| The aim of this school is to introduce students to some aspect of
(algorithmic) number theory and arithmetic geometry and the very
fruitful interplay between those subjects and the applied disciplines of
cryptography and coding theory.
This interplay has been very fruitful in the recent and not so
recent past, notable examples being the
construction of cryptosystems using elliptic curves over finite fields
and the construction of codes using algebraic varieties.
Our program consists of four courses on algorithmic number theory,
elliptic curves, algebraic coding theory and isogeny based
cryptography, respectively. These courses will introduce the students to a variety
of tools in number theory and arithmetic geometry as well as their
applications in cryptography and coding theory. Topics will include
class groups of number fields and Buchmann's subexponential
algorithm for computing them, the Mordell-Weil theorem for elliptic
curves over number fields, Reed-Muller code and Goppa code, algorithms
to compute and evaluate isogenies of elliptic curves.
Every course will combine theoretical and practical aspects:
exercises and programming sessions will be held in all four courses,
putting students' proactive learning at the center of this project.
Pictures from the school.
If you need to contact the organizers please write to: cimpaschool2024@gmail.com
For accepted participants: please fill out, unless you have done it already, the following form regarding Travel, food restricitions and T-shirts:
form
The opening and closing ceremony as well as the first lecture will be held in: Lecture Hall 509 (Bulding A, 5th floor)
All other lectures will be held in Lecture Hall 313 (Bulding A, 3rd floor)
Please download the guidebook made by the local organizer. The guidebook provide information about lodging location, school location, how to go from the hotel to the university and general
informations about Ho Chi Minh City.
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