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The Bandwidth Problem seeks for a simultaneous permutation of the rows and columns of the adjacency matrix of a graph such that all nonzero entries are as close as possible to the main diagonal. This work focuses on investigating novel…

Optimization and Control · Mathematics 2021-07-07 Franz Rendl , Renata Sotirov , Christian Truden

We consider the problem of coding over the multi-user Interference Channel (IC). It is well-known that aligning the interfering signals results in improved achievable rates in certain setups involving more than two users. We argue that in…

Information Theory · Computer Science 2016-02-18 F. Shirani , S. S. Pradhan

Index coding achieves bandwidth savings by jointly encoding the messages demanded by all the clients in a broadcast channel. The encoding is performed in such a way that each client can retrieve its demanded message from its side…

Information Theory · Computer Science 2018-01-12 Lakshmi Natarajan , Prasad Krishnan , V. Lalitha

We consider generalisations of the dense coding protocol with an arbitrary number of senders and either one or two receivers, sharing a multiparty quantum state, and using a noiseless channel. For the case of a single receiver, the capacity…

Partial clique covering is one of the most basic coding schemes for index coding problems, generalizing clique and cycle covering on the side information digraph and further reducing the achievable broadcast rate. In this paper, we start…

Information Theory · Computer Science 2018-05-29 Xinping Yi , Giuseppe Caire

The index coding problem is a fundamental transmission problem which occurs in a wide range of multicast networks. Network coding over a large finite field size has been shown to be a theoretically efficient solution to the index coding…

Information Theory · Computer Science 2012-10-01 Jalaluddin Qureshi , Chuan Heng Foh , Jianfei Cai

We consider a broadcast scenario where one transmitter communicates with two receivers under quality-of-service constraints. The transmitter initially employs superposition coding strategies with arbitrarily distributed signals and sends…

Information Theory · Computer Science 2016-03-09 Marwan Hammouda , Sami Akin , Jürgen Peissig

Index coding and coded caching are two active research topics in information theory with strong ties to each other. Motivated by the multi-access coded caching problem, we study a new class of structured index coding problems (ICPs) which…

Information Theory · Computer Science 2021-11-17 Kota Srinivas Reddy , Nikhil Karamchandani

We study random linear network coding for broadcasting in time division duplexing channels. We assume a packet erasure channel with nodes that cannot transmit and receive information simultaneously. The sender transmits coded data packets…

Information Theory · Computer Science 2009-03-26 Daniel E. Lucani , Muriel Médard , Milica Stojanovic

This paper addresses the problem of reducing the delivery time of data messages to cellular users using instantly decodable network coding (IDNC) with physical-layer rate awareness. While most of the existing literature on IDNC does not…

Information Theory · Computer Science 2015-07-29 Ahmed Douik , Sameh Sorour , Tareq Y. Al-Naffouri , Mohamed-Slim Alouini

The problem of finding a spanning forest of a graph in a distributed-processing environment is studied. If an input graph is weighted, then the goal is to find a minimum-weight spanning forest. The processors communicate by broadcasting.…

Data Structures and Algorithms · Computer Science 2018-01-03 Bogdan S. Chlebus , Karol Golab , Dariusz R. Kowalski

In this paper, a new problem of transmitting information over the adversarial insertion-deletion channel with feedback is introduced. Suppose that the encoder transmits $n$ binary symbols one-by-one over a channel, in which some symbols can…

Information Theory · Computer Science 2022-01-12 Georg Maringer , Nikita Polyanskii , Ilya Vorobyev , Lorenz Welter

Index coding, or broadcasting with side information, is a network coding problem of most fundamental importance. In this problem, given a directed graph, each vertex represents a user with a need of information, and the neighborhood of each…

Information Theory · Computer Science 2016-05-02 Abhishek Agarwal , Arya Mazumdar

A novel inter-frame coding approach to the problem of varying channel-state conditions in broadcast wireless communication is developed in this paper; this problem causes the appropriate code-rate to vary across different transmitted frames…

Information Theory · Computer Science 2015-11-11 Hady Zeineddine , Mohammad M. Mansour

Communication channels are said to be underspread if their coherence time is greater than their delay spread. In such cases it can be shown that in the infinite bandwidth limit the information capacity tends to that of a channel with…

Information Theory · Computer Science 2014-06-24 Steven Herbert , Ian Wassell , Tian-Hong Loh

Linear operator broadcast channel (LOBC) models the scenario of multi-rate packet broadcasting over a network, when random network coding is applied. This paper presents the framework of algebraic coding for LOBCs and provides a…

Information Theory · Computer Science 2011-10-19 Yimin Pang , Thomas Honold

The scaling laws of the achievable communication rates and the corresponding upper bounds of distributed reception in the presence of an interfering signal are investigated. The scheme includes one transmitter communicating to a remote…

Information Theory · Computer Science 2009-12-08 Amichai Sanderovich , Michael Peleg , Shlomo Shamai

In this paper, we introduce the notion of Plausible Deniability in an information theoretic framework. We consider a scenario where an entity that eavesdrops through a broadcast channel summons one of the parties in a communication protocol…

Information Theory · Computer Science 2017-05-16 Mayank Bakshi , Vinod Prabhakaran

The min-rank of a digraph was shown by Bar-Yossef et al. (2006) to represent the length of an optimal scalar linear solution of the corresponding instance of the Index Coding with Side Information (ICSI) problem. In this work, the graphs…

Information Theory · Computer Science 2013-03-19 Son Hoang Dau , Vitaly Skachek , Yeow Meng Chee

We consider achieving the rates in the capacity region of a multi-level 3-receiver broadcast channel, in which the second receiver is degraded with respect to the first receiver, with degraded message sets. We propose a two-level chaining…

Information Theory · Computer Science 2020-10-15 Karthik Nagarjuna Tunuguntla , Paul H. Siegel
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