Drawing on the authors' use of the Hadamard-related theory in
several successful engineering projects, Theory and Applications of
Higher-Dimensional Hadamard Matrices, Second Edition explores the
applications and dimensions of Hadamard matrices. This edition
contains a new section on the applications of higher-dimensional
Hadamard matrices to the areas of telecommunications and
information security.
The first part of the book presents fast algorithms, updated
constructions, existence results, and generalized forms for Walsh
and Hadamard matrices. The second section smoothly transitions from
two-dimensional cases to three-, four-, and six-dimensional Walsh
and Hadamard matrices and transforms. In the third part, the
authors discuss how the n-dimensional Hadamard matrices of order 2
are applied to feed-forward networking, stream ciphers, bent
functions, and error correcting codes. They also cover the Boolean
approach of Hadamard matrices. The final part provides examples of
applications of Hadamard-related ideas to the design and analysis
of one-dimensional sequences and two-dimensional arrays.
The theory and ideas of Hadamard matrices can be used in many
areas of communications and information security. Through the
research problems found in this book, readers can further explore
the fascinating issues and applications of the theory of
higher-dimensional Hadamard matrices.
General
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