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We study the top-$k$ selection problem under the differential privacy model: $m$ items are rated according to votes of a set of clients. We consider a setting in which algorithms can retrieve data via a sequence of accesses, each either a…

Cryptography and Security · Computer Science 2023-05-31 Hao Wu , Olga Ohrimenko , Anthony Wirth

Owing to its immense storage density and durability, DNA has emerged as a promising storage medium. However, due to technological constraints, data can only be written onto many short DNA molecules called data blocks that are stored in an…

Information Theory · Computer Science 2024-03-26 Shubhransh Singhvi , Charchit Gupta , Avital Boruchovsky , Yuval Goldberg , Han Mao Kiah , Eitan Yaakobi

DNA synthesis is considered as one of the most expensive components in current DNA storage systems. In this paper, focusing on a common synthesis machine, which generates multiple DNA strands in parallel following a fixed supersequence,we…

Information Theory · Computer Science 2025-05-13 Yajuan Liu , Tolga M. Duman

A recent study by one of the authors has demonstrated the importance of profile vectors in DNA-based data storage. We provide exact values and lower bounds on the number of profile vectors for finite values of alphabet size $q$, read length…

Information Theory · Computer Science 2016-07-11 Zuling Chang , Johan Chrisnata , Martianus Frederic Ezerman , Han Mao Kiah

DNA strands serve as a storage medium for $4$-ary data over the alphabet $\{A,T,G,C\}$. DNA data storage promises formidable information density, long-term durability, and ease of replicability. However, information in this intriguing…

Information Theory · Computer Science 2024-08-06 Canberk İrimağzı , Yusuf Uslan , Ahmed Hareedy

Due to its longevity and enormous information density, DNA is an attractive medium for archival data storage. Thanks to rapid technological advances, DNA storage is becoming practically feasible, as demonstrated by a number of experimental…

Information Theory · Computer Science 2022-11-11 Ilan Shomorony , Reinhard Heckel

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

The retrieval problem is the problem of associating data with keys in a set. Formally, the data structure must store a function f: U ->{0,1}^r that has specified values on the elements of a given set S, a subset of U, |S|=n, but may have…

Data Structures and Algorithms · Computer Science 2008-03-27 Martin Dietzfelbinger , Rasmus Pagh

In the recent years, DNA has emerged as a potentially viable storage technology. DNA synthesis, which refers to the task of writing the data into DNA, is perhaps the most costly part of existing storage systems. Accordingly, this high cost…

Information Theory · Computer Science 2022-04-15 Ohad Elishco , Wasim Huleihel

Synthetic DNA approaches 227.5 exabytes per gram of storage density with stability over millennial timescales. Realising this capacity requires error-correction codes that recover data from substantial synthesis and sequencing errors.…

Information Theory · Computer Science 2026-04-23 James L. Banal

The range-minimum query (RMQ) problem is a fundamental data structuring task with numerous applications. Despite the fact that succinct solutions with worst-case optimal $2n+o(n)$ bits of space and constant query time are known, it has been…

Data Structures and Algorithms · Computer Science 2019-03-07 J. Ian Munro , Sebastian Wild

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

DNA is emerging as an increasingly attractive medium for data storage due to a number of important and unique advantages it offers, most notably the unprecedented durability and density. While the technology is evolving rapidly, the…

Emerging Technologies · Computer Science 2022-05-03 Dehui Lin , Yasamin Tabatabaee , Yash Pote , Djordje Jevdjic

The problem called "String reconstruction from substrings" is a mathematical model of sequencing by hybridization that plays an important role in DNA sequencing. In this problem, we are given a blackbox oracle holding an unknown string…

Data Structures and Algorithms · Computer Science 2018-08-03 Kazuo Iwama , Junichi Teruyama , Shuntaro Tsuyama

Due to its higher data density, longevity, energy efficiency, and ease of generating copies, DNA is considered a promising storage technology for satisfying future needs. However, a diverse set of errors including deletions, insertions,…

Information Theory · Computer Science 2022-08-05 Yuanyuan Tang , Shuche Wang , Hao Lou , Ryan Gabrys , Farzad Farnoud

The random access problem for compressed strings is to build a data structure that efficiently supports accessing the character in position $i$ of a string given in compressed form. Given a grammar of size $n$ compressing a string of size…

Data Structures and Algorithms · Computer Science 2015-01-27 Patrick Hagge Cording

DNA Data storage has recently attracted much attention due to its durable preservation and extremely high information density (bits per gram) properties. In this work, we propose a hybrid coding strategy comprising of generalized…

Information Theory · Computer Science 2021-12-20 Yixin Wang , Li Deng , Md. Noor-A-Rahim , Erry Gunawan , Yong L. Guan , Zhi P. Shi , Chueh L. Poh

The Closest String Problem is an NP-hard problem that aims to find a string that has the minimum distance from all sequences that belong to the given set of strings. Its applications can be found in coding theory, computational biology, and…

Artificial Intelligence · Computer Science 2024-07-19 Alireza Abdi , Marko Djukanovic , Hesam Tahmasebi Boldaji , Hadis Salehi , Aleksandar Kartelj

The exponential increase in storage demand and low lifespan of data storage devices has resulted in long-term archival and preservation emerging as a critical bottlenecks in data storage. In order to meet this demand, researchers are now…

Image and Video Processing · Electrical Eng. & Systems 2025-05-22 Xavier Pic , Raja Appuswamy

The list-labeling problem captures the basic task of storing a dynamically changing set of up to $n$ elements in sorted order in an array of size $m = (1 + \Theta(1))n$. The goal is to support insertions and deletions while moving around…

Data Structures and Algorithms · Computer Science 2024-05-03 Michael A. Bender , Alex Conway , Martín Farach-Colton , Hanna Komlós , Michal Koucký , William Kuszmaul , Michael Saks