Generalized weights and bounds for error probability over erasure channels
Information Theory
2014-07-18 v1 math.IT
Abstract
New upper and lower bounds for the error probability over an erasure channel are provided, making use of Wei's generalized weights, hierarchy and spectra. In many situations the upper and lower bounds coincide and this allows improvement of existing bounds. Results concerning MDS and AMDS codes are deduced from those bounds.
Cite
@article{arxiv.1407.4518,
title = {Generalized weights and bounds for error probability over erasure channels},
author = {Leandro Cruvinel Lemes and Marcelo Firer},
journal= {arXiv preprint arXiv:1407.4518},
year = {2014}
}