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UDC 519.72

ON THREE SIGNIFICANT ANNIVERSARIES OF CODING THEORY

G. V. Ovechkin, Dr. Sc. (Tech.), associate professor, Head of Computational and Applied Mathematics Department, RSREU, Ryazan, Russia;

orcid.org/0000-0001-6887-2217, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

A. N. Pylkin, Dr. Sc. (Tech.), associate professor, Professor of Computational and Applied Mathematics Department, RSREU, Ryazan, Russia;

orcid.org/0000-0001-9925-2870, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

The problem of error correction when transmitting data over noisy channels, the effective solution of which is based on the use of error-correction codes and methods for their decoding is considered. The aim of the work is to familiarize the reader with the main stages of coding theory development. The most significant results, the appearance of which led to the emergence and development of both classical coding theory and optimization coding theory are described.

Key words: : coding theory, optimization coding theory, error-correcting codes, binary codes, symbolic codes, error propagation, multi-threshold decoding algorithm.

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