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Systematic single limited magnitude asymmetric error correcting codes

TitleSystematic single limited magnitude asymmetric error correcting codes
Publication TypeConference Paper
Year of Publication2010
AuthorsKløve, T., B. Bose, and N. Elarief
Conference Name2010 IEEE Information Theory Workshop on Information Theory (ITW)
Pagination1 - 1
Date Published01/2010
Conference LocationCairo, Egypt
ISBN Number978-1-4244-6372-5
Keywordserror correction codes, measurement errors

In the asymmetric error model, a symbol a over an alphabet Zq = {0,1,..., q - 1} may be modified during transmission into b, where b <; a (assuming that the dominant error type is the decreasing error). For some applications, the error magnitude b - a is not likely to exceed a certain threshold l. One such application is the multi-level flash memory (Cassuto et al., 2008). In this paper, we propose systematic codes which correct single limited magnitude asymmetric errors (single l-AEC codes). The proposed codes achieve higher rate than the ones given in (Cassuto) for the case where t = 1. We illustrate the main construction by the following examples.