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 +=== Bringing network coding closer to practice ===
  
 +Christina Fragouli, EPFL
 +January 26, 2:00pm. EEB 248
 +
 +
 +**Abstract:​** ​
 +The paradigm of network coding allows intermediate nodes in a network to
 +not only  forward but also combine their incoming information
 +flows. This modern application of coding to the theory and practice of
 +communication ​ networks raises ​ novel and exciting research problems, and
 +is promising to have an impact in diverse areas of network
 +communications that  include multicasting,​ network monitoring,
 +resource sharing, network security, among other areas.
 +
 +However, one of the main challenges is to realize the benefits of network
 +coding ​ functionalities with implementable computational complexity. We
 +illustrate through two examples how algorithmic and combinatorial tools
 +can be applied to make progress on this challenging question.
 +
 +One of the challenges in the deployment of network coding is the fact that
 +network nodes may need to perform operations over relatively large finite
 +fields. We propose instead to use vector network coding,
 +where nodes process and combine binary packets by multiplying them with
 +binary coding matrices, as opposed to scalar coefficients over a field. We
 +introduce an algebraic framework for vector network coding,
 +and provide a polynomial time algorithm for the design of coding matrices,
 +that aims to minimize the size of the employed matrices, and thus reduce
 +the encoding complexity. Our algorithm reduces the problem of finding
 +small size matrices to the problem of finding a small degree coprime
 +factor of an algebraic polynomial, and leads to solutions not possible
 +with using scalar network coding.
 +
 +We then consider a specific application.
 +Our scenario is that a group of wireless nodes want to
 +exchange a secret key, such that no eavesdropper can guess the key. Using
 +network coding techniques, we  develop a protocol that enables the group
 +of nodes to agree on secret bits at a rate depending on the
 +properties of the wireless network that interconnects them.
 +Our protocol uses simple, polynomial-time operations and
 +does not require any changes to the physical or MAC-layer of network
 +devices. We formally prove and experimentally demonstrate that our
 +protocol can generate information-theoretically secret keys in a realistic
 +setting.
 +
 +
 +**Biography:​**
 +
 +Christina Fragouli is a tenure track Professor in the School of Computer
 +and Communication Sciences, EPFL, Switzerland. She received the B.S.
 +degree in Electrical Engineering from the National Technical University of
 +Athens, Athens, Greece, in 1996, and the M.Sc. and Ph.D. degrees in
 +electrical engineering from the University of California, Los Angeles, in
 +1998 and 2000, respectively. She has worked at the Information
 +Sciences Center, AT&T Labs, Florham Park New Jersey, and the National
 +University of Athens. She also visited Bell Laboratories,​ Murray Hill, NJ,
 +and DIMACS, Rutgers University. From 2006 to 2007, she was an FNS
 +Professor in the School of Computer and Communication Sciences, EPFL,
 +Switzerland.
 +
 +Her research interests are in network information flow theory and
 +algorithms, network coding, wireless sensor networks, and connections
 +between communications,​ networking and computer science. She received the
 +Fulbright Fellowship for her graduate studies, the Outstanding Ph.D.
 +Student Award 2000-2001, UCLA, Electrical Engineering Department, the
 +Zonta award 2008 in Switzerland,​ and the Young Investigator ERC grant
 +award in 2009. She served as an editor for IEEE Communications Letters,
 +and is currently serving as an editor for IEEE Transactions on Information
 +Theory, IEEE Transactions on Communications,​ IEEE Transactions on Mobile
 +Computing and Elsevier Computer Communications.
 +
 +Host: Giuseppe Caire, caire [at] usc.edu
 +
 +Back to [[start | CommNetS Seminar Page ]]
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