The disclosed embodiments concern methods, apparatus, systems and computer program products for determining sequences of interest using unique molecular index sequences that are uniquely associable with individual polynucleotide fragments, including sequences with low allele frequencies and long sequence length. In some implementations, the unique molecular index sequences include variable-length nonrandom sequences. In some implementations, the unique molecular index sequences are associated with the individual polynucleotide fragments based on alignment scores indicating similarity between the unique molecular index sequences and subsequences of sequence reads obtained from the individual polynucleotide fragments. System, apparatus, and computer program products are also provided for determining a sequence of interest implementing the methods disclosed.