Construction of Network Codes, a Grassmannian Approach
Joachim Rosenthal (University of Zuerich, Switzerland)
CECS SEMINAR SERIESDATE: 2011-02-03
TIME: 16:00:00 - 17:00:00
LOCATION: RSISE Seminar Room, ground floor, building 115, cnr. North and Daley Roads, ANU
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ABSTRACT:
A novel framework for random network coding has been introduced by Koetter and Kschischang. In this framework information is encoded in subspaces of a given ambient space over a finite field. A natural metric is introduced where two subspaces are 'close to each other' as soon as their dimension of intersection is large. This framework poses the challenge to come up with new codes with optimal or near optimal distance and to develop efficient decoding algorithms.
In a first part of the talk we will provide a survey. In a second part of the talk we report on progress constructing spread codes and orbit codes.
BIO:
Joachim Rosenthal is Professor of Applied Mathematics and Co-Director of the Institute of Mathematics at the University of Zuerich. He is also Adjunct Professor at the University of Notre Dame, USA.
He received the Diplom in Mathematics from the University of Basel in 1986 and the Ph.D. in Mathematics from Arizona State University in 1990.
From 1990 until 2006 he has been with the Department of Mathematics at the University of Notre Dame, where he has been last "The Notre Dame Chair in Applied Mathematics" and Concurrent Professor of Electrical Engineering.
In the academic year 1994/1995 he spent a sabbatical year at CWI the Center for Mathematics and Computer Science in Amsterdam, The Netherlands. During the academic year 1999/2000 he was a Guest Professor at the Swiss Federal Institute of Technology in Lausanne, Switzerland, affiliated with the School of Computer & Communication Sciences.
His current research interests are in coding theory and cryptography. He is or has been on the editorial board of Advances in Mathematics of Communications (AMC), Journal of Algebra and Its Applications (JAA), Journal of Mathematical Systems, Estimation, and Control, Linear Algebra and its Applications, Mathematics of Control, Signals, and Systems (MCSS), SIAM Journal on Control and Optimization, Systems and Control Letters. In the past he has been the Chair of several international conferences.
