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Error correcting codes ; asymmetrical errors ; optimal codes
Abstract:
From a practical point of view the codes over rings Z2m or Z2m+1 are interesting, because they can be used in QAM (Quadrature amplitude modulation) schemes. Until today we only know codes with 4 parity check symbols, which have a limited length C (N, N-4). In this paper a method allowing to construct C(2N, 2N-6) double ±1 error correcting codes over rings Zm from the given C(N, N-4) double ±1 error correcting codes over rings Zm is developed by adding only two extra parity check symbols.
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Affiliation:
American University of Armenia ; Institute for Informatics and Automation Problems
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Conference title:
11th International Conference on Computer Science and Information Technologies CSIT 2017