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This paper proposes a novel achievable scheme for the index problem and applies it to the caching problem. Index coding and caching are noiseless broadcast channel problems where receivers have message side information.In the index coding…

Information Theory · Computer Science 2017-02-24 Kai Wan , Daniela Tuninetti , Pablo Piantanida

Due to its high data density and longevity, DNA is considered a promising medium for satisfying ever-increasing data storage needs. However, the diversity of errors that occur in DNA sequences makes efficient error-correction a challenging…

Information Theory · Computer Science 2020-11-12 Yuanyuan Tang , Farzad Farnoud

To make DNA a suitable medium for archival data storage, it is essential to consider the decay process of the strands observed in DNA storage systems. This paper studies the decay process as a probabilistic noisy torn paper channel (TPC),…

Information Theory · Computer Science 2026-01-19 Frederik Walter , Maria Abu-Sini , Nils Weinhardt , Antonia Wachter-Zeh

Ever since deoxyribonucleic acid (DNA) was considered as a next-generation data-storage medium, lots of research efforts have been made to correct errors occurred during the synthesis, storage, and sequencing processes using error…

Information Theory · Computer Science 2023-06-14 Jaeho Jeong , Hosung Park , Hee-Youl Kwak , Jong-Seon No , Hahyeon Jeon , Jeong Wook Lee , Jae-Won Kim

Constrained sequence codes have been widely used in modern communication and data storage systems. Sequences encoded with constrained sequence codes satisfy constraints imposed by the physical channel, hence enabling efficient and reliable…

Information Theory · Computer Science 2018-09-07 Congzhe Cao , Duanshun Li , Ivan Fair

In this paper, we study the Random Access Problem in DNA storage, which addresses the challenge of retrieving a specific information strand from a DNA-based storage system. In this framework, the data is represented by $k$ information…

Information Theory · Computer Science 2025-08-26 Avital Boruchovsky , Ohad Elishco , Ryan Gabrys , Anina Gruica , Itzhak Tamo , Eitan Yaakobi

We investigate the fundamental limits of the recently proposed random access coverage depth problem for DNA data storage. Under this paradigm, it is assumed that the user information consists of $k$ information strands, which are encoded…

Information Theory · Computer Science 2025-09-25 Anina Gruica , Daniella Bar-Lev , Alberto Ravagnani , Eitan Yaakobi

DNA emerges as a promising medium for the exponential growth of digital data due to its density and durability. This study extends recent research by addressing the \emph{coverage depth problem} in practical scenarios, exploring optimal…

Information Theory · Computer Science 2024-02-01 Hadas Abraham , Rayn Gabrys , Eitan Yaakobi

In this paper, we study how often unique decoding from $t$ insertions or $t$ deletions occurs for error correcting codes. Insertions and deletions frequently occur in synchronization problems and DNA, a medium which is beginning to be used…

Information Theory · Computer Science 2017-09-29 Kayvon Mazooji

Although the expenses associated with DNA sequencing have been rapidly decreasing, the current cost of sequencing information stands at roughly $120/GB, which is dramatically more expensive than reading from existing archival storage…

Discrete Mathematics · Computer Science 2023-11-30 Daniella Bar-Lev , Omer Sabary , Ryan Gabrys , Eitan Yaakobi

We describe properties and constructions of constraint-based codes for DNA-based data storage which account for the maximum repetition length and AT/GC balance. We present algorithms for computing the number of sequences with maximum…

Information Theory · Computer Science 2018-12-18 Kees A. Schouhamer Immink , Kui Cai

The ability to store data in the DNA of a living organism has applications in a variety of areas including synthetic biology and watermarking of patented genetically-modified organisms. Data stored in this medium is subject to errors…

Information Theory · Computer Science 2016-11-17 Siddharth Jain , Farzad Farnoud , Moshe Schwartz , Jehoshua Bruck

DNA is an attractive candidate for data storage. Its millennial durability and nanometer scale offer exceptional data density and longevity. Its relevance to medical applications also drives advances in DNA-related biotechnology. To protect…

Information Theory · Computer Science 2025-11-25 Yu-Ting Lin , Hsin-Po Wang , Venkatesan Guruswami

We address the challenge of optimizing the capacity-achieving input distribution for a multinomial channel under the constraint of limited input support size, which is a crucial aspect in the design of DNA storage systems. We propose an…

Information Theory · Computer Science 2025-01-28 Adir Kobovich , Eitan Yaakobi , Nir Weinberger

In "extreme" computational imaging that collects extremely undersampled or noisy measurements, obtaining an accurate image within a reasonable computing time is challenging. Incorporating image mapping convolutional neural networks (CNN)…

Machine Learning · Statistics 2023-08-31 Il Yong Chun , Jeffrey A. Fessler

We consider the problem of constructing an erasure code for storage over a network when the data sources are distributed. Specifically, we assume that there are n storage nodes with limited memory and k<n sources generating the data. We…

Information Theory · Computer Science 2016-11-15 Alexandros G. Dimakis , Vinod Prabhakaran , Kannan Ramchandran

DNA data storage is rapidly emerging as a promising solution for long-term data archiving, largely due to its exceptional durability. However, the synthesis of DNA strands remains a significant bottleneck in terms of cost and speed. To…

Other Computer Science · Computer Science 2025-07-11 Parv Agarwal , Nimesh Pinnamaneni , Thomas Heinis

Regenerating codes provide an efficient way to recover data at failed nodes in distributed storage systems. It has been shown that regenerating codes can be designed to minimize the per-node storage (called MSR) or minimize the…

Information Theory · Computer Science 2013-01-14 Yunghsiang S. Han , Hong-Ta Pai , Rong Zheng , Pramod K. Varshney

Motivated by mutation processes occurring in in-vivo DNA-storage applications, a channel that mutates stored strings by duplicating substrings as well as substituting symbols is studied. Two models of such a channel are considered: one in…

Information Theory · Computer Science 2020-07-01 Yuanyuan Tang , Yonatan Yehezkeally , Moshe Schwartz , Farzad Farnoud

We study the problem of deep joint source-channel coding (D-JSCC) for correlated image sources, where each source is transmitted through a noisy independent channel to the common receiver. In particular, we consider a pair of images…

Information Theory · Computer Science 2022-01-26 Sixian Wang , Ke Yang , Jincheng Dai , Kai Niu
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