S3CM: SORIA SUMMER SCHOOL ON COMPUTATIONAL MATHEMATICS
"ALGEBRAIC CODING THEORY"
Schedule and Courses
You can download the courses timetable and schedule here.You can download the contributed presentations timetable and schedule here.
There will be two independent blocks of lectures. Each participant can choose either one of them or both of them.
Block 1: Gröbner basis and algebraic coding theory.
2nd -5th July
Lecturers:
P.Fitzpatrick (University College Cork),
E.Martínez (Universidad de Valladolid),
G.Pfister (Technische Universität Kaiserslautern), Partially supported by Programa de Movilidad de Profesores en Doctorados con Mención de Calidad, MEC, Spain.
This block is intended as an introductory one, thus only basic topics on Gröbner basis and coding theory
should be known by the students. There will be one lecture series (12 hours) on Gröbner basis applied to
algebraic coding theory. The topics will include a brief introduction to Gröbner basis and algebraic coding,
relations between elimination theory and decoding, the key equation for BCH codes and the ideal associated
to a code. As a complement there will be a practical computer lecture series (8 hours) on the computer
algebra package Singular taught by Gerhard Pfister, member of the Singular team.
Block 2: Algebraic geometry codes.
7th-11th July
Lecturers:
T.Høholdt (Technical University of Denmark), Partially supported by Programa de Movilidad de Profesores en Doctorados con Mención de Calidad, MEC, Spain,
M.E.O'Sullivan (San Diego State University),
R.Pellikaan (Eindhoven University of Technology).
There will be three lecture series (8 hours each) and extensive problem sessions in both the
mathematics of coding theory and applications, and on connections to other areas of mathematics.
The topics will include recent trends in AG codes, evaluation codes and list decoding. Also there
will also be afternoon working sessions where interested postgraduate students can show their work in
progress.