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CIMPA-UNESCO-TÜBITAK
School
Codes over Rings
Themes and Objectives :
From the seminal work of Shannon of 1948 till the end of the 80's the
algebraic framework of the theory of error correcting codes was within the
confines of vector spaces over finite fields. Beginning in the early
nineties a paradigm shift occurred , and modules over finite rings
entered the armory of coding theorists from engineering applications like
low correlation sequences to finite geometry and number theory .
The aim of this school is to present a survey in fundamental areas, and to
host a mini-conference highlighting some recent results.
Organizers :
Marcus Greferath (University College, Dublin), Ferruh Özbudak (METU, Ankara,
Turquie), Patrick Solé (CNRS, Nice, France)
Working languages: English
Date and location :
August 18-29, 2008,
METU Campus, Ankara (Turkey)
Scientific program and lecturers:
We propose the following mini courses
Marcus Greferath/Ivan N. Landgev, Geometries over rings (http://maths.ucd.ie/~gref/)
Tor Helleseth, Codes and sequences over
Z4
(http://www.ii.uib.no/~torh/)
Sergio R. Lopez-Permouth/Jacques Wolfmann, Cyclic Codes over Rings (http://www.math.ohiou.edu/~lopez/)
Alekesandr Nechaev,
1.
Finite rings.
2.
Finite quasi-Frobenius and Frobenius bimodules.
3.
Linear codes over finite modules.
4.
Linear presentations of linear and nonlinear codes.
5.
Polylinear recurrences over modules. Jay Wood, formula and
Frobenius rings (http://homepages.wmich.edu/~jwood/)
Prerequisites :
A background in classical algebraic coding theory is necessary
Deadline for registration :
May
15, 2008
Application procedure
Online registration

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2007-12-17. |