Abstract. The article discusses the spectral description of BCH code over the field GF(4).
The purpose of the coding – error 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.
References
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