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This paper concerns with the construction of codes over $GF(2)$ which reach the max-flow for single source multicast acyclic networks with delay. The coding is always a bitwise XOR of packets with equal lengths, and is based on highly…

Information Theory · Computer Science 2020-02-14 Katina Kralevska , Danilo Gligoroski , Harald Oeverby

We consider distributed optimization over a $d$-dimensional space, where $K$ remote clients send coded gradient estimates over an {\em additive Gaussian Multiple Access Channel (MAC)} with noise variance $\sigma_z^2$. Furthermore, the…

Information Theory · Computer Science 2023-10-06 Shubham Jha

The problem of maximizing the average rate in a multicast network subject to a coverage constraint (minimum quality of service) is studied. Assuming the channel state information is available only at the receiver side and single antenna…

Information Theory · Computer Science 2008-05-29 Seyed Reza Mirghaderi , Alireza Bayesteh , Amir K. Khandani

We consider {\it i)} the overhead minimization of maximum-distance separable (MDS) storage codes for the repair of a single failed node and {\it ii)} the total secure degrees-of-freedom (S-DoF) maximization in a multiple-access compound…

Information Theory · Computer Science 2015-03-17 Dimitris S. Papailiopoulos , Alexandros G. Dimakis

In Index coding there is a single sender with multiple messages and multiple receivers each wanting a different set of messages and knowing a different set of messages a priori. The Index Coding problem is to identify the minimum number of…

Information Theory · Computer Science 2015-04-21 Kavitha. R , B. Sundar Rajan

In this paper, we characterize the fundamental limits of a communication system with three users (i.e., three transmitters) and a single receiver where communication from two covert users must remain undetectable to an external warden. Our…

Information Theory · Computer Science 2024-04-23 Abdelaziz Bounhar , Mireille Sarkiss , Michèle Wigger

User cooperation based multi-hop wireless communication networks (MH-WCNs) as the key communication technological component of mobile social networks (MSNs) should be exploited to enhance the capability of accumulating data rates and…

Information Theory · Computer Science 2014-12-23 Mugen Peng , Qiang Hu , Xinqian Xie , Zhongyuan Zhao , H. Vincent Poor

In distributed communication, each transmitter prepares an ensemble of channel codes. To encode a message, a transmitter chooses a channel code individually without sharing the coding choice with other transmitters or with the receiver.…

Information Theory · Computer Science 2018-05-08 Yanru Tang , Faeze Heydaryan , Jie Luo

We focus on the following instance of an index coding problem, where a set of receivers are required to decode multiple messages, whilst each knows one of the messages a priori. In particular, here we consider a generalized setting where…

Information Theory · Computer Science 2014-03-13 Lawrence Ong , Fabian Lim , Chin Keong Ho

This work considers the smart repeater network where a single source $s$ wants to send two independent packet streams to destinations $\{d_1,d_2\}$ with the help of relay $r$. The transmission from $s$ or $r$ is modeled by packet erasure…

Information Theory · Computer Science 2016-05-05 Jaemin Han , Chih-Chun Wang

A construction of expander codes is presented with the following three properties: (i) the codes lie close to the Singleton bound, (ii) they can be encoded in time complexity that is linear in their code length, and (iii) they have a…

Information Theory · Computer Science 2016-11-17 Ron M. Roth , Vitaly Skachek

A Maximum Distance Separable code over an alphabet $F$ is defined via an encoding function $C:F^k \rightarrow F^n$ that allows to retrieve a message $m \in F^k$ from the codeword $C(m)$ even after erasing any $n-k$ of its symbols. The…

Information Theory · Computer Science 2020-05-15 Mira Gonen , Ishay Haviv , Michael Langberg , Alex Sprintson

In distributed storage systems that use coding, the issue of minimizing the communication required to rebuild a storage node after a failure arises. We consider the problem of repairing an erased node in a distributed storage system that…

Information Theory · Computer Science 2010-09-20 Zhiying Wang , Alexandros G. Dimakis , Jehoshua Bruck

Due to the short and bursty incoming messages, channel access activities in a wireless random access system are often fractional. The lack of frequent data support consequently makes it difficult for the receiver to estimate and track the…

Information Theory · Computer Science 2011-10-11 Zheng Wang , Jie Luo

We introduce a new analysis technique to derive a single-letter upper bound on the mismatch capacity of a stationary, single-user, memoryless channel with a decoding metric $q$. Our bound is obtained by considering a multicast transmission…

Information Theory · Computer Science 2021-03-29 Anelia Somekh-Baruch

This paper provides comprehensive coding and outer bound for the half-duplex multiple access channel with generalized feedback (MAC-GF). Two users communicate with one destination over a discrete memoryless channel using time division. Each…

Information Theory · Computer Science 2011-08-02 Ahmad Abu Al Haija , Mai Vu

We derive an achievability bound to quantify the performance of a type-based unsourced multiple access system -- an information-theoretic model for grant-free multiple access with correlated messages. The bound extends available…

Information Theory · Computer Science 2025-04-29 Deekshith Pathayappilly Krishnan , Kaan Okumus , Khac-Hoang Ngo , Giuseppe Durisi

We study network coding gaps for the problem of makespan minimization of multiple unicasts. In this problem distinct packets at different nodes in a network need to be delivered to a destination specific to each packet, as fast as possible.…

Data Structures and Algorithms · Computer Science 2020-04-30 Bernhard Haeupler , David Wajc , Goran Zuzic

Maximum-distance separable (MDS) array codes with high rate and an optimal repair property were introduced recently. These codes could be applied in distributed storage systems, where they minimize the communication and disk access required…

Information Theory · Computer Science 2013-02-19 Eyal En Gad , Robert Mateescu , Filip Blagojevic , Cyril Guyot , Zvonimir Bandic

We explore the degrees of freedom of $M\times N$ user wireless $X$ networks, i.e. networks of $M$ transmitters and $N$ receivers where every transmitter has an independent message for every receiver. We derive a general outerbound on the…

Information Theory · Computer Science 2007-11-20 Viveck R. Cadambe , Syed A. Jafar