The empirical probability <i>p</i>_<i>e</i> of decoding error accomplished by BCH barcodes of size <i>N</i>, multiplexing capacity <i>M</i> and barcoding rate <i>B</i>.

<p>Sequencing errors follow a <i>QSC</i> model with probability <i>p</i>_<i>s</i>. Binary BCH codes of size <i>n</i> shortened with parameter <i>s</i> able induce 2^{<i>k</i>−<i>s</i>} candidate barcode sequences and to correct at least <i>t</i> binary errors at a coding rate <i>r</i> are used.