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An index coding scheme in which the source (transmitter) transmits binary symbols over a wireless fading channel is considered. Index codes with the transmitter using minimum number of transmissions are known as optimal index codes.…

Information Theory · Computer Science 2015-04-14 Anoop Thomas , Kavitha R. , Chandramouli A. , B. Sundar Rajan

In index coding, a server broadcasts multiple messages to their respective receivers, each with some side information that can be utilized to reduce the amount of communication from the server. Distributed index coding is an extension of…

Information Theory · Computer Science 2020-04-07 Yucheng Liu , Parastoo Sadeghi , Fatemeh Arbabjolfaei , Young-Han Kim

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

In this work, we study the problem of index coding from graph homomorphism perspective. We show that the minimum broadcast rate of an index coding problem for different variations of the problem such as non-linear, scalar, and vector index…

Information Theory · Computer Science 2014-09-01 Javad B. Ebrahimi , Mahdi Jafari Siavoshani

We approach index coding as a special case of rate-distortion with multiple receivers, each with some side information about the source. Specifically, using techniques developed for the rate-distortion problem, we provide two upper bounds…

Information Theory · Computer Science 2015-07-28 Sinem Unal , Aaron B. Wagner

Motivated by applications in distributed storage and distributed computation, we introduce embedded index coding (EIC). EIC is a type of distributed index coding in which nodes in a distributed system act as both senders and receivers of…

Information Theory · Computer Science 2019-11-01 Alexandra Porter , Mary Wootters

The index coding problem is a fundamental transmission problem arising in content distribution and wireless networks. Traditional approach to solve this problem is to find heuristic/ approximation minimum clique partition solution on an…

Networking and Internet Architecture · Computer Science 2016-11-15 Jalaluddin Qureshi

This paper introduces the ${\it decentralized}$ Pliable Index CODing (PICOD) problem: a variant of the Index Coding (IC) problem, where a central transmitter serves ${\it pliable}$ users with message side information; here, pliable refers…

Information Theory · Computer Science 2019-04-11 Tang Liu , Daniela Tuninetti

The index coding problem aims to optimise broadcast communication by taking advantage of receiver-side information to improve transmission efficiency. In this letter, we explore the application of Construction $\pi_A$ lattices to index…

Information Theory · Computer Science 2025-01-28 Juliana G. F. Souza , Sueli I. R. Costa

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 consider the problem of minimizing the number of broadcasts for collecting all sensor measurements at a sink node in a noisy broadcast sensor network. Focusing first on arbitrary network topologies, we provide (i) fundamental limits on…

Information Theory · Computer Science 2017-02-01 Yaoqing Yang , Soummya Kar , Pulkit Grover

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

In this paper, linear index codes with multiple senders are studied, where every receiver receives encoded messages from all senders. A new fitting matrix for the multiple senders is proposed and it is proved that the minimum rank of the…

Information Theory · Computer Science 2019-09-19 Jae-Won Kim , Jong-Seon No

In the index coding problem a sender holds a message $x \in \{0,1\}^n$ and wishes to broadcast information to $n$ receivers in a way that enables the $i$th receiver to retrieve the $i$th bit $x_i$. Every receiver has prior side information…

Information Theory · Computer Science 2020-04-27 Ishay Haviv

A single unicast index coding problem (SUICP) with symmetric neighboring interference (SNI) has equal number of $K$ messages and $K$ receivers, the $k$th receiver $R_{k}$ wanting the $k$th message $x_{k}$ and having the side-information…

Information Theory · Computer Science 2017-05-31 Mahesh Babu Vaddi , B. Sundar Rajan

This paper studies a variant of the Pliable Index CODing (PICOD) problem, i.e., an index coding problem where a user can be satisfied by decoding any message that is not in its side information set, where communication is decentralized,…

Information Theory · Computer Science 2020-01-14 Tang Liu , Daniela Tuninetti

In the traditional index coding problem, a server employs coding to send messages to $n$ clients within the same broadcast domain. Each client already has some messages as side information and requests a particular unknown message from the…

Information Theory · Computer Science 2018-09-25 Mohammed Karmoose , Linqi Song , Martina Cardone , Christina Fragouli

Decentralized Pliable Index Coding (DPIC) problem addresses efficient information exchange in distributed systems where clients communicate among themselves without a central server. An important consideration in DPIC is the heterogeneity…

Information Theory · Computer Science 2026-02-04 Anjali Padmanabhan , Danya Arun Bindhu , Nujoom Sageer Karat , Shanuja Sasi

The advent of network coding presents promising opportunities in many areas of communication and networking. It has been recently shown that network coding technique can significantly increase the overall throughput of wireless networks by…

Information Theory · Computer Science 2007-07-13 Salim Y. El Rouayheb , Mohammad Asad R. Chaudhry , Alex Sprintson

We characterise bounds on the optimal broadcast rate for a few classes of pliable-index-coding instances. Unlike the majority of currently solved instances, which belong to a special class where all receivers with a certain side-information…

Information Theory · Computer Science 2025-12-09 Lawrence Ong , Badri N. Vellambi , Parastoo Sadeghi , Jörg Kliewer