On (1) Error Correctable Integer Codes

Hristo KOSTADINOV  Hiroyoshi MORITA  Nikolai MANEV  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E93-A   No.12   pp.2758-2761
Publication Date: 2010/12/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E93.A.2758
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Information Theory
integer codes,  finite rings,  QAM,  AWGN,  

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Integer codes correct errors of a given type, which means that for a given communication channel and modulator we can choose the type of the errors (which are the most common) then construct integer code capable of correcting those errors. A new general construction of single (1) error correctable integer codes will be presented. Comparison between single and multiple (1) error correctable integer codes over AWGN channel using QAM scheme will be presented.