Identifying Complex Hadamard Submatrices of the Fourier Matrices via Primitive Sets

28 Sep 2019 John E. Herr Troy M. Wiegand

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)

PDF Abstract
No code implementations yet. Submit your code now

Categories


  • RINGS AND ALGEBRAS
  • 15B34, 15B99