ISSN 1991-2927
 

ACP № 3 (61) 2020

The Mathematical Models of Telecommunication Systems Used in Integrated Information-management Complexes

Anatolii Afanasevich Gladkikh, Ulyanovsk State Technical University, Doctor of Engineering, graduated from S.M. Budyonny Military Communication Academy, finished his postgraduate studies at the same Academy; Professor at the Department of Telecommunications at Ulyanovsk State Technical University; an author of a monograph, textbooks, research papers, and patents in the field of noiseless coding and information security. [e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it. ]A. Gladkikh,

Taqwa Flayyih Hasan Al-Tameemi, , Postgraduate student at the Department of Telecommunications of Ulyanovsk State Technical University; finished her postgraduate studies and got the master's degree in computer science in Informatics Institute for postgraduate studies (Iraqi Commission for Computer and Informatics in Baghdad); worked as an Assistant Lecturer at the College of Engineering in Diyala University; an author of articles in the field of soft decoding redundant codes. [e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it. ]T. Al-Tameemi

The Mathematical Models of Telecommunication Systems Used in Integrated Information-management Complexes 000_4.pdf

The article considers the method of effective processing of error-correcting codes combinations. The method is based on the possibility of lexicographical partitioning of code words space into clusters. This process allows to realize the list decoding method of code vectors on a regular basis with the use of a single list, which refers to the cluster number zero. The authors show that the vector of any other cluster with simple transformations can be brought to a vector of the cluster zero. The article proves that the method is applicable to binary and non-binary codes.

Error-correcting codes, list decoding, binary codes, non-binary codes.

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