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Elliptic Curves

Lawrence C. Washington
€248.00
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advanced elliptic curve applications
Algebraic Closure
algebraic geometry methods
Algebraic Integer
Author_Lawrence C. Washington
Category=PB
chinese
Chinese Remainder Theorem
complex multiplication theory
computational group theory
cryptography
Curve Y2
digital signature
discrete
Discrete Log
Discrete Logarithm Problem
Divisor Class
ECIES
EIGamal
Elliptic Curve
Elliptic Curve Method
Elliptic Curve Y2
Elliptic Curves
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
finite field arithmetic
Galois Theory
hasse's
Hasse's Theorem
Hasse’s Theorem
Hyperelliptic Curves
Index Calculus
Lawrence C. Washington
Local Complete Intersections
logarithm
Mod 12
Multiplicative Group
number theory
Odd Prime
pairing
primality testing algorithms
primitive
Primitive Nth Root
Principal Divisors
problem
projective coordinate systems
Quaternion Algebras
Random Integer
remainder
Tate-Lichtenbaum pairing
theorem
Torsion Points
weil
Weil Pairing

Product details

  • ISBN 9781420071467
  • Weight: 1140g
  • Dimensions: 156 x 234mm
  • Publication Date: 03 Apr 2008
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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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.

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