ON THE CONSTRUCTION OF HADAMARD MATRICES (Algebraic Combinatorics)
Rowena T. Baylon · Kyoto University Research Information Repository (Kyoto University) · 2004
This paper constructs Hadamard matrices of order $4n$ .Given the first 4 rows aixd columns of a Hadamard matrix of order $4n$ , we study its $(n-1)\mathrm{x}(n -1)$ blodc matrix properties.Since the incidence matrices of symmetric 2-designs do not violate the obtained properties, we use them in the construction.We obtained the total number of Hadamard matrix construction structures by only using incidence matrices of symmetric % designs.Furthermore, at most 4 different incidence matrices with their corresponding complements can have a Hadam ard matrix structure.Other than this number is not possible.