In this paper, we study achievable rates of concatenated coding schemes over a deoxyribonucleic acid (DNA) storage channel. Our channel model incorporates the main features of DNA-based data storage. First, information is stored on many, short DNA strands. Second, the strands are stored in an unordered fashion inside the storage medium and each strand is replicated many times. Third, the data is accessed in an uncontrollable manner, i.e., random strands are drawn from the medium and received, possibly with errors. As one of our results, we show that there is a significant gap between the channel capacity and the achievable rate of a standard concatenated code in which one strand corresponds to an inner block. This is in fact surprising as for other channels, such as q-ary symmetric channels, concatenated codes are known to achieve the capacity. We further propose a modifiedconcatenated coding scheme by combining several strands into one inner block, which allows to narrow the gap and achieve rates that are close to the capacity.
|Title of host publication||Proceedings of 2020 International Symposium on Information Theory and its Applications|
|Publication date||24 Oct 2020|
|Publication status||Published - 24 Oct 2020|
|Event||16th International Symposium on Information Theory and its Applications - Virtual, Kapolei, United States|
Duration: 24 Oct 2020 → 27 Oct 2020
Conference number: 16
|Conference||16th International Symposium on Information Theory and its Applications|
|Period||24/10/2020 → 27/10/2020|
|Sponsor||Research Society of Information Theory and its Applications, Engineering Sciences Society, IEICE|
|Series||Proceedings of 2020 International Symposium on Information Theory and its Applications, ISITA 2020|
Bibliographical noteFunding Information:
This work has been supported by the European Union’s Horizon 2020 research and innovation programme under the the European Research Council (ERC) grant agreement no. 801434 and the Marie Sklodowska-Curie grant agreement no. 713683.
© 2020 IEICE.