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


الملخص بالإنكليزية

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 asymptot

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