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arxiv: 1302.6154 · v4 · pith:HI4BLPCXnew · submitted 2013-02-25 · 💻 cs.DM · cs.IT· math.IT

Upper Bounds on the Size of Grain-Correcting Codes

classification 💻 cs.DM cs.ITmath.IT
keywords boundscodeserrorsmodelrecordingupperbinaryblock
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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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