Elliptic Curves: Number Theory and Cryptography, Second by Lawrence C. Washington

By Lawrence C. Washington

Like its bestselling predecessor, Elliptic Curves: quantity idea and Cryptography, moment Edition develops the idea of elliptic curves to supply a foundation for either quantity theoretic and cryptographic purposes. With extra workouts, this version bargains extra finished insurance of the basic concept, thoughts, and purposes of elliptic curves.

New to the second one Edition

  • Chapters on isogenies and hyperelliptic curves
  • A dialogue of different coordinate platforms, reminiscent of projective, Jacobian, and Edwards coordinates, in addition to similar computational issues
  • A extra whole therapy of the Weil and Tate–Lichtenbaum pairings
  • Doud’s analytic strategy for computing torsion on elliptic curves over Q
  • An clarification of the way to accomplish calculations with elliptic curves in numerous well known computing device algebra systems
  • Taking a uncomplicated method of elliptic curves, this obtainable publication prepares readers to take on extra complex difficulties within the box. It introduces elliptic curves over finite fields early within the textual content, ahead of relocating directly to attention-grabbing purposes, corresponding to cryptography, factoring, and primality checking out. The ebook additionally discusses using elliptic curves in Fermat’s final Theorem. correct summary algebra fabric on crew conception and fields are available within the appendices.

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