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The Sum-Product Algorithm for Degree-2 Check Nodes and Trapping Sets

Information Theory 2014-11-11 v1 math.IT

Abstract

The sum-product algorithm for decoding of binary codes is analyzed for bipartite graphs in which the check nodes all have degree 22. The algorithm simplifies dramatically and may be expressed using linear algebra. Exact results about the convergence of the algorithm are derived and applied to trapping sets.

Keywords

Cite

@article{arxiv.1411.2169,
  title  = {The Sum-Product Algorithm for Degree-2 Check Nodes and Trapping Sets},
  author = {John O. Brevik and Michael E. O'Sullivan},
  journal= {arXiv preprint arXiv:1411.2169},
  year   = {2014}
}

Comments

Unpublished, 26 pages

R2 v1 2026-06-22T06:52:25.088Z