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- W4298154811 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." @default.
- W4298154811 created "2022-10-01" @default.
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- W4298154811 date "2016-11-29" @default.
- W4298154811 modified "2023-10-14" @default.
- W4298154811 title "Induced Weights on Quotient Modules and an Application to Error Correction in Coherent Networks" @default.
- W4298154811 doi "https://doi.org/10.48550/arxiv.1611.09616" @default.
- W4298154811 hasPublicationYear "2016" @default.
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