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The Random Sequential Adsorption (RSA) problem holds crucial theoretical and practical significance, serving as a pivotal framework for understanding and optimizing particle packing in various scientific and technological applications. Here…

Statistical Mechanics · Physics 2024-04-09 G Palacios , A M S Macêdo , Sumanta Kundu , M A F Gomes

In this paper, we consider the problem of designing DNA sequences (codewords) for DNA storage systems and DNA computing that are unlikely to fold back onto themselves to form undesirable secondary structures. The paper addresses both the…

Discrete Mathematics · Computer Science 2016-11-17 Olgica Milenkovic , Navin Kashyap

We consider large-scale sensor networks with n nodes, out of which k are in possession, (e.g., have sensed or collected in some other way) k information packets. In the scenarios in which network nodes are vulnerable because of, for…

Information Theory · Computer Science 2016-11-15 Salah A. Aly , Zhenning Kong , Emina Soljanin

Synthesis of DNA molecules offers unprecedented advances in storage technology. Yet, the microscopic world in which these molecules reside induces error patterns that are fundamentally different from their digital counterparts. Hence, to…

Information Theory · Computer Science 2017-08-08 Netanel Raviv , Moshe Schwartz , Eitan Yaakobi

In DNA-based data storage, DNA codes with biochemical constraints and error correction are designed to protect data reliability. Single-stranded DNA sequences with secondary structure avoidance (SSA) help to avoid undesirable secondary…

Information Theory · Computer Science 2023-07-04 Shu Liu , Chaoping Xing , Yaqian Zhang

Random linear network coding (RLNC) has been shown to efficiently improve the network performance in terms of reducing transmission delays and increasing the throughput in broadcast and multicast communications. However, it can result in…

Systems and Control · Computer Science 2016-10-25 Emmanouil Skevakis , Ioannis Lambadaris

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

The biggest challenge when using DNA as a storage medium is maintaining its stability. The relative occurrence of Guanine (G) and Cytosine (C) is essential for the longevity of DNA. In addition to that, reverse complementary base pairs…

Information Theory · Computer Science 2023-08-03 NallappaBhavithran G , Selvakumar R

We study a multi-access variant of the popular coded caching framework, which consists of a central server with a catalog of $N$ files, $K$ caches with limited memory $M$, and $K$ users such that each user has access to $L$ consecutive…

Information Theory · Computer Science 2020-03-13 Kota Srinivas Reddy , Nikhil Karamchandani

This paper proposes an algorithm for increasing data persistency in large-scale sensor networks. In the scenario considered here, k out of n nodes sense the phenomenon and produced ? information packets. Due to usually hazardous environment…

Information Theory · Computer Science 2012-01-24 Saber Jafarizadeh , Abbas Jamalipour

In this paper we study the structure of specific linear codes called DNA codes. The first attempts on studying such codes have been proposed over four element rings which are naturally matched with DNA four letters. Later, double (pair) DNA…

Combinatorics · Mathematics 2017-03-31 Fatmanur Gürsoy , Elif Segah Oztas , Irfan Siap

We consider the setting of distributed storage system where a single file is subdivided into smaller fragments of same size which are then replicated with a common replication factor across servers of identical cache size. An incoming file…

Information Theory · Computer Science 2022-06-27 Rooji Jinan , Ajay Badita , Pradeep Sarvepalli , Parimal Parag

Network codes designed specifically for distributed storage systems have the potential to provide dramatically higher storage efficiency for the same availability. One main challenge in the design of such codes is the exact repair problem:…

Information Theory · Computer Science 2011-09-02 Dimitris S. Papailiopoulos , Jianqiang Luo , Alexandros G. Dimakis , Cheng Huang , Jin Li

A random access code (RAC) is a communication task in which the sender encodes a random message into a shorter one to be decoded by the receiver so that a randomly chosen character of the original message is recovered with some probability.…

Quantum Physics · Physics 2023-10-23 Gabriel Pereira Alves , Nicolas Gigena , Jędrzej Kaniewski

DNA sequences are prone to creating secondary structures by folding back on themselves by non-specific hybridization among its nucleotides. The formation of secondary structures makes the sequences chemically inactive towards synthesis and…

Information Theory · Computer Science 2022-11-30 Siddhartha Siddhiprada Bhoi , Paramapalli Udaya , Abhay Kumar Singh

A (tandem) duplication of length $ k $ is an insertion of an exact copy of a substring of length $ k $ next to its original position. This and related types of impairments are of relevance in modeling communication in the presence of…

Information Theory · Computer Science 2020-08-13 Mladen Kovačević , Vincent Y. F. Tan

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

Image and Video Processing · Electrical Eng. & Systems 2023-09-15 Xavier Pic , Melpomeni Dimopoulou , Eva Gil San Antonio , Marc Antonini

To equip DNA-based data storage with random-access capabilities, Yazdi et al. (2018) prepended DNA strands with specially chosen address sequences called primers and provided certain design criteria for these primers. We provide explicit…

Information Theory · Computer Science 2019-01-07 Yeow Meng Chee , Han Mao Kiah , Hengjia Wei

The maximum coverage problem is to select $k$ sets from a collection of sets such that the cardinality of the union of the selected sets is maximized. We consider $(1-1/e-\epsilon)$-approximation algorithms for this NP-hard problem in three…

Data Structures and Algorithms · Computer Science 2024-03-22 Amit Chakrabarti , Andrew McGregor , Anthony Wirth

We study data structures in the presence of adversarial noise. We want to encode a given object in a succinct data structure that enables us to efficiently answer specific queries about the object, even if the data structure has been…

Data Structures and Algorithms · Computer Science 2008-12-01 Ronald de Wolf