  Over the past years, the ever-growing trend on data storage demand, more
specifically for "cold" data (i.e. rarely accessed), has motivated research for
alternative systems of data storage. Because of its biochemical
characteristics, synthetic DNA molecules are now considered as serious
candidates for this new kind of storage. This paper introduces a novel
arithmetic coder for DNA data storage, and presents some results on a lossy
JPEG 2000 based image compression method adapted for DNA data storage that uses
this novel coder.
  The DNA coding algorithms presented here have been designed to efficiently
compress images, encode them into a quaternary code, and finally store them
into synthetic DNA molecules. This work also aims at making the compression
models better fit the problematic that we encounter when storing data into DNA,
namely the fact that the DNA writing, storing and reading methods are error
prone processes.
  The main take away of this work is our arithmetic coder and it's integration
into a performant image codec.
