Petra Reberšek (2014) Hadamard matrices and its applications in error correcting codes. EngD thesis.
Abstract
In this work we describe construction of Hadamard matrices and use of this matrices in practice. We start with basic algebraic structures (groups, cyclic groups, commutative fields), we continue with definition of Hadamard matrices and examples of construction of Hadamard matrices (Sylvester and Paley). We finish with basic description of error correcting codes and use of Hadamard matrices in encoding and decoding.
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