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Advances in Mathematics of Communications (AMC)
 

Volume 4,Number 2,     May 2010

A special issue
CHiLE 2009

1

Editorial   Pages : i - ii

Program Committee

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2

Local-global aspects of (hyper)elliptic curves over (in)finite fields   Pages : 101 - 114

Joseph H. Silverman

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3

Optimization of the arithmetic of the ideal class group for genus 4 hyperelliptic curves over projective coordinates   Pages : 115 - 139

Rodrigo Abarzúa,  Nicolas Thériault,  Roberto Avanzi,  Ismael Soto and Miguel Alfaro

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4

Improvements in the computation of ideal class groups of imaginary quadratic number fields   Pages : 141 - 154

Jean-François Biasse

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5

Explicit 2-power torsion of genus 2 curves over finite fields   Pages : 155 - 168

Josep M. Miret,  Jordi Pujolàs and Anna Rio

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6

Efficient implementation of elliptic curve cryptography in wireless sensors   Pages : 169 - 187

Diego F. Aranha,  Ricardo Dahab,  Julio López and Leonardo B. Oliveira

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7

A filtering method for the hyperelliptic curve index calculus and its analysis   Pages : 189 - 213

Roberto Avanzi and Nicolas Thériault

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8

Constructing public-key cryptographic schemes based on class group action on a set of isogenous elliptic curves   Pages : 215 - 235

Anton Stolbunov

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9

Fast ideal cubing in imaginary quadratic number and function fields   Pages : 237 - 260

Laurent Imbert,  Michael J. Jacobson, Jr. and Arthur Schmidt

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10

Efficient reduction of large divisors on hyperelliptic curves   Pages : 261 - 279

Roberto Avanzi,  Michael J. Jacobson, Jr. and Renate Scheidler

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11

Relations between arithmetic geometry and public key cryptography   Pages : 281 - 305

Gerhard Frey

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