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Upper Bounds on the Size of Grain-Correcting Codes (1302.6154v4)
Published 25 Feb 2013 in cs.DM, cs.IT, and math.IT
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.