The performance of LDPC barcodes.

<p>LDPC barcodes of size <i>N</i> ≤ 25 constrained to accomplish <i>M</i> ≥ 24 and <i>p</i>_<i>u</i> ≤ 10⁻⁸ over a <i>QSC</i> model where mismatch errors occur with probability <i>p</i>_<i>s</i> = 10⁻². <i>M</i>, <i>B</i>, <i>p</i>_<i>e</i> and <i>p</i>_<i>u</i> are respectively the empirical estimates of the multiplexing capacity, the barcoding rate, the probability of barcodes identification error and the probability of undetected multiplexing errors; <math><mrow><msubsup><mi>p</mi><mi>e</mi><mo>+</mo></msubsup></mrow></math> and <math><mrow><msubsup><mi>p</mi><mi>u</mi><mo>+</mo></msubsup></mrow></math> are the upper error bars of the two latter ones. Underlying codes are quaternary LDPC codes of size <i>n</i> able to carry <i>k</i> informative quads.</p><p>The performance of LDPC barcodes.