19 citations · 61 across the 22 of their papers we have counts for
5 papers · 1 filter
Non-separable matrix builders for signal processing, quantum information and MIMO applications
Ted Hurley, Barry Hurley
Matrices are built and designed by applying procedures from lower order matrices. Matrix tensor products, direct sums or multiplication of matrices are such procedures and a matrix…
Unique builders for classes of matrices
Ted Hurley
Basic matrices are defined which provide unique building blocks for the class of normal matrices which include the classes of unitary and Hermitian matrices. Unique builders for qu…
Convolutional codes from unit schemes
Ted Hurley
Convolutional codes are constructed, designed and analysed using row and/or block structures of unit algebraic schemes. Infinite series of such codes and of codes with specific pro…
The Hadamard circulant conjecture
Barry Hurley, Paul Hurley, Ted Hurley
It is shown that if is a circulant Hadamard $4n\ti 4n $ then . This proves the Hadamard circulant conjecture.
Algebraic constructions of LDPC codes with no short cycles
Ted Hurley, Paul McEvoy, Jakub Wenus
An algebraic group ring method for constructing codes with no short cycles in the check matrix is derived. It is shown that the matrix of a group ring element has no short cycles i…