**Contemporary Mathematics**

Volume: 521;
2010;
166 pp;
Softcover

MSC: Primary 11; 14;

Print ISBN: 978-0-8218-4955-2

Product Code: CONM/521

List Price: $62.00

Individual Member Price: $49.60

**Electronic ISBN: 978-0-8218-8200-9
Product Code: CONM/521.E**

List Price: $62.00

Individual Member Price: $49.60

# Arithmetic, Geometry, Cryptography and Coding Theory 2009

Share this page *Edited by *
*David Kohel; Robert Rolland*

This volume contains the proceedings of the 12th conference on Arithmetic, Geometry, Cryptography and Coding Theory, held in Marseille, France from March 30 to April 3, 2009, as well as the first Geocrypt conference, held in Pointe-à-Pitre, Guadeloupe from April 27 to May 1, 2009, and the European Science Foundation exploratory workshop on Curves, Coding Theory, and Cryptography, held in Marseille, France from March 25 to 29, 2009.

The articles contained in this volume come from three related symposia organized by the group Arithmétique et Théorie de l'Information in Marseille. The topics cover arithmetic properties of curves and higher dimensional varieties with applications to codes and cryptography.

#### Table of Contents

# Table of Contents

## Arithmetic, Geometry, Cryptography and Coding Theory 2009

- Contents v6 free
- Preface vii8 free
- Differentially 4-Uniform functions 110 free
- Computing Hironaka's invariants: Ridge and directrix 918
- Nondegenerate curves of low genus over small finite fields 2130
- Faster side-channel resistant elliptic curve scalar multiplication 2938
- Non linéarité des fonctions booléennes données par des Polynômes de degré binaire 3 définies sur F2m avec m pair 4150
- A note on a maximal curve 5564
- Computing Humbert surfaces and applications 5968
- Genus 3 curves with many involutions and application to maximal curves in characteristic 2 7180
- Uniqueness of low genus optimal curves over F2 8796
- Group order formulas for reductions of CM elliptic curves 107116
- Families of explicit isogenies of hyperelliptic Jacobians 121130
- Computing congruences of modular forms and Galois representations modulo prime powers 145154

#### Readership

Graduate students and research mathematicians interested in arithmetic, geometry, and applications to coding and cryptography.