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In this paper, we study error exponents for a concatataned coding based class of DNA storage codes in which the number of reads performed can be variable. That is, the decoder can sequentially perform reads and choose whether to output the…

Information Theory · Computer Science 2025-04-25 Yan Hao Ling , Nir Weinberger , Jonathan Scarlett

Owing to its longevity and enormous information density, DNA, the molecule encoding biological information, has emerged as a promising archival storage medium. However, due to technological constraints, data can only be written onto many…

Emerging Technologies · Computer Science 2018-03-12 Reinhard Heckel , Gediminas Mikutis , Robert N. Grass

In this letter, we present a hybrid iterative decoder for non-binary low density parity check (LDPC) codes over binary erasure channel (BEC), based on which the recursion of the erasure probability is derived to design non-binary LDPC codes…

Signal Processing · Electrical Eng. & Systems 2020-03-04 Yang Yu , Wen Chen , Lili Wei

The coverage depth problem in DNA data storage is about computing the expected number of reads needed to recover all encoded strands. Given a generator matrix of a linear code, this quantity equals the expected number of randomly drawn…

Information Theory · Computer Science 2026-03-09 Matteo Bertuzzo , Alberto Ravagnani , Eitan Yaakobi

Constrained coding plays a key role in optimizing performance and mitigating errors in applications such as storage and communication, where specific constraints on codewords are required. While non-parametric constraints have been…

Information Theory · Computer Science 2025-05-05 Daniella Bar-Lev , Michael Shlizerman

As a possible implementation of data storage using DNA, multiple strands of DNA are stored in a liquid container so that, in the future, they can be read by an array of DNA readers in parallel. These readers will sample the strands with…

Information Theory · Computer Science 2024-09-04 Hsin-Po Wang , Venkatesan Guruswami

The design of large libraries of oligonucleotides having constant GC-content and satisfying Hamming distance constraints between oligonucleotides and their Watson-Crick complements is important in reducing hybridization errors in DNA…

Information Theory · Computer Science 2008-03-27 Yeow Meng Chee , San Ling

Due to the redundant nature of DNA synthesis and sequencing technologies, a basic model for a DNA storage system is a multi-draw "shuffling-sampling" channel. In this model, a random number of noisy copies of each sequence is observed at…

Information Theory · Computer Science 2021-12-06 Kel Levick , Reinhard Heckel , Ilan Shomorony

Low-density parity-check (LDPC) codes with the parity-based approach for distributed joint source channel coding (DJSCC) with decoder side information is described in this paper. The parity-based approach is theoretical limit achievable.…

Information Theory · Computer Science 2014-04-10 Feng Cen

A method for encoding information in DNA sequences is described. The method is based on the precision-resolution framework, and is aimed to work in conjunction with a recently suggested terminator-free template independent DNA synthesis…

Information Theory · Computer Science 2020-05-14 Siddharth Jain , Farzad Farnoud , Moshe Schwartz , Jehoshua Bruck

This work presents a theoretical analysis of the probability of successfully retrieving data encoded with MDS codes (e.g., Reed-Solomon codes) in DNA storage systems. We study this probability under independent and identically distributed…

Information Theory · Computer Science 2026-05-08 Serge Kas Hanna

Motivated by polymer-based data-storage platforms that use chains of binary synthetic polymers as the recording media and read the content via tandem mass spectrometers, we propose a new family of codes that allows for both unique string…

Information Theory · Computer Science 2021-06-29 Srilakshmi Pattabiraman , Ryan Gabrys , Olgica Milenkovic

DNA based storage systems received attention by many researchers. This includes archival and re-writable random access DNA based storage systems. In this work, we have developed an efficient technique to encode the data into DNA sequence by…

Information Theory · Computer Science 2016-04-25 Dixita Limbachiya , Vijay Dhameliya , Madhav Khakhar , Manish K Gupta

LDPC (Low Density Parity Check) codes are among the most powerful and widely adopted modern error correcting codes. The iterative decoding algorithms required for these codes involve high computational complexity and high processing…

Hardware Architecture · Computer Science 2011-05-16 Carlo Condo , Guido Masera

This paper presents and analyzes a novel concatenated coding scheme for enabling error resilience in two distributed storage settings: one being storage using existing regenerating codes and the second being storage using locally repairable…

Information Theory · Computer Science 2013-12-12 Natalia Silberstein , Ankit Singh Rawat , Sriram Vishwanath

Over the past years, the ever-growing trend on data storage demand, more specifically for "cold" data (rarely accessed data), has motivated research for alternative systems of data storage. Because of its biochemical characteristics,…

Machine Learning · Computer Science 2022-03-21 Xavier Pic , Marc Antonini

Decoding sequences that stem from multiple transmissions of a codeword over an insertion, deletion, and substitution channel is a critical component of efficient deoxyribonucleic acid (DNA) data storage systems. In this paper, we consider a…

Information Theory · Computer Science 2020-10-30 Andreas Lenz , Issam Maarouf , Lorenz Welter , Antonia Wachter-Zeh , Eirik Rosnes , Alexandre Graell i Amat

The coverage depth problem in DNA data storage is about minimizing the expected number of reads until all data is recovered. When they exist, MDS codes offer the best performance in this context. This paper focuses on the scenario where the…

Information Theory · Computer Science 2025-07-29 Matteo Bertuzzo , Alberto Ravagnani , Eitan Yaakobi

Encoding data as a set of unordered strings is receiving great attention as it captures one of the basic features of DNA storage systems. However, the challenge of constructing optimal redundancy codes for this channel remained elusive. In…

Information Theory · Computer Science 2023-08-16 Jin Sima , Netanel Raviv , Jehoshua Bruck

DNA storage systems face significant challenges, including insertion, deletion, and substitution (IDS) errors. Therefore, designing effective synchronization codes, i.e., codes capable of correcting IDS errors, is essential for DNA storage…

Information Theory · Computer Science 2025-05-23 Javad Haghighat , Tolga M. Duman
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