Theoretical and Experimental Investigation of Error Detecting and Error Correcting Ability of Rank Codes

Abstract

The paper presents the results of theoretical and experimental studies of the ability of the rank codes, proposed by the authors, to detect and correct errors introduced by information transmission channels. The introduction discusses the principles of rank codes building and their application in decision-making systems. In the main part of the presented work, aspects of research related to the theoretical and experimental evaluation of their ability to detect and correct errors introduced by the transmission channel are highlighted. Algorithms for finding and correcting errors are presented.