Lattice Codes for the Binary Deletion Channel
Information Theory
2014-06-05 v1 math.IT
Abstract
The construction of deletion codes for the Levenshtein metric is reduced to the construction of codes over the integers for the Manhattan metric by run length coding. The latter codes are constructed by expurgation of translates of lattices. These lattices, in turn, are obtained from Construction~A applied to binary codes and codes. A lower bound on the size of our codes for the Manhattan distance are obtained through generalized theta series of the corresponding lattices.
Cite
@article{arxiv.1406.1055,
title = {Lattice Codes for the Binary Deletion Channel},
author = {Lin Sok and Patrick Solé and Aslan Tchamkerten},
journal= {arXiv preprint arXiv:1406.1055},
year = {2014}
}
Comments
2 figs; presented in part in ISIT 2013; submitted to IEEE trans. on Information Theory