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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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