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arXiv · 2309.17193

M-DAB: An Input-Distribution Optimization Algorithm for Composite DNA Storage by the Multinomial Channel

Adir Kobovich·Eitan Yaakobi·Nir Weinberger
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Abstract

Recent experiments have shown that the capacity of DNA storage systems may be significantly increased by synthesizing composite DNA letters. In this work, we model a DNA storage channel with composite inputs as a \textit{multinomial channel}, and propose an optimization algorithm for its capacity achieving input distribution, for an arbitrary number of output reads. The algorithm is termed multidimensional dynamic assignment Blahut-Arimoto (M-DAB), and is a generalized version of the DAB algorithm, proposed by Wesel et al. developed for the binomial channel. We also empirically observe a scaling law behavior of the capacity as a function of the support size of the capacity-achieving input distribution.

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Adir Kobovich, Eitan Yaakobi, Nir Weinberger. 2023-09-29. M-DAB: An Input-Distribution Optimization Algorithm for Composite DNA Storage by the Multinomial Channel. https://doi.org/10.3929/ethz-b-000664587

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