Weight distribution of non-binary LDPC codes
Kenta Kasai, Charly Poulliat, David Declercq, Tomoharu Shibuya, Kohichi Sakaniwa · 2008
Weight distributions of binary low-density parity-check (LDPC) codes are well studied. We investigate the average distributions of symbol and binary weight for non-binary LDPC code ensemble. We derive the asymptotic growth rate and its linear approximation for small weight. Moreover, we show the typical minimum distance does not monotonically increase with the size of the field where the codes are defined.