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Sorting networks are oblivious sorting algorithms with many practical applications and rich theoretical properties. Propositional encodings of sorting networks are a key tool for proving concrete bounds on the minimum number of comparators…

Data Structures and Algorithms · Computer Science 2018-07-17 José A. R. Fonollosa

While every network node only relays messages in a traditional communication system, the recent network coding (NC) paradigm proposes to implement simple in-network processing with packet combinations in the nodes. NC extends the concept of…

Multimedia · Computer Science 2016-11-15 Enrico Magli , Mea Wang , Pascal Frossard , Athina Markopoulou

We present a capacity-achieving coding scheme for unicast or multicast over lossy packet networks. In the scheme, intermediate nodes perform additional coding yet do not decode nor even wait for a block of packets before sending out coded…

Information Theory · Computer Science 2008-04-11 Desmond S. Lun , Muriel Medard , Ralf Koetter , Michelle Effros

We consider the problem of coded distributed computing where a large linear computational job, such as a matrix multiplication, is divided into $k$ smaller tasks, encoded using an $(n,k)$ linear code, and performed over $n$ distributed…

Information Theory · Computer Science 2021-10-06 Mahdi Soleymani , Mohammad Vahid Jamali , Hessam Mahdavifar

This paper investigates low-latency streaming codes for a three-node relay network. The source transmits a sequence of messages (streaming messages) to the destination through the relay between them, where the first-hop channel from the…

Information Theory · Computer Science 2022-03-14 Silas L. Fong , Ashish Khisti , Baochun Li , Wai-Tian Tan , Xiaoqing Zhu , John Apostolopoulos

Semantic communications are considered a promising beyond-Shannon/bit paradigm to reduce network traffic and increase reliability, thus making wireless networks more energy efficient, robust, and sustainable. However, the performance is…

This article introduces a novel communication scheme, termed coded compressed sensing, for unsourced multiple-access communication. The proposed divide-and-conquer approach leverages recent advances in compressed sensing and forward error…

Signal Processing · Electrical Eng. & Systems 2019-06-26 Vamsi K. Amalladinne , Jean-Francois Chamberland , Krishna R. Narayanan

We consider a communication problem in which the receiver must first detect the presence of an information packet and, if detected, decode the message carried within it. We present general nonasymptotic upper and lower bounds on the maximum…

Information Theory · Computer Science 2021-09-29 Alejandro Lancho , Johan Östman , Giuseppe Durisi

Subsystem codes protect quantum information by encoding it in a tensor factor of a subspace of the physical state space. Subsystem codes generalize all major quantum error protection schemes, and therefore are especially versatile. This…

Quantum Physics · Physics 2008-11-11 Salah A. Aly , Andreas Klappenecker

The secrecy capacity of a network, for a given collection of permissible wiretap sets, is the maximum rate of communication such that observing links in any permissible wiretap set reveals no information about the message. This paper…

Information Theory · Computer Science 2016-11-17 Tao Cui , Tracey Ho , Joerg Kliewer

For the additive white Gaussian noise channel with average codeword power constraint, new coding methods are devised in which the codewords are sparse superpositions, that is, linear combinations of subsets of vectors from a given design,…

Information Theory · Computer Science 2010-06-21 Andrew R. Barron , Antony Joseph

Under the emerging network coding paradigm, intermediate nodes in the network are allowed not only to store and forward packets but also to process and mix different data flows. We propose a low-complexity cryptographic scheme that exploits…

Cryptography and Security · Computer Science 2016-11-17 Joao P. Vilela , Luisa Lima , Joao Barros

Network coding is known to improve the throughput and the resilience to losses in most network scenarios. In a practical network scenario, however, the accurate modeling of the traffic is often too complex and/or infeasible. The goal is…

Information Theory · Computer Science 2009-08-25 Anoosheh Heidarzadeh , Amir H. Banihashemi

Maddah-Ali and Niesen's original coded caching scheme for shared-link broadcast networks is now known to be optimal to within a factor two, and has been applied to other types of networks. For practical reasons, this paper considers that a…

Information Theory · Computer Science 2018-04-06 Kai Wan , Mingyue Ji , Pablo Piantanida , Daniela Tuninetti

Motivated by systems where the information is represented by a graph, such as neural networks, associative memories, and distributed systems, we present in this work a new class of codes, called codes over graphs. Under this paradigm, the…

Information Theory · Computer Science 2017-05-25 Lev Yohananov , Eitan Yaakobi

Content delivery networks often employ caching to reduce transmission rates from the central server to the end users. Recently, the technique of coded caching was introduced whereby coding in the caches and coded transmission signals from…

Information Theory · Computer Science 2016-02-16 Hooshang Ghasemi , Aditya Ramamoorthy

In the practical network communications, many internal nodes in the network are required to not only transmit messages but decode source messages. For different applications, four important classes of linear network codes in network coding…

Information Theory · Computer Science 2013-12-02 Xuan Guang , Fang-Wei Fu

Traditional network security protocols depend mainly on developing cryptographic schemes and on using biometric methods. These have led to several network security protocols that are unbreakable based on difficulty of solving untractable…

Networking and Internet Architecture · Computer Science 2010-12-24 Salah A. Aly , Nirwan Ansari , H. Vincent Poor

Subsystem codes are a generalization of noiseless subsystems, decoherence free subspaces, and quantum error-correcting codes. We prove a Singleton bound for GF(q)-linear subsystem codes. It follows that no subsystem code over a prime field…

Quantum Physics · Physics 2009-11-13 Andreas Klappenecker , Pradeep Kiran Sarvepalli

In this paper, we study the data gathering problem in the context of power grids by using a network of sensors, where the sensed data have inter-node redundancy. Specifically, we propose a new transmission method, calledquantized network…

Information Theory · Computer Science 2012-10-29 Mahdy Nabaee , Fabrice Labeau
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