Elliptic Curves

Number Theory and Cryptography, Second Edition

Inbunden, Engelska, 2008

Av Lawrence C. Washington, USA) Washington, Lawrence C. (University of Maryland, College Park

3 369 kr

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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 curvesA discussion of alternative coordinate systems, such as projective, Jacobian, and Edwards coordinates, along with related computational issuesA more complete treatment of the Weil and Tate–Lichtenbaum pairingsDoud’s analytic method for computing torsion on elliptic curves over QAn explanation of how to perform calculations with elliptic curves in several popular computer algebra systemsTaking 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.

Produktinformation

  • Utgivningsdatum2008-04-03
  • Mått156 x 234 x 30 mm
  • Vikt1 140 g
  • FormatInbunden
  • SpråkEngelska
  • SerieDiscrete Mathematics and Its Applications
  • Antal sidor532
  • Upplaga2
  • FörlagTaylor & Francis Ltd
  • ISBN9781420071467

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