An Algorithm to find Formulae and Values of Minors for Hadamard Matrices

C. Koukouvinos, National Technical University of Athens, Greece
M. Mitrouli, Department of Mathematics, Greece
J. Seberry, University of Wollongong

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This article was originally published as: Koukouvinos, C, Mitrouli, M & Seberry, J, An Algorithm to find Formulae and Values of Minors for Hadamard Matrices, Linear Algebra and its Applications, 2001, 330(1-3), 129-147. The homepage of Linear Algebra and its Applications can be found here.

Abstract

We give an algorithm to obtain formulae and values for minors of Hadamard matrices. One step in our algorithm allows the (n – j) x (n – j) minors of an Hadamard matrix to be given in terms of the minors of a 2j-1 x 2j-1 matrix. In particular we illustrate our algorithm by finding explicitly all the (n – 4) x (n – 4) minors of an Hadamard matrix.