English

Multilevel expander codes

Information Theory 2007-07-16 v1 math.IT

Abstract

We define multilevel codes on bipartite graphs that have properties analogous to multilevel serial concatenations. A decoding algorithm is described that corrects a proportion of errors equal to half the Blokh-Zyablov bound on the minimum distance. The error probability of this algorithm has exponent similar to that of serially concatenated multilevel codes.

Keywords

Cite

@article{arxiv.cs/0502079,
  title  = {Multilevel expander codes},
  author = {Alexander Barg and Gilles Zemor},
  journal= {arXiv preprint arXiv:cs/0502079},
  year   = {2007}
}