Analysis of implementations of the Scarpi method for calculating high orders Hadamard matrices of symmetric structures

Abstract

An analysis of three modifications of the Scarpi method is given in order to assess their applicability to calculating Hadamard matrices of high orders with structural symmetries. Descriptions of modifications are presented, the results of Hadamard matrix calculation are demonstrated, confirming the conclusion about the significance of the Balonin-Seberry modification. The computational experiment shows that there are no results refuting the existence of matrices symmetric structures calculated by the Balonin-Seberry modification.