Identifying Complex Hadamard Submatrices of the Fourier Matrices via Primitive Sets

10 Jan 2020 Herr John E. Wiegand Troy M.

For a given selection of rows and columns from a Fourier matrix, we give a number of tests for whether the resulting submatrix is Hadamard based on the primitive sets of those rows and columns. In particular, we demonstrate that whether a given selection of rows and columns of a Fourier matrix forms a Hadamard submatrix is exactly determined by whether the primitive sets of those rows and columns are compatible with respect to the size of the Fourier matrix... (read more)

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  • RINGS AND ALGEBRAS