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arXiv · 1611.09616

Induced Weights on Quotient Modules and an Application to Error Correction in Coherent Networks

Eimear Byrne
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Abstract

We consider distance functions on a quotient module $M/K$ induced by distance functions on a module $M$. We define error-correction for codes in $M/K$ 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.

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Eimear Byrne. 2016-11-29. Induced Weights on Quotient Modules and an Application to Error Correction in Coherent Networks. https://arxiv.org/abs/1611.09616

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