A criterion for the evaluation of the intrinsic correcting performance of the
RRS(
n,
k) code is the theoretical relationship between the line BER before FEC function
BBER(in) and the line correction BER after FEC function
BBER(out). For the RS codes, this criterion can be mathematically computed with the assumptions that errors occur independently from each other and that the decoder never fails (probability of incorrect decoding equal to zero) [
3]:
where
Pout is the output symbol error rate;
Pin is the input symbol error rate;
n is codeword length (255).