Codes Generated by Matrix Expansions
Chris Meyer · ScholarWorks - MoreheadState (Morehead State University) · 2007
A new class of error-correcting codes is created from a matrix operation defined within.The matrix operation takes a point-block incidence and produces a new point-block incidence with some desirable properties, including a doubling of the girth of the Tanner graph of the initial matrix.A specific example is created using P G(2, q), and the results are generalized to any point-block incidence structure.These codes are analyzed mathematically and through simulation via belief propagation decoding.