  Recent work identified the fundamental limits on the information requirements
in terms of read length and coverage depth required for successful de novo
genome reconstruction from shotgun sequencing data, based on the idealistic
assumption of no errors in the reads (noiseless reads). In this work, we show
that even when there is noise in the reads, one can successfully reconstruct
with information requirements close to the noiseless fundamental limit. A new
assembly algorithm, X-phased Multibridging, is designed based on a
probabilistic model of the genome. It is shown through analysis to perform well
on the model, and through simulations to perform well on real genomes.
