This paper deals with symbol-pair error channels. First, we generalize the channels to symbol-tuple error channels whose read length is D. Then, we derive a message passing algorithm for decoding LDPC codes over the generalized channels. Furthermore, we investigate the Hamming distance distributions of LDPC codes in terms of D symbol-tuple metric.
['Kenta Kasai', 'Masanori Hirotomo', 'Masakatu Morii']
LDPC codes and iterative decoding over symbol-tuple error channels