[Turkmath:7068] Workshop on Applications of Finite Fields at Sabanci University (2 June 2010)

[Cem Güneri]

Degerli Meslektaslar,

Sabanci Universitesi'nin Karakoy'deki Binasi'nda 2 Haziran Carsamba gunu 
duzenlenecek toplantiyla ilgili bilgileri asagida bulabilirsiniz.

Saygilarimla,

Cem Guneri

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Dear Colleagues,

Please find below the information about an upcoming workshop which will 
be held at the Karakoy Building of Sabanci University on Wednesday, 2 
June 2010.

Sincerely,

Cem Guneri

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WORKSHOP ON APPLICATIONS OF FINITE FIELDS*
Wednesday, 2 June 2010, 14:00-16:30
Sabanci University Karakoy Communication Center (see the link 
<http://www.sabanciuniv.edu/tr/?kampus_hayati/hizmet_ve_olanaklar/karakoy_iletisim_merkezi_adres_ve_ulasim_krokisi.html> 
for address and map)

Program
14:00-14:50: Tom Hoholdt (Technical University of Denmark), "On the 
decoding of Reed-Solomon codes"
14:50-15:10: Coffee break
15:10-16:00: Gary McGuire (University College Dublin), "Introduction to 
the nonlinearity and Fourier transform of functions on finite fields"
16:00-16:30: Discussion


Tom Hoholdt (Technical University of Denmark), "On the decoding of 
Reed-Solomon codes"
Abstract: On January 21, 1959, Irving Reed and Gus Solomon submitted a 
paper to the Journal of the Society for Industrial and Applied 
Mathematics. In June of 1960 the paper was published: five pages with 
the title "Polynomial Codes over Certain Finite Fields". This paper 
decribed a new class of error-correcting codes that are now called 
Reed-Solomon codes. Since then these codes have enjoyed countless 
applications, from compact discs and DVD's in living rooms all over the 
planet to the spacecrafts that are now well beyond the orbit of Pluto. 
In this talk we describe a construction of Reed-Solomon codes and survey 
some of the recent developments in the (list-) decoding of this 
important class of codes.


Gary McGuire (University College Dublin), "Introduction to the 
nonlinearity and Fourier transform of functions on finite fields"
Abstract: We will give an introductory talk on the Fourier transform of 
a function on a finite field, and how it provides a measure of the 
nonlinearity of the function. We will explain how the nonlinearity and 
the Fourier spectrum are important in applications to cryptography and 
coding theory. Connections to questions about the number of rational 
points on certain curves over finite fields will be outlined and 
discussed also.


*Visits of T. Hoholdt and G. McGuire are partly supported by Tubitak.