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Contact:
Marcus Greferath
School of Math. Sciences
University College Dublin
Belfield, Dublin 4, Ireland
Phone:
+353-1-716-2588 (UCD)
+353-85-153-0951 (mobile)
Joachim Rosenthal
Institut of Mathematics
University of Zurich
Winterthurerstrasse 190
8057 Zurich, Switzerland
Phone:
+41-44-63 55884 (office)
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ITW 2010 Dublin
IEEE Information Theory Workshop
Dublin, August 30 - September 3, 2010
Algebraic codes and sequences
Thu 02 Sep, 09.55-12.45, Room 1
Invited session
Organizer: Patrick Solé
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Jean-Claude Belfiore and Patrick Solé
Unimodular Lattices for the Gaussian Wiretap Channel
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Abstract:
In [Belfiore/Oggier, 2010] the authors introduced a lattice invariant called
"Secrecy Gain" which measures the confusion experienced by a
passive eavesdropper on the Gaussian Wiretap Channel. We study,
here, the behavior of this invariant for unimodular lattices by
using tools from Modular Forms and show that, for some families of
unimodular lattices, indexed by the dimension, the secrecy gain
exponentially goes to infinity with the dimension.
Thu 02 Sep, 09.55-10.20, Room 1
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Marcus Greferath and Alexandr Nechaev
Generalized Frobenius Extensions of Finite Rings and Trace Functions
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Abstract:
We present a notion of generalized Frobenius extension for finite
rings, and study related trace functions. Then we show
applications of such extensions for algebraic coding theory.
Thu 02 Sep, 10.20-10.45, Room 1
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Jon-Lark Kim
Self-dual codes and their applications
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Thu 02 Sep, 10.45-11.10, Room 1
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Konstantinos Drakakis, Francesco Iorio, and Scott Rickard
The enumeration of Costas arrays of order 28
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Abstract:
We present the results of the enumeration of Costas arrays of order
28: all arrays found are accounted for by the Golomb and Welch
construction methods, making 28 the first order (larger than 5) for
which no sporadic Costas arrays exist. The enumeration was performed
on several computer clusters and required the equivalent of 70 years
of single CPU time.
Thu 02 Sep, 11.30-11.55, Room 1
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Alfred Wassermann
Strenghtening the upper bounds on linear codes with lattice point enumeration
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Thu 02 Sep, 11.55-12.20, Room 1
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Wolfgang Willems
On isometries of Convolutional codes
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Thu 02 Sep, 12.20-12.45, Room 1
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