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An index coding problem arises when there is a single source with a number of messages and multiple receivers each wanting a subset of messages and knowing a different set of messages a priori. The noiseless Index Coding Problem is to…

Information Theory · Computer Science 2015-10-13 Kavitha R. , Niranjana Ambadi , B. Sundar Rajan

Consider a set of clients in a broadcast network, each of which holds a subset of packets in the ground set X. In the (coded) cooperative data exchange problem, the clients need to recover all packets in X by exchanging coded packets over a…

Information Theory · Computer Science 2015-10-06 Anoosheh Heidarzadeh , Alex Sprintson

The paper is devoted to the problem of erasure coding in distributed storage. We consider a model of storage that assumes that nodes are organized into equally sized groups, called racks, that within each group the nodes can communicate…

Information Theory · Computer Science 2019-01-15 Zitan Chen , Alexander Barg

The problem of network coding for multicasting a single source to multiple sinks has first been studied by Ahlswede, Cai, Li and Yeung in 2000, in which they have established the celebrated max-flow mini-cut theorem on non-physical…

Information Theory · Computer Science 2010-04-13 Te Sun Han

In this paper, a lower bound on the capacity of wireless ad hoc erasure networks is derived in closed form in the canonical case where $n$ nodes are uniformly and independently distributed in the unit area square. The bound holds almost…

Information Theory · Computer Science 2009-01-15 Rayyan G. Jaber , Jeffrey G. Andrews

Wireless cellular communication networks are bandwidth and interference limited. An important means to overcome these resource limitations is the use of multiple antennas. Base stations equipped with a very large (massive) number of…

Signal Processing · Electrical Eng. & Systems 2019-03-05 Uri Erez , Amir Leshem

A linear code with parameters $[n, k, n-k+1]$ is called a maximum distance separable (MDS for short) code. A linear code with parameters $[n, k, n-k]$ is said to be almost maximum distance separable (AMDS for short). A linear code is said…

Information Theory · Computer Science 2023-07-11 Zhonghua Sun , Cunsheng Ding

The problem of characterizing the capacity region for Gaussian broadcast channels with receiver message side information appears difficult and remains open for N >= 3 receivers. This paper proposes a joint network and Gelfand-Pinsker coding…

Information Theory · Computer Science 2014-08-21 Jin Sima , Wei Chen

The problem of computing a linear combination of sources over a multiple access channel is studied. Inner and outer bounds on the optimal tradeoff between the communication rates are established when encoding is restricted to random…

Information Theory · Computer Science 2018-10-30 Pinar Sen , Sung Hoon Lim , Young-Han Kim

We investigate the achievable rate of data transmission from sources to sinks through a multiple-relay network. We study achievable rates for omniscient coding, in which all nodes are considered in the coding design at each node. We find…

Information Theory · Computer Science 2010-04-15 Lawrence Ong , Mehul Motani

Multicast is a central challenge for emerging multi-hop wireless architectures such as wireless mesh networks, because of its substantial cost in terms of bandwidth. In this report, we study one specific case of multicast: broadcasting,…

Networking and Internet Architecture · Computer Science 2009-04-16 Song Yean Cho , Cédric Adjih , Philippe Jacquet

Massive machine type communication (mMTC) has attracted new coding schemes optimized for reliable short message transmission. In this paper, a novel deep learning-based near-orthogonal superposition (NOS) coding scheme is proposed to…

Information Theory · Computer Science 2022-07-01 Chenghong Bian , Chin-Wei Hsu , Changwoo Lee , Hun-Seok Kim

We show that the maximum possible energy benefit of network coding for multiple unicast on wireless networks is at least 3. This improves the previously known lower bound of 2.4 from [1].

Information Theory · Computer Science 2008-11-04 Jasper Goseling , Jos. H. Weber

A novel class of achievable rate regions is obtained for the K-receiver broadcast channel with two groupcast messages. The associated achievability schemes are parameterized by an expansion of the message set which then determines how…

Information Theory · Computer Science 2020-01-28 Mohamed Salman , Mahesh K. Varanasi

An open-loop single-user multiple-input multiple-output communication scheme is considered where a transmitter, equipped with multiple antennas, encodes the data into independent streams all taken from the same linear code. The coded…

Information Theory · Computer Science 2014-11-04 Or Ordentlich , Uri Erez

In this work, we examine cognitive radio networks, where secondary users may act as relays for messages sent by the primary user, hence offering performance improvement of primary transmissions, while at the same time obtaining more…

Information Theory · Computer Science 2019-08-29 Athanasios Papadopoulos , Nestor D. Chatzidiamantis , Leonidas Georgiadis

This work considers the problem of transmitting multiple compressible sources over a network at minimum cost. The aim is to find the optimal rates at which the sources should be compressed and the network flows using which they should be…

Information Theory · Computer Science 2009-08-13 Aditya Ramamoorthy

The network coding problem asks whether data throughput in a network can be increased using coding (compared to treating bits as commodities in a flow). While it is well-known that a network coding advantage exists in directed graphs, the…

Computational Complexity · Computer Science 2025-10-22 Mark Braverman , Zhongtian He

Maximum distance separable (MDS) array codes are XOR-based optimal erasure codes that are particularly suitable for use in disk arrays. This paper develops an innovative method to build MDS array codes from an elegant class of nested…

Information Theory · Computer Science 2016-11-18 Nattakan Puttarak , Phisan Kaewprapha , Boon Chong Ng , Jing , Li

In order to correct the pair-errors generated during the transmission of modern high-density data storage that the outputs of the channels consist of overlapping pairs of symbols, a new coding scheme named symbol-pair code is proposed. The…

Information Theory · Computer Science 2025-09-17 Xiujing Zheng , Liqi Wang , Shixin Zhu