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Computer Science > Information Theory

arXiv:2201.05995 (cs)
[Submitted on 16 Jan 2022 (v1), last revised 24 Nov 2022 (this version, v4)]

Title:The Secure Storage Capacity of a DNA Wiretap Channel Model

Authors:Praneeth Kumar Vippathalla, Navin Kashyap
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Abstract:In this paper, we propose a strategy for making DNA-based data storage information-theoretically secure through the use of wiretap channel coding. This motivates us to extend the shuffling-sampling channel model of Shomorony and Heckel (2021) to include a wiretapper. Our main result is a characterization of the secure storage capacity of our DNA wiretap channel model, which is the maximum rate at which data can be stored within a pool of DNA molecules so as to be reliably retrieved by an authorized party (Bob), while ensuring that an unauthorized party (Eve) gets almost no information from her observations. Furthermore, our proof of achievability shows that index-based wiretap channel coding schemes are optimal.
Comments: 35 pages, 6 figures, submitted to the IEEE Transactions on Information Theory. This version includes a DNA wiretap channel with a shared key and a section on block-erasure wiretap channels
Subjects: Information Theory (cs.IT)
Cite as: arXiv:2201.05995 [cs.IT]
  (or arXiv:2201.05995v4 [cs.IT] for this version)
  https://doi.org/10.48550/arXiv.2201.05995

Submission history

From: Praneeth Kumar Vippathalla [view email]
[v1] Sun, 16 Jan 2022 07:43:11 UTC (48 KB)
[v2] Wed, 9 Feb 2022 14:36:15 UTC (48 KB)
[v3] Thu, 28 Apr 2022 08:06:33 UTC (91 KB)
[v4] Thu, 24 Nov 2022 08:08:04 UTC (61 KB)
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