\[ \newcommand{\vp}{\varphi} \newcommand{\A}{\mathcal A} \newcommand{\O}{\mathcal O} \newcommand{\N}{\mathbb N} \newcommand{\Z}{\mathbb Z} \newcommand{\ed}{\mathrm{ed}} \newcommand{\mh}{\mathrm{mh}} \newcommand{\hash}{\mathrm{hash}} \] Here is an idea for an algorithm to assemble long reads. Go over all sequences and sketch their windows using the Hamming distance preserving sketch method described here. This method may need some tweaking to also work with an indel rate of around 10%. Let’s...