Math-Sci Seminar

Speaker: Dr. Cem Güneri, Faculty of Engineering and Natural Sciences, Sabancı University, Istanbul

Title:  Curves over Finite Fields and Codes

Date: Thu 7 Dec, 2006
Time: 16:45
Place: Science Building, Room Z42


Abstract:
The aim of the talk is to present two applications of curves 
over finite fields to coding theory and to survey some mathematical 
developments they led to over the past 25 years. The first application 
is a code construction due to Goppa using Riemann-Roch spaces of 
divisors on curves. The second application involves an important class 
of codes called cyclic codes. Namely, weights in cyclic codes are 
related to the number of rational points of certain family of curves via 
Hilbert's Theorem 90. Recently, the speaker and F. Özbudak were able to 
find a general minimum distance bound for cyclic codes using this 
relation. If time permits, we will also describe this result.


Please visit http://home.ku.edu.tr/~sci-math for a schedule of
upcoming Science -Math seminars at Koc University.