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Algebraic Curves and Cryptography (Fields Institute Communications)
V. Kumar Murty
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Description for Algebraic Curves and Cryptography (Fields Institute Communications)
Hardcover. 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. Editor(s): Murty, V. Kumar. Series: Fields Institute Communications. Num Pages: 133 pages, Illustrations. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 229 x 152. .
It is by now a well-known paradigm that public-key cryptosystems can be built using finite Abelian groups and that algebraic geometry provides a supply of such groups through Abelian varieties over finite fields. Of special interest are the Abelian varieties that are Jacobians of algebraic curves. All of the articles in this volume are centered on the theme of point counting and explicit arithmetic on the Jacobians of curves over finite fields. The topics covered 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. This ... Read more
It is by now a well-known paradigm that public-key cryptosystems can be built using finite Abelian groups and that algebraic geometry provides a supply of such groups through Abelian varieties over finite fields. Of special interest are the Abelian varieties that are Jacobians of algebraic curves. All of the articles in this volume are centered on the theme of point counting and explicit arithmetic on the Jacobians of curves over finite fields. The topics covered 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. This ... Read more
Product Details
Format
Hardback
Publication date
2010
Publisher
Amer Mathematical Society
Condition
New
Series
Fields Institute Communications
Number of Pages
133
Place of Publication
Providence, United States
ISBN
9780821843116
SKU
V9780821843116
Shipping Time
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Ref
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