On the Existence of Perfect Codes for Asymmetric Limited-Magnitude Errors

preprint2011arXivOpen access

Abstract

Block codes, which correct asymmetric errors with limited-magnitude, are studied. These codes have been applied recently for error correction in flash memories. The codes will be represented by lattices and the constructions will be based on a generalization of Sidon sequences. In particular we will consider perfect codes for these type of errors.

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