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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

The index coding problem is studied from an interference alignment perspective, providing new results as well as new insights into, and generalizations of, previously known results. An equivalence is established between multiple unicast…

Information Theory · Computer Science 2012-05-08 Hamed Maleki , Viveck R. Cadambe , Syed A. Jafar

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

A source coding problem over a noiseless broadcast channel where the source is pre-informed about the contents of the cache of all receivers, is an index coding problem. Furthermore, if each message is requested by one receiver, then we…

Information Theory · Computer Science 2017-06-13 Chandra Thapa , Lawrence Ong , Sarah J. Johnson

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

This letter investigates the role of index coding in the capacity of AWGN broadcast channels with receiver message side information. We first show that index coding is unnecessary where there are two receivers; multiplexing coding and…

Information Theory · Computer Science 2014-04-29 Behzad Asadi , Lawrence Ong , Sarah J. Johnson

A single unicast index coding problem (SUICP) is called symmetric neighboring and consecutive (SNC) side-information problem if it has $K$ messages and $K$ receivers, the $k$th receiver $R_{k}$ wanting the $k$th message $x_{k}$ and having…

Information Theory · Computer Science 2018-11-15 Mahesh Babu Vaddi , 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

An index code for broadcast channel with receiver side information is locally decodable if each receiver can decode its demand by observing only a subset of the transmitted codeword symbols instead of the entire codeword. Local decodability…

Information Theory · Computer Science 2020-07-31 Lakshmi Natarajan , Prasad Krishnan , V. Lalitha , Hoang Dau

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

Information Theory · Computer Science 2019-01-23 Mahesh Babu Vaddi , B. Sundar Rajan

The distributed index coding problem is studied, whereby multiple messages are stored at different servers to be broadcast to receivers with side information. First, the existing composite coding scheme is enhanced for the centralized…

Information Theory · Computer Science 2017-01-24 Yucheng Liu , Parastoo Sadeghi , Fatemeh Arbabjolfaei , Young-Han Kim

This paper considers a base station that delivers packets to multiple receivers through a sequence of coded transmissions. All receivers overhear the same transmissions. Each receiver may already have some of the packets as side…

Information Theory · Computer Science 2013-08-23 Hao Yu , Michael J. Neely

This paper studies pliable index coding, in which a sender broadcasts information to multiple receivers through a shared broadcast medium, and the receivers each have some message a priori and want any message they do not have. An approach,…

Information Theory · Computer Science 2019-10-02 Lawrence Ong , Badri N. Vellambi , Jörg Kliewer , Parastoo Sadeghi

In this paper, new index coding problems are studied, where each receiver has erroneous side information. Although side information is a crucial part of index coding, the existence of erroneous side information has not yet been considered.…

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

The capacity of symmetric, neighboring and consecutive side-information single unicast index coding problems (SNC-SUICP) with number of messages equal to the number of receivers was given by Maleki, Cadambe and Jafar. For these index coding…

Information Theory · Computer Science 2017-05-17 Mahesh Babu Vaddi , B. Sundar Rajan

We study the fundamental problem of index coding under an additional privacy constraint that requires each receiver to learn nothing more about the collection of messages beyond its demanded messages from the server and what is available to…

Information Theory · Computer Science 2020-06-02 Varun Narayanan , Jithin Ravi , Vivek K. Mishra , Bikash Kumar Dey , Nikhil Karamchandani , Vinod M. Prabhakaran

The index coding problem involves a sender with K messages to be transmitted across a broadcast channel, and a set of receivers each of which demands a subset of the K messages while having prior knowledge of a different subset as side…

Information Theory · Computer Science 2016-11-17 Lakshmi Natarajan , Yi Hong , Emanuele Viterbo

A single unicast index coding problem (SUICP) with symmetric neighboring and consecutive side-information (SNCS) has $K$ 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 2018-01-03 Mahesh Babu Vaddi , B. Sundar Rajan

We introduce the blind index coding (BIC) problem, in which a single sender communicates distinct messages to multiple users over a shared channel. Each user has partial knowledge of each message as side information. However, unlike classic…

Information Theory · Computer Science 2015-09-02 David T. H. Kao , Mohammad Ali Maddah-Ali , A. Salman Avestimehr

The index coding problem includes a server, a group of clients, and a set of data chunks. While each client wants a subset of the data chunks and already has another subset as its side information, the server transmits some uncoded data…

Information Theory · Computer Science 2021-01-01 Yu-Pin Hsu , I-Hong Hou , Alex Sprintson