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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

Given a noiseless protocol $\pi_0$ computing a function $f(x, y)$ of Alice and Bob's private inputs $x, y$, the goal of interactive coding is to construct an error-resilient protocol $\pi$ computing $f$ such that even if some fraction of…

Data Structures and Algorithms · Computer Science 2022-07-05 Meghal Gupta , Rachel Yun Zhang

In the application of linear network coding to wireless broadcasting with feedback, we prove that the problem of determining the existence of an innovative encoding vector is NP-complete when the finite field size is two. When the finite…

Information Theory · Computer Science 2016-11-17 Ho Yuet Kwan , Kenneth W. Shum , Chi Wan Sung

Random linear network coding is a particularly decentralized approach to the multicast problem. Use of random network codes introduces a non-zero probability however that some sinks will not be able to successfully decode the required…

Information Theory · Computer Science 2007-07-13 Adria Tauste-Campo , Alex Grant

We consider a setting of non-cooperative communication where a receiver wants to recover randomly generated sequences of symbols that are observed by a strategic sender. The sender aims to maximize an average utility that may not align with…

Information Theory · Computer Science 2025-03-03 Anuj S. Vora , Ankur A. Kulkarni

Recently, a new class of error-control codes, the polar codes, have attracted much attention. The polar codes are the first known class of capacity-achieving codes for many important communication channels. In addition, polar codes have…

Information Theory · Computer Science 2012-11-19 Xudong Ma

In this paper, we generalize the well-known index coding problem to exploit the structure in the source-data to improve system throughput. In many applications, the data to be transmitted may lie (or can be well approximated) in a…

Information Theory · Computer Science 2017-04-11 Bhavya Kailkhura , Lakshmi Narasimhan Theagarajan , Pramod K. Varshney

A private compression design problem is studied, where an encoder observes useful data $Y$, wishes to compress it using variable length code and communicates it through an unsecured channel. Since $Y$ is correlated with private attribute…

Information Theory · Computer Science 2024-03-27 Amirreza Zamani , Tobias J. Oechtering , Deniz Gündüz , Mikael Skoglund

It was recently observed in [1], that in index coding, learning the coding matrix used by the server can pose privacy concerns: curious clients can extract information about the requests and side information of other clients. One approach…

Information Theory · Computer Science 2018-10-16 Mohammed Karmoose , Linqi Song , Martina Cardone , Christina Fragouli

In the presence of multiple senders, one of the simplest decoding strategies that can be employed by a receiver is successive decoding. In a successive decoding strategy, the receiver decodes the messages one at a time using the knowledge…

Information Theory · Computer Science 2012-07-04 Omar Fawzi , Ivan Savov

A status updating system is considered in which a variable length code is used to transmit messages to a receiver over a noisy channel. The goal is to optimize the codewords lengths such that successfully-decoded messages are timely. That…

Information Theory · Computer Science 2021-02-16 Ahmed Arafa , Richard D. Wesel

In this paper, we propose a new scalar linear coding scheme for the index coding problem called update-based maximum column distance (UMCD) coding scheme. The central idea in each transmission is to code messages such that one of the…

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

Vehicle to Vehicle (V2V) communication phase is an integral part of collaborative message dissemination in vehicular ad-hoc networks (VANETs). In this work, we apply index coding techniques to reduce the number of transmissions required for…

Information Theory · Computer Science 2020-07-02 Jesy Pachat , Nujoom Sageer Karat , Deepthi P. P. , B. Sundar Rajan

We propose a modified iterative bounded distance decoding of product codes. The proposed algorithm is based on exchanging hard messages iteratively and exploiting channel reliabilities to make hard decisions at each iteration. Performance…

Information Theory · Computer Science 2018-05-15 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva

Characterization of the delay profile of systems employing random linear network coding is important for the reliable provision of broadcast services. Previous studies focused on network coding over large finite fields or developed Markov…

Information Theory · Computer Science 2022-03-08 Ioannis Chatzigeorgiou , Andrea Tassi

A communication link aided by a reconfigurable intelligent surface (RIS) is studied in which the transmitter can control the state of the RIS via a finite-rate control link. Channel state information (CSI) is acquired at the receiver based…

Information Theory · Computer Science 2020-12-02 Roy Karasik , Osvaldo Simeone , Marco Di Renzo , Shlomo Shamai

It has been found that the signal can be encoded in the choice of the measurement basis of one of the communicating parties, while the outcomes of the measurement are irrelevant for the communication and therefore may be discarded. The…

Quantum Physics · Physics 2015-06-17 Dong Xie , An Min Wang

The index coding problem is a problem of efficient broadcasting with side-information. We look at the uniprior index coding problem, in which the receivers have disjoint side-information symbols and arbitrary demand sets. Previous work has…

Information Theory · Computer Science 2017-01-24 Vijaya Kumar Mareedu , Prasad Krishnan

This paper investigates adaptive streaming codes over a three-node relayed network. In this setting, a source transmits a sequence of message packets through a relay under a delay constraint of $T$ time slots per packet. The source-to-relay…

Information Theory · Computer Science 2024-01-29 Muhammad Ahmad Kaleem , Gustavo Kasper Facenda , Ashish Khisti

This paper considers the problem of covert communication with mismatched decoding, in which a sender wishes to reliably communicate with a receiver whose decoder is fixed and possibly sub-optimal, and simultaneously to ensure that the…

Information Theory · Computer Science 2021-11-11 Qiaosheng Zhang , Vincent Y. F. Tan