MathsNet: Research Student Directory

Name Brown, Christian J
Group Algebra and Analysis
Room C17, Math Sci
Telephone +44 (0) 115 84 66717 [direct dial]
Thesis Title Petit Algebras and their Automorphisms
Thesis Abstract Space-time block codes are used for reliable high rate transmission over wireless digital channels with multiple antennas at both the transmitter and receiver ends. From the mathematical point of view, a space-time block code is a set of complex n times m matrices, the codebook, that satisfies a number of properties which determine how well the code performs. Recently, several different constructions of nonassociative algebras appeared in the literature on fast decodable space-time block codes. The aim of the thesis is to investigate generalizations of these nonassociative algebras, with a view towards their potential for developing fast decodable codes, but also in order to find new constructions for division algebras over certain base fields.
School contact information School of Mathematical Sciences
University of Nottingham
University Park
Nottingham, NG7 2RD
Tel: +44 (0) 115 951 4949
Fax: +44 (0) 115 951 4951