"JOURNAL OF RADIO ELECTRONICS" (Zhurnal Radioelektroniki ISSN 1684-1719, N 9, 2016

contents             full texthtml,   pdf   

Error detection by BCH code over the field GF(4) based on the spectral description


V. A. Vershinin

P. A. Solovyov Rybinsk State Aviation Technical University

The paper is received on September 6, 2016

Abstract. The article discusses the spectral description of BCH code over the field GF(4). The purpose of the codingerror detection. The assessment of coding efficiency, when the number of errors in the code word greater than the number of guaranteed detectable errors.

Simulation of the decoding process showed that the highest value of the probability of undetected error is obtained when the number of errors in the code word equal to the code distance. This probability is used in the article to estimate from above the probability of undetected error.

If the number of errors in the code word is greater than or equal to the code distance, then increase the length of the code words in the constant value of the code distance it is possible to obtain an acceptable value of probability of undetected error.

Key words: spectral description, error detection, BCH code.


1. Blahut R. Theory and practice of error control codes Addison-Wesley. 1983. 500 p. ISBN-10: 0201101025 ISBN-13: 978-0201101027

2. Vershinin V.A. Peredacha discretnykh soobschenii [Transmission of discrete messages]. P.A. Solovyov Rybinsk state aviation technological Academy. Rybinsk, 2002.– 82 p.– Dep. in VINITI 17.12.2002, ¹. 2196-Â2002