Induced Weights on Quotient Modules and an Application to Error Correction in Coherent Networks
Combinatorics
2017-10-20 v2
Abstract
We consider distance functions on a quotient module induced by distance functions on a module . We define error-correction for codes in with respect to induced distance functions. For the case that the metric is induced by a homogeneous weight, we derive analogues of the Plotkin and Elias-Bassalygo bounds and give their asymptotic versions. These results have applications to coherent network error-correction in the presence of adversarial errors. We outline this connection, extending the linear network coding scheme introduced by Yang et al.
Cite
@article{arxiv.1611.09616,
title = {Induced Weights on Quotient Modules and an Application to Error Correction in Coherent Networks},
author = {Eimear Byrne},
journal= {arXiv preprint arXiv:1611.09616},
year = {2017}
}