**Contemporary Mathematics**

Volume: 487;
2009;
206 pp;
Softcover

MSC: Primary 11; 14;

Print ISBN: 978-0-8218-4716-9

Product Code: CONM/487

List Price: $73.00

Individual Member Price: $58.40

**Electronic ISBN: 978-0-8218-8166-8
Product Code: CONM/487.E**

List Price: $73.00

Individual Member Price: $58.40

# Arithmetic, Geometry, Cryptography and Coding Theory

Share this page *Edited by *
*Gilles Lachaud; Christophe Ritzenthaler; Michael A. Tsfasman*

This volume contains the proceedings of the 11th conference on
\(\mathrm{AGC^{2}T}\), held
in Marseille, France in November 2007. There are 12 original research
articles covering asymptotic properties of global fields, arithmetic
properties of curves and higher dimensional varieties, and applications to
codes and cryptography. This volume also contains a survey article on
applications of finite fields by J.-P. Serre.

\(\mathrm{AGC^{2}T}\) conferences take place in Marseille,
France every 2 years. These international conferences have been a
major event in the area of applied arithmetic geometry for more than
20 years.

#### Readership

Graduate students and research mathematicians interested in arithmetic geometry and its applications.

# Table of Contents

## Arithmetic, Geometry, Cryptography and Coding Theory

- Contents v7 free
- Preface vii9 free
- On the fourth moment of theta functions at their central point 111 free
- On the construction of Galois towers 919
- Codes defined by forms of degree 2 on quadric varieties in P4(Fq) 2131
- Curves of genus 2 with elliptic differentials and associated Hurwitz spaces 3343
- A note on the Giulietti-Korchmaros maximal curve 8393
- Subclose families, threshold graphs, and the weight hierarchy of Grassmann and Schubert codes 8797
- Characteristic polynomials of automorphisms of hyperelliptic curves 101111
- Breaking the Akiyama-Goto cryptosystem 113123
- Hyperelliptic curves, L-polynomials, and random matrices 119129
- On special finite fields 163173
- Borne sur le degré des polynômes presque parfaitement non-linéaires 169179
- How to use finite fields for problems concerning infinite fields 183193
- On the generalizations of the Brauer-Siegel theorem 195205