of the fundamental theory, techniques, and applications of elliptic curves. New to the Second Edition Chapters on isogenies and hyperelliptic curves A discussion of alternative coordinate systems, such as projective, Jacobian, and Edwards coordinates, along with related computational issues A more complete treatment of the Weil and Tate–Lichtenbaum pairings Doud’s analytic method for computing torsion on elliptic curves over Q An explanation of how to perform calculations with elliptic curves in several popular computer algebra systems Taking a basic approach to elliptic curves, this accessible book prepares readers to tackle more advanced problems in the field. It introduces elliptic curves over finite fields early in the text, before moving on to interesting applications, such as cryptography, factoring, and primality testing. The book also discusses the use of elliptic curves in Fermat’s Last Theorem. Relevant abstract algebra material on group theory and fields can be found in the appendices.

Other editions

Similar books

  • Family History Digital Libraries
    By William Sims Bainbridge

    One named Sara and Timberlake had 11 male workers, 1 female worker, and 4 children workers, so it might have employed the Minor family.

  • Foundation Dreamweaver MX
    By Craig Grannell, Jerome Turner, Matt Stephens

    So here's what we need to do to arrive at our layout: s Create the main table to hold all the page elements. s Deal with the navigation area which is ...

  • Cisco CCNA Certification, 2 Volume Set: Exam 200-301
    By Todd Lammle

    This inclusive, two-book set provides what you need to know to succeed on the new CCNA exam. The set includes Understanding Cisco Networking Technologies: Volume 1 and the CCNA Certification Study Guide: Volume 2.

  • CompTIA Network+ Study Guide: Exam N10-006
    By Todd Lammle

    ... you can use: –a –A –c –n –r –R –S –s All nbtstat switches are case sensitive. Generally speaking, lowercase switches deal with NetBIOS names of hosts, ...

  • CompTIA Network+ Study Guide with Online Labs: N10-007 Exam
    By Todd Lammle, Jon Buhagiar

    ... you can use: –a –A –c –n –r –R –S –s All nbtstat switches are case sensitive. Generally speaking, lowercase switches deal with NetBIOS names of hosts, ...

  • CCNA: Cisco Certified Network Associate FastPass
    By Todd Lammle

    S The S reference point defines the point between the customer router and an ... with the letter E deal with using ISDN on the existing telephone network.

  • Stranger in the Chat Room
    By Todd Hafer, Jedd Hafer

    A sequel to In the Chat Room With God finds a group of teens contacted by a mysterious and increasingly malevolent character who claims to know about their encounters with the Almighty and challenges their beliefs. Original.

  • Error Correction Coding: Mathematical Methods and Algorithms
    By Todd K. Moon

    M M−1∑ k=0 −∞ ∞ k=0 The average energy per signal E s ∫ can be related to the ... we will deal primarily with additive white Gaussian noise (AWGN), ...

  • Security+ Training Guide
    By Todd King

    ... to deal with most , but unfortunately not all , of these potential threats . ... The S / MIME standard implements encryption for message content using ...

  • CCDA: Cisco Certified Design Associate Study Guide: Exam 640-861
    By Todd Lammle, Andy Barkl

    S reference point The S reference point defines the reference point between ... with the letter E deal with using ISDN on the existing telephone network.