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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

In this paper we show that the Index Coding problem captures several important properties of the more general Network Coding problem. An instance of the Index Coding problem includes a server that holds a set of information messages…

Information Theory · Computer Science 2008-05-12 Salim El Rouayheb , Alex Sprintson , Costas Georghiades

We consider the problem of linear network coding over communication networks, representable by directed acyclic graphs, with multiple groupcast sessions: the network comprises of multiple destination nodes, each desiring messages from…

Information Theory · Computer Science 2014-02-05 Abhik Kumar Das , Siddhartha Banerjee , Sriram Vishwanath

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

A novel class of achievable rate regions is obtained for the K-receiver broadcast channel with two groupcast messages. The associated achievability schemes are parameterized by an expansion of the message set which then determines how…

Information Theory · Computer Science 2020-01-28 Mohamed Salman , Mahesh K. Varanasi

A problem of index coding with side information was first considered by Y. Birk and T. Kol (IEEE INFOCOM, 1998). In the present work, a generalization of index coding scheme, where transmitted symbols are subject to errors, is studied.…

Information Theory · Computer Science 2011-05-17 Son Hoang Dau , Vitaly Skachek , Yeow Meng Chee

A problem of index coding with side information was first considered by Y. Birk and T. Kol (IEEE INFOCOM, 1998). In the present work, a generalization of index coding scheme, where transmitted symbols are subject to errors, is studied.…

Information Theory · Computer Science 2011-01-17 Son Hoang Dau , Vitaly Skachek , Yeow Meng Chee

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

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 paper considers the problem of single-server Individually-Private Information Retrieval with side information (IPIR). In this problem, there is a remote server that stores a dataset of $K$ messages, and there is a user that initially…

Information Theory · Computer Science 2022-02-25 Anoosheh Heidarzadeh , Alex Sprintson

In the Uncoordinated Unique Identifiers Problem (UUIDP) there are $n$ independent instances of an algorithm $\mathcal{A}$ that generates IDs from a universe $\{1, \dots, m\}$, and there is an adversary that requests IDs from these…

Data Structures and Algorithms · Computer Science 2023-04-17 Peter C. Dillinger , Martín Farach-Colton , Guido Tagliavini , Stefan Walzer

The worst-case robust adaptive beamforming problem for general-rank signal model is considered. Its formulation is to maximize the worst-case signal-to-interference-plus-noise ratio (SINR), incorporating a positive semidefinite constraint…

Signal Processing · Electrical Eng. & Systems 2018-05-15 Yongwei Huang , Sergiy A. Vorobyov

The Pliable Index CODing (PICOD) problem is a variant of the Index Coding (IC) problem, where the desired messages by the users, who are equipped with message side information, is part of the optimization. This paper studies the PICOD…

Information Theory · Computer Science 2019-09-10 Tang Liu , Daniela Tuninetti

We study upper bounds on the sum-rate of multiple-unicasts. We approximate the Generalized Network Sharing Bound (GNS cut) of the multiple-unicasts network coding problem with $k$ independent sources. Our approximation algorithm runs in…

Information Theory · Computer Science 2015-11-17 Karthikeyan Shanmugam , Megasthenis Asteris , Alexandros G. Dimakis

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

Distributed Orthogonal Space-Time Block Codes (DOSTBCs) achieving full diversity order and single-symbol ML decodability have been introduced recently for cooperative networks and an upper-bound on the maximal rate of such codes along with…

Information Theory · Computer Science 2007-08-31 J. Harshan , B. Sundar Rajan

An index coding (IC) problem consisting of a server and multiple receivers with different side-information and demand sets can be equivalently represented using a fitting matrix. A scalar linear index code to a given IC problem is a matrix…

Information Theory · Computer Science 2017-04-04 Vamsi Krishna Gummadi , Ashok Choudhary , Prasad Krishnan

Pliable index coding considers a server with m messages, and n clients where each has as side information a subset of the messages. We seek to minimize the number of transmissions the server should make, so that each client receives (any)…

Information Theory · Computer Science 2016-01-22 Linqi Song , Christina Fragouli

This work is motivated by the problem of error correction in bit-shift channels with the so-called $ (d,k) $ input constraints (where successive $ 1 $'s are required to be separated by at least $ d $ and at most $ k $ zeros, $ 0 \leq d < k…

Information Theory · Computer Science 2020-08-13 Mladen Kovačević

In the Survivable Network Design problem (SNDP), we are given an undirected graph $G(V,E)$ with costs on edges, along with a connectivity requirement $r(u,v)$ for each pair $u,v$ of vertices. The goal is to find a minimum-cost subset $E^*$…

Data Structures and Algorithms · Computer Science 2008-12-24 Julia Chuzhoy , Sanjeev Khanna