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

A. Sergeev
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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.
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计算对称结构高阶Hadamard矩阵的Scarpi方法实现分析
分析了Scarpi法的三种修正,以评价其在计算具有结构对称性的高阶Hadamard矩阵时的适用性。给出了修饰的描述,并对Hadamard矩阵的计算结果进行了验证,证实了Balonin-Seberry修饰的重要性。计算实验表明,并没有否定Balonin-Seberry修正计算的矩阵对称结构存在性的结果。
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