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Advanced Engineering Research
Article . 2015
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Correcting capacity of soft-decision decoder of ternary Reed - Muller second-order codes with a large number of errors

Authors: Nadezhda Sergeyevna Mogilevskaya;

Correcting capacity of soft-decision decoder of ternary Reed - Muller second-order codes with a large number of errors

Abstract

The research objective is to study the correcting capacity of a new soft decoder of Reed-Muller codes. The technique of achieving the goal is an experimental study of the decoder using a specially built simulation model of the antinoise data transfer channel. The model message source and receiver handle the numeric data identified in F3 field. The communication line of the constructed model produces digital or continuous signals depending on the settings. In the case of continuous signals, two variants of the basic signal distortion and their combinations are considered. Noise immunity of the simulated communication link is provided by using Reed-Muller second-order codes identified over F3 field, and the new soft-decision decoder for these codes. The results of the simulation experiments show that the decoder under study in both digital and semicontinuous channel allows correcting more errors than it is guaranteed by the minimum code distance. The decoder has proved the most effective in the semicontinuous communication channels. The decoder’s correcting capacity depends heavily on the communication line type and on the signal distortion mode; it is not sensitive to the error location within the codeword. Conclusions are made on the use of the new decoder in the low-rated communication channels to provide noise immunity, and in a number of the cryptographic applications.

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Keywords

ternary reed-muller codes, ternary channel, soft-decision decoder, троичные коды рида, исправление ошибок за границей половины минимального расстояния кода, экспериментальное исследование корректирующей способности кода, математическая модель канала связи, experimental research of the code correcting capability, маллера, троичный канал связи, mathematical model of communication channel, TA401-492, error control out of the half minimum code distance, декодер мягких решений, Materials of engineering and construction. Mechanics of materials

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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!
2
Average
Top 10%
Average
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