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Wednesday, September 7, 2011

Math 499: Introduction to Graduate Mathematics
4:00 pm   in 245 Altgeld Hall,  Wednesday, September 7, 2011
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Submitted by seminar.
 Iwan Duursma (Department of Mathematics, University of Illinois)Mathematics for coding theory and cryptographyAbstract: The best known applications of coding theory and cryptography are reliable data transmission and the encryption of sensitive information. Both areas have expanded well beyond these traditional applications and in todays environment they provide a wide range of crucial services that rely heavily on mathematics and theoretical computer science. In todays talk we focus on secure computation and outline that while the basic protocols can be formulated in terms of elementary linear algebra a careful analysis of the main properties requires the use of matroids (as in the fall course Math 583) and the best large scale protocols require the use of algebraic functions (as in the spring course Math 530).