Combinatorial geometry and finite fields constitute a vibrant area of research that bridges classical geometric intuition with discrete algebraic structures. This interdisciplinary field examines the ...

Abstract: The trapping set structure of LDPC codes constructed based on finite geometries, called finite geometry (FG) LDPC codes, is analyzed using a geometric approach. In this approach, trapping ...

Abstract: The finite Euclidean and Projective geometry codes are the most known among One-Step Majority-Logic Decodable codes that are Low-Density Parity-Check codes as well. Unfortunately, these ...

Novel analysis of finite dimensional Hilbert space is outlined. The approach bypasses general, inherent, difficulties present in handling angular variables in finite dimensional problems: The finite ...

A geometrical nonlinearity occurs when the initial and deformed configurations of a solid become significantly different. In this case, the structural response is no longer proportional to the applied ...