Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8895628 | Finite Fields and Their Applications | 2018 | 26 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Eimear Byrne,