1 research outputs found
Information-bit error rate and false positives in an MDS code
In this paper, a refinement of the weight distribution in an MDS code is
computed. Concretely, the number of codewords with a fixed amount of nonzero
bits in both information and redundancy parts is obtained. This refinement
improves the theoretical approximation of the information-bit and -symbol error
rate, in terms of the channel bit-error rate, in a block transmission through a
discrete memoryless channel. Since a bounded distance reproducing encoder is
assumed, the computation of the here-called false positive (a decoding failure
with no information-symbol error) is provided. As a consequence, a new
performance analysis of an MDS code is proposed