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An index code is said to be locally decodable if each receiver can decode its demand using its side information and by querying only a subset of the transmitted codeword symbols instead of observing the entire codeword. Local decodability…

Information Theory · Computer Science 2019-01-18 Lakshmi Natarajan , Hoang Dau , Prasad Krishnan , V. Lalitha

This paper studies index coding with two senders. In this setup, source messages are distributed among the senders possibly with common messages. In addition, there are multiple receivers, with each receiver having some messages a priori,…

Information Theory · Computer Science 2019-06-20 Chandra Thapa , Lawrence Ong , Sarah J. Johnson , Min Li

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

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

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

Insufficiency of linear coding for the network coding problem was first proved by providing an instance which is solvable only by nonlinear network coding (Dougherty et al., 2005).Based on the work of Effros, et al., 2015, this specific…

Information Theory · Computer Science 2023-02-07 Arman Sharififar , Parastoo Sadeghi , Neda Aboutorab

The groupcast index coding problem is the most general version of the classical index coding problem, where any receiver can demand messages that are also demanded by other receivers. Any groupcast index coding problem is described by its…

Information Theory · Computer Science 2019-01-21 Chinmayananda Arunachala , B. Sundar Rajan

The source-coding problem with side information at the decoder is studied subject to a constraint that the encoder---to whom the side information is unavailable---be able to compute the decoder's reconstruction sequence to within some…

Information Theory · Computer Science 2016-11-15 Amos Lapidoth , Andreas Malär , Michèle Wigger

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

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

A new variant of index coding problem termed as Pliable Index Coding Problem (PICOD) is formulated in [S. Brahma, C. Fragouli, "Pliable index coding", IEEE Transactions on Information Theory, vol. 61, no. 11, pp. 6192-6203, 2015]. In PICOD,…

Information Theory · Computer Science 2019-01-18 Shanuja Sasi , B. Sundar Rajan

Caching is an efficient way to reduce network traffic congestion during peak hours, by storing some content at the user's local cache memory, even without knowledge of user's later demands. Maddah-Ali and Niesen proposed a two-phase…

Information Theory · Computer Science 2020-01-15 Kai Wan , Daniela Tuninetti , Pablo Piantanida

We consider a secure source coding problem with side information (S.I.) at the decoder and the eavesdropper. The encoder has a source that it wishes to describe with limited distortion through a rate limited link to a legitimate decoder.…

Information Theory · Computer Science 2013-07-04 Yeow-Khiang Chia , Kittipong Kittichokechai

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

A lossy source coding problem is studied in which a source encoder communicates with two decoders, one with and one without correlated side information with an additional constraint on the privacy of the side information at the uninformed…

Information Theory · Computer Science 2011-06-13 Ravi Tandon , Lalitha Sankar , H. Vincent Poor

In this paper we consider noisy index coding problem over AWGN channel. We give an algorithm to map the index coded bits to appropriate sized PSK symbols such that for the given index code, in general, the receiver with large amount of side…

Information Theory · Computer Science 2015-10-06 Anjana A. M. , B. Sundar Rajan

Exponential error bounds for the finite-alphabet interference channel (IFC) with two transmitter-receiver pairs, are investigated under the random coding regime. Our focus is on optimum decoding, as opposed to heuristic decoding rules that…

Information Theory · Computer Science 2008-10-14 Raul Etkin , Neri Merhav , Erik Ordentlich

We consider the special case of index coding over the Gaussian broadcast channel where each receiver has prior knowledge of a subset of messages at the transmitter and demands all the messages from the source. We propose a concatenated…

Information Theory · Computer Science 2015-07-02 Lakshmi Natarajan , Yi Hong , Emanuele Viterbo

The capacity of symmetric instance of the multiple unicast index coding problem with neighboring antidotes (side-information) with number of messages equal to the number of receivers was given by Maleki, Cadambe and Jafar. In this paper we…

Information Theory · Computer Science 2015-10-20 Mahesh Babu Vaddi , Roop Kumar Bhattaram , B. Sundar Rajan

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