where [cross product] is the Hadamard matrix
product and matrix C of type p x p has elements
In addition, the optimal PRVs can be selected by considering the rows of the Hadamard matrix instead of the Sylvester-Hadamard sequences because of periodicity , .
In addition, the PRVs are chosen from the Hadamard matrix of length N because the Hadamard sequences are found to be the optimum choice [9,10,15].
As previously stated, we can use other types of PRVs and not necessarily within Hadamard matrix.
Also, it is shown that if there exists a Hadamard matrix of order 4d, then N((1,1; d), 8d - 2) = 4d and [bc.
An n x n matrix H with entries +1 and -1 is called a Hadamard matrix of order n whenever [HH.
Theorem 13 Let d be a positive integer such that there exists a Hadamard matrix of order 4d, then
The design is focused on binary code, thus the biorthogonal Hadamard matrix (denoted by [sub.
As the most robust choice of code, biorthogonal Hadamard matrix has the maximum [d.
The following results are implemented through biorthogonal Hadamard matrix.
In this graph, the Hadamard matrix
is represented as a cylinder.