1 research outputs found
Non-Binary LDPC Erasure Codes with Separated Low-Degree Variable Nodes
The code design of non-binary low-density parity-check
codes for the erasure channel, under maximum a posteriori
decoding, is addressed. In particular, a partially-structured ensemble of codes, characterized by a careful control of the amount and of the connectivity of the variable nodes of small degrees, is proposed. The identified ensemble of codes is analyzed in terms of asymptotic thresholds and weight distribution and it is shown that codes from the ensemble provide a remarkable trade-off between waterfall performance, error floor, and decoding complexity. As an example, the performance curve of a short (256, 128) code
on the memoryless 16-ary erasure channel tightly proaches
the Singleton bound at least down to a codeword error rate of 10−9, at low decoding complexity