"Catching Errors in Cyclic Codes" "Detection of Errors in Cyclic Codes" « Error - Trapping in Cyclic Codes »

Coding theory (English: coding theory) is a branch of mathematics (mathematics) and computer science (computer science) that deals with error-prone situations in the process of transmitting data over communication channels. noise channels), using sophisticated methods that make the majority of errors that occur can be corrected. It also deals with the characteristics of the codes (codes), and thus makes them suitable for specific applications. One of the most important scientific and technical problems at the present stage is the creation of automated control and monitoring systems for performing various tasks. In the process of automated control and monitoring, there is an intensive exchange of information between the individual parts of the systems, while the volume of information, as well as the speed of processing and transmitting it, are constantly growing. Increasingly high requirements are imposed on the reliability of transmitted messages, which leads to the need to apply special measures that reduce the frequency of errors to a certain acceptable level