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arXiv · 1302.6154

Upper Bounds on the Size of Grain-Correcting Codes

Navin Kashyap·Gilles Zémor
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Abstract

In this paper, we re-visit the combinatorial error model of Mazumdar et al. that models errors in high-density magnetic recording caused by lack of knowledge of grain boundaries in the recording medium. We present new upper bounds on the cardinality/rate of binary block codes that correct errors within this model.

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Navin Kashyap, Gilles Zémor. 2013-02-25. Upper Bounds on the Size of Grain-Correcting Codes. https://arxiv.org/abs/1302.6154

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