Arithmetic, Geometry, Cryptography and Coding Theory
About this Title
Alp Bassa, Bogazici University, Istanbul, Bebek, Turkey, Alain Couvreur, Ecole Polytechnique, Palaiseau, France and David Kohel, Aix-Marseille Université, Marseille, France, Editors
Publication: Contemporary Mathematics
Publication Year: 2017; Volume 686
ISBNs: 978-1-4704-2810-5 (print); 978-1-4704-3745-9 (online)
This volume contains the proceedings of the 15th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory (AGCT), held at the Centre International de Rencontres Mathématiques in Marseille, France, from May 18–22, 2015.
Since the first meeting almost 30 years ago, the biennial AGCT meetings have been one of the main events bringing together researchers interested in explicit aspects of arithmetic geometry and applications to coding theory and cryptography. This volume contains original research articles reflecting recent developments in the field.
Graduate students and research mathematicians interested in arithmetic of varieties over finite fields, applications of arithmetic geometry, and number theory to coding theory and cryptography.
Table of Contents
- Nurdagül Anbar, Peter Beelen and Nhut Nguyen – The exact limit of some cubic towers
- Stéphanie Dib and François Rodier – Error-correction capability of Reed-Muller codes
- Yves Aubry and Annamaria Iezzi – Optimal and maximal singular curves
- Eric Férard – A infinite class of Kasami functions that are not APN infinitely often
- Reynald Lercier and Marc Olive – Covariant algebra of the binary nonic and the binary decimic
- Stéphane Ballet, Julia Pieltant, Matthieu Rambaud and Jeroen Sijsling – On some bounds for symmetric tensor rank of multiplication in finite fields
- Safia Haloui – Codes from Jacobian surfaces
- Enric Nart and Christophe Ritzenthaler – A new proof of a Thomae-like formulafor non hyperelliptic genus 3 curves
- Mrinmoy Datta and Sudhir R. Ghorpade – Remarks on the Tsfasman-Boguslavsky Conjecture and higher weights of projective Reed-Muller codes
- Johan P. Hansen – Secret sharing schemes with strong multiplication and a large number of players from toric varieties
- Vanessa Vitse – Field extensions and index calculus on algebraic curves