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Book Synopsis
Focusing on the theme of point counting and explicit arithmetic on the Jacobians of curves over finite fields the topics covered in this volume include Schoof's $\ell$-adic point counting algorithm, the $p$-adic algorithms of Kedlaya and Denef-Vercauteren, explicit arithmetic on the Jacobians of $C_{ab}$ curves and zeta functions.

Algebraic Curves and Cryptography

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    A Hardback by V. Kumar Murty

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      Book details

      Publisher American Mathematical Society
      Published 12/30/2010 12:00:00 AM
      ISBN-13 9780821843116
      978-0821843116
      ISBN-10 0821843117

      Description

      Book Synopsis
      Focusing on the theme of point counting and explicit arithmetic on the Jacobians of curves over finite fields the topics covered in this volume include Schoof's $\ell$-adic point counting algorithm, the $p$-adic algorithms of Kedlaya and Denef-Vercauteren, explicit arithmetic on the Jacobians of $C_{ab}$ curves and zeta functions.

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