Fig. 8.

Performance comparison of barcodes with different lengths and different values of $k$. $P_{\text{mut}}$ represents the probability that every base is mutated. $P_{\text{e}}$ indicates the probability of incorrectly decoding a corrupted barcode. The 31-nt barcodes constructed by BCH(31, 11, 5) and the 15-nt barcodes constructed with BCH(15, 5, 3) perform better when considering $P_{\text{mut}}\in \left[0.1,0.33\right]$$\left(P_{\text{i}}=P_{\text{d}}=P_{\text{s}}\right)$, and the identification error rates are lower than ${10}^{-5}$ for $P_{\text{mut}}<0.10$