Fwd: [math] [Fwd: [tmd-uye:159] Workshop on Applications of Finite Fields at Sabanci University (2 June 2010)]

[D.Pelin Sakin]

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Kimden: Ali Nesin <ane...@nesinvakfi.org>
Tarih: 27 Mayıs 2010 12:55
Konu: [math] [Fwd: [tmd-uye:159] Workshop on Applications of Finite Fields at Sabanci University (2 June 2010)]
Kime: "ma...@math.bilgi.edu.tr" <ma...@math.bilgi.edu.tr>




-------- Original Message --------
Subject:        [tmd-uye:159] Workshop on Applications of Finite Fields at Sabanci University (2 June 2010)
Resent-Date:    Thu, 27 May 2010 10:57:37 +0300 (EEST)
Resent-From:    <ane...@bilgi.edu.tr>
Date:   Thu, 27 May 2010 10:57:12 +0300
From:   Cem Güneri <gun...@sabanciuniv.edu>
Reply-To:       <tmd...@yunus.listweb.bilkent.edu.tr>
To:     <tmd...@yunus.listweb.bilkent.edu.tr>



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.

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