English

On the Multiple Threshold Decoding of LDPC codes over GF(q)

Information Theory 2015-02-25 v1 math.IT

Abstract

We consider the decoding of LDPC codes over GF(q) with the low-complexity majority algorithm from [1]. A modification of this algorithm with multiple thresholds is suggested. A lower estimate on the decoding radius realized by the new algorithm is derived. The estimate is shown to be better than the estimate for a single threshold majority decoder. At the same time the transition to multiple thresholds does not affect the order of complexity.

Keywords

Cite

@article{arxiv.1502.06871,
  title  = {On the Multiple Threshold Decoding of LDPC codes over GF(q)},
  author = {Alexey Frolov and Victor Zyablov},
  journal= {arXiv preprint arXiv:1502.06871},
  year   = {2015}
}

Comments

5 pages, submitted to ISIT 2015

R2 v1 2026-06-22T08:36:45.678Z