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Математическая модель коррекции неисправностей на основе кода Галуа

Математическая модель коррекции неисправностей на основе кода Галуа

Abstract

A method of non-redundant information for error protection of data streams based on a new class of signal-correcting codes, which are used in the linear properties and repetitive spiral Galois field codes. Transmission and reception on the basis of the proposed codes, additional signals are formed on the basis of four characters that are associated with elements of an information message according to the codes of Galois fields. This article discusses the use of codes of Galois fields to protect information from unauthorized access and describes a mathematical model based on fault correction code GALOIS. s development of electronic databases and technology elements packet data in a wireless network, introduction of new frequency bands, and the development of effective protocols functioning decentralized network with self-organizing data provide the conditions for large-scale penetration of radio technologies in the construction of industrial systems perspective.

Предложен метод нерезервированной защиты от ошибок информационных потоков данных на основе нового класса кодов коррекции сигнала, в котором используются повторяющиеся свойства линейных и спиральных кодов полей Галуа. При передаче и приеме на основе предложенных кодов, дополнительные сигналы формируются на основе четырех знаков, которые связаны с элементами информационного сообщения в соответствии с кодами полей Галуа. В данной статье рассматривается использование коды полей Галуа для защиты информации от несанкционированного доступа и описывается математическая модель коррекции неисправностей на основе кода ГАЛУА.

Keywords

КОД ГАЛУА, КОДОВАЯ ПОСЛЕДОВАТЕЛЬНОСТЬ, СИМВОЛИЧЕСКИЕ ЗНАКИ, ИНФОРМАЦИОННЫЕ БИТЫ

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold