Chapter 8Other Important Block Codes
8.1 Introduction
There are a variety of block codes of both historical and practical importance which are used either as building blocks or components of other systems, which we have not yet seen in this book. In this chapter, we introduce some of the most important of these.
8.2 Hadamard Matrices, Codes, and Transforms
8.2.1 Introduction to Hadamard Matrices
A Hadamard matrix of order 
is an 
matrix 
of 
such that
That is, by normalizing 
by 
an orthogonal matrix is obtained. The distinct columns of 
are pairwise orthogonal, as are the rows. Some examples of Hadamard matrices are:
The operation of computing , where is a row vector of length ...
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