Integer Codes Correcting Single Errors of Specific Types (e1,e2,...,es)

Hristo KOSTADINOV  Hiroyoshi MORITA  Nikolai MANEV  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E86-A   No.7   pp.1843-1849
Publication Date: 2003/07/01
Online ISSN: 
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Communication Theory and Signals
integer codes,  finite rings,  A,  multiplicative group,  

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In this paper, we investigate the problem how to construct integer codes capable of correcting any single error in the set {1,t,...,tk-1} and generalize our results to obtain (e1,e2,...,es) single error correctable codes where ei's are different elements in A. Moreover, we shall give the exact form of the check matrix in most of the classes considered in this paper.