Lattice Erasure Codes of Low Rank with Noise Margins

Vinay A. Vaishampayan

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arXiv · 1801.04466

Lattice Erasure Codes of Low Rank with Noise Margins

Vinay A. Vaishampayan

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Abstract

We consider the following generalization of an $(n,k)$ MDS code for application to an erasure channel with additive noise. Like an MDS code, our code is required to be decodable from any $k$ received symbols, in the absence of noise. In addition, we require that the noise margin for every allowable erasure pattern be as large as possible and that the code satisfy a power constraint. In this paper we derive performance bounds and present a few designs for low rank lattice codes for an additive noise channel with erasures.

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Vinay A. Vaishampayan. 2018-01-13. Lattice Erasure Codes of Low Rank with Noise Margins. https://arxiv.org/abs/1801.04466

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