A. V. Volgin, G. V. Kryuchkov, “Characterization of linear transformations defined by Finite Field Hadamard Matrices and circulant matrices”, Prikl. Diskr. Mat. Suppl., 2017, Issue 10,Pages <nobr>10

Theoretical Foundations of Applied Discrete Mathematics

Characterization of linear transformations defined by Finite Field Hadamard Matrices and circulant matrices

A. V. Volgin^a, G. V. Kryuchkov^b

^a Moscow Technological University, Moscow
^b TVP Laboratory, Moscow

Abstract: We consider general and cryptographic properties of circulant matrices and Finite Field Hadamard Matrices. We describe invariant subspaces of linear transformations defined by Finite Field Hadamard Matrices and construct a class of invariant subspaces for circulant matrices.

Keywords: invariant subspaces, Finite Field Hadamard Matrices, circulant matrices.

UDC: 512.643.8

DOI: 10.17223/2226308X/10/2