Elliptic Curves: Number Theory and Cryptography, Second - download pdf or read online

By Lawrence C. Washington

Like its bestselling predecessor, Elliptic Curves: quantity thought and Cryptography, moment Edition develops the idea of elliptic curves to supply a foundation for either quantity theoretic and cryptographic functions. With extra workouts, this variation bargains extra entire assurance of the basic idea, thoughts, and functions of elliptic curves.

New to the second one Edition

  • Chapters on isogenies and hyperelliptic curves
  • A dialogue of different coordinate platforms, comparable to projective, Jacobian, and Edwards coordinates, besides similar computational issues
  • A extra entire therapy of the Weil and Tate–Lichtenbaum pairings
  • Doud’s analytic procedure for computing torsion on elliptic curves over Q
  • An rationalization of ways to accomplish calculations with elliptic curves in different renowned computing device algebra systems
  • Taking a uncomplicated method of elliptic curves, this obtainable booklet prepares readers to take on extra complicated difficulties within the box. It introduces elliptic curves over finite fields early within the textual content, ahead of relocating directly to fascinating functions, akin to cryptography, factoring, and primality checking out. The booklet additionally discusses using elliptic curves in Fermat’s final Theorem. correct summary algebra fabric on crew concept and fields are available within the appendices.

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    Elliptic Curves: Number Theory and Cryptography, Second Edition (Discrete Mathematics and Its Applications) by Lawrence C. Washington


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