Abstract.
The article discusses
the spectral description of the Reed –Solomon code.
The purpose of the coding is
error detection. The
assessment of coding efficiency,
when the number of
errors in the code word is
greater than the number of
guaranteed detectable
errors, is given.
Simulation of the decoding process
shows that
the
highest value of the probability of undetected error
is obtained when
the number of errors in the code word
is equal to the code
distance. We use this
probability 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,
it is possible to obtain an acceptable value of probability of undetected
value in the case when the length of the code
words increases and the value of the code distance is constant.
Key words:
spectral description, error
detection, Reed–Solomon code.
1. Blahut Richrd E. Theory and
Practice of Error Control Codes. Published May 1st
1983 by Addison Wesley Publishing Company.
500 p.
ISBN 0201101025
(ISBN13: 9780201101027).