Codes Endowed with the Rank Metric
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This seminar is part of the "EBSIS - Event Based Systems in Iasi" Twinning project. This project has received funding from the European Union's Horizon 2020 research and innovation programme under grant agreement No 692178.
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ABSTRACT
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Network coding is a novel research field in the panorama of coding
theory that comes as an answer to the problem of efficient and reliable
transmissions over networks. The typical scenario within network coding
consists of one source of information that attempts to transmit certain
messages to several receivers via a network of intermediate nodes.

Rank-metric codes play a crucial role in the context of network
transmissions, as they allow to correct errors and erasures that may
occur at the intermediate nodes of the network.

In my talk I will discuss the most important properties of codes endowed
with the rank-metric, and present the algebraic parameters that describe
their performance in the context of network transmissions (e.g. the
minimum rank distance and the rank distribution). I will then introduce
quasi-MRD rank-metric codes, and present some new results on their rank
distribution.
          
SPEAKER(S)
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Alberto RAVAGNANI
University of Neuchatel
Elvetia
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Alberto Ravagnani was born in Verona, Italy, in 1988. 
He received the BSc and MSc degree in Mathematics 
from the University of Trento (Italy) in 2010 and 2012 respectively. 
He is currently doctoral student in Mathematics at 
the University of Neuchatel, Switzerland. 
The research interests of Alberto Ravagnani are in 
Coding Theory (Network Coding in particular). 
Since 2013 he is Member of the Society of Industrial 
and Applied Mathematics (SIAM).
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