A method for sequencing a polynucleotide sample having a barcode sequence includes: introducing a series of nucleotides to the polynucleotide sample according to a predetermined order of nucleotide flows; obtaining a series of signals resulting from the introducing of nucleotides to the polynucleotide sample; and resolving the series of signals over the barcode sequence to render a flowspace string, wherein the flowspace string is a codeword of an error-correcting code that is (i) designed based on and adapted for use with the predetermined order of nucleotide flows, and (ii) capable of distinguishing any codeword in the error-correcting code from the other codewords in the error-correcting code in the presence of zero, one, and two errors.