Algebraic Curves and Cryptography
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TextLanguage: English Series: Fields Institute CommunicationsPublication details: Providence American Mathematical Society 2010Description: iv,133 pISBN: 9780821843116(HB)Subject(s): Algebraic geometry Arithmetic problems. Diophantine geometry | MathematicsSummary: 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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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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