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This letter investigates a new class of index coding problems. One sender broadcasts packets to multiple users, each desiring a subset, by exploiting prior knowledge of linear combinations of packets. We refer to this class of problems as…

Information Theory · Computer Science 2016-11-18 Namyoon Lee , Alexandros G. Dimakis , Robert W. Heath

We consider a broadcast channel with a degraded message set, in which a single transmitter sends a common message to two receivers and a private message to one of the receivers only. The main goal of this work is to find new lower bounds to…

Information Theory · Computer Science 2009-06-09 Yonatan Kaspi , Neri Merhav

We consider the function computation problem in a three node network with one encoder and two decoders. The encoder has access to two correlated sources $X$ and $Y$. The encoder encodes $X^n$ and $Y^n$ into a message which is given to two…

Information Theory · Computer Science 2016-10-05 Jithin Ravi , Bikash Kumar Dey

We consider a wireless broadcast station that transmits packets to multiple users. The packet requests for each user may overlap, and some users may already have certain packets. This presents a problem of broadcasting in the presence of…

Information Theory · Computer Science 2011-08-10 Michael J. Neely , Arash Saber Tehrani , Zhen Zhang

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

In this paper, we derive information-theoretic performance limits for three classes of two-user state-dependent discrete memoryless broadcast channels, with noncausal side-information at the encoder. The first class of channels comprises a…

Information Theory · Computer Science 2012-07-17 K. G. Nagananda , Chandra R. Murthy , Shalinee Kishore

This paper studies noisy index coding problems over single-input single-output broadcast channels. The codewords from a chosen index code of length $N$ are transmitted after $2^N$-PSK modulation over an AWGN channel. In "Index Coded PSK…

Information Theory · Computer Science 2023-05-23 Navya Saxena , Anjana A. Mahesh , B. Sundar Rajan

In pliable index coding (PICOD), a number of clients are connected via a noise-free broadcast channel to a server which has a list of messages. Each client has a unique subset of messages at the server as side-information, and requests for…

Information Theory · Computer Science 2025-12-12 Tulasi Sowjanya B. , Prasad Krishnan

Index coding, a source coding problem over broadcast channels, has been a subject of both theoretical and practical interest since its introduction (by Birk and Kol, 1998). In short, the problem can be defined as follows: there is an input…

Information Theory · Computer Science 2019-04-11 Abhishek Agarwal , Larkin Flodin , Arya Mazumdar

In this article we focus on the problem of channel decoding in presence of a-priori information. In particular, assuming that the a-priori information reliability is not perfectly estimated at the receiver, we derive a novel analytical…

Information Theory · Computer Science 2007-11-14 Andrea Abrardo

In Index Coding, the goal is to use a broadcast channel as efficiently as possible to communicate information from a source to multiple receivers which can possess some of the information symbols at the source as side-information. In this…

Information Theory · Computer Science 2017-11-20 Ashok Choudhary , Vamsi Krishna Gummadi , Prasad Krishnan

We address single-user data transmission over a channel where the received signal incurs interference from a finite number of users (interfering users) that use single codebooks for transmitting their own messages. The receiver, however, is…

Information Theory · Computer Science 2007-11-21 Abolfazl S. Motahari , Amir K. Khandani

We present nonasymptotic upper and lower bounds on the maximum coding rate achievable when transmitting short packets over a Rician memoryless block-fading channel for a given requirement on the packet error probability. We focus on the…

Information Theory · Computer Science 2017-12-19 Johan Östman , Giuseppe Durisi , Erik G. Ström , Mustafa C. Coşkun , Gianluigi Liva

We consider the N-user broadcast erasure channel with public feedback and side information. Before the beginning of transmission, each receiver knows a function of the messages of some of the other receivers. This situation arises naturally…

Information Theory · Computer Science 2014-06-16 A. Papadopoulos , L. Georgiadis

We consider broadcasting a block of packets to multiple wireless receivers under random packet erasures using instantly decodable network coding (IDNC). The sender first broadcasts each packet uncoded once, then generates coded packets…

Information Theory · Computer Science 2016-01-20 Mingchao Yu , Parastoo Sadeghi , Neda Aboutorab

We consider network coding for a noiseless broadcast channel where each receiver demands a subset of messages available at the transmitter and is equipped with noisy side information in the form an erroneous version of the message symbols…

Information Theory · Computer Science 2018-01-10 Suman Ghosh , Lakshmi Natarajan

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

This paper proposes a novel achievable scheme for the index problem and applies it to the caching problem. Index coding and caching are noiseless broadcast channel problems where receivers have message side information.In the index coding…

Information Theory · Computer Science 2017-02-24 Kai Wan , Daniela Tuninetti , Pablo Piantanida

In this paper, we derive information-theoretic performance limits for secure and reliable communications over the general two-user discrete memoryless broadcast channel with side-information at the transmitter. The sender wishes to…

Information Theory · Computer Science 2011-09-27 K. G. Nagananda , Chandra R Murthy , Shalinee Kishore

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