Defence of dissertation in the field of mathematics, Ferdinand Blomqvist, MSc. (Tech.)

On Decoding Problems, Lattices and Generalized Concatenated Codes

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The title of the dissertation is "On Decoding Problems, Lattices and Generalized Concatenated Codes"

Reliable and efficient information transfer is one of the building blocks of today’s interconnected society. With more devices connected every day, the importance of reliable communication is constantly growing. Wireless networks are used everywhere and they are evolving at a rapid pace. The remarkable innovation and improvement in performance we have seen during the last decades is obviously a result of technological advances in many fields. However, none of this would be possible without information theory, and more specifically, coding theory.

One of the problems that coding theory deals with is: how can we achieve reliable and efficient communication over an unreliable channel. The answer is so-called error-correcting codes. In this thesis we study different types of error-correcting codes and so-called decoding algorithms for these codes. We improve known decoding algorithms for several classes of codes. This is important work, since there are many known good classes of error-correcting codes that cannot be used in practical applications due to impractical and/or slow decoding algorithms.

Opponent: Professor Christine Kelley, University of Nebraska-Lincoln, USA.

Custos: Professor Camilla Hollanti, Aalto University School of Science, Department of Mathematics and Systems Analysis. 

Thesis advisor: Professor Marcus Greferath, University College Dublin, Republic of Ireland.

Contact information: Ferdinand Blomqvist, Department of Mathematics and Systems Analysis, +358503631532, [email protected]

Electronic dissertation The dissertation is publicly displayed 10 days before the defence:

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