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Network coding is a new technique to transmit data through a network by letting the intermediate nodes combine the packets they receive. Given a network, the network coding solvability problem decides whether all the packets requested by…

信息论 · 计算机科学 2013-07-24 Maximilien Gadouleau

We consider network coding for a noiseless broadcast channel where each receiver demands a subset of messages available at the transmitter and is equipped with noisy side information in the form an erroneous version of the message symbols…

信息论 · 计算机科学 2018-01-10 Suman Ghosh , Lakshmi Natarajan

We consider the problem of coding over the multi-user Interference Channel (IC). It is well-known that aligning the interfering signals results in improved achievable rates in certain setups involving more than two users. We argue that in…

信息论 · 计算机科学 2016-02-18 F. Shirani , S. S. Pradhan

Constrained coding is a fundamental field in coding theory that tackles efficient communication through constrained channels. While channels with fixed constraints have a general optimal solution, there is increasing demand for parametric…

信息论 · 计算机科学 2023-04-05 Daniella Bar-Lev , Adir Kobovich , Orian Leitersdorf , Eitan Yaakobi

Entanglement-assisted classical communication (EACC) aims to enhance communication systems using entanglement as an additional resource. However, there is a scarcity of explicit protocols designed for finite transmission scenarios, which…

量子物理 · 物理学 2025-02-04 Tushita Prasad , Markus Grassl

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,…

信息论 · 计算机科学 2019-06-20 Chandra Thapa , Lawrence Ong , Sarah J. Johnson , Min Li

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.…

信息论 · 计算机科学 2015-04-14 Anoop Thomas , Kavitha R. , Chandramouli A. , B. Sundar Rajan

The problem of three-user multiple-access channel (MAC) with noiseless feedback is investigated. A new coding strategy is presented. The coding scheme builds upon the natural extension of the Cover-Leung (CL) scheme; and uses quasi-linear…

信息论 · 计算机科学 2017-02-21 Mohsen Heidari , Farhad Shirani , S. Sandeep Pradhan

Index coding is a source coding problem in which a broadcaster seeks to meet the different demands of several users, each of whom is assumed to have some prior information on the data held by the sender. If the sender knows its clients'…

信息论 · 计算机科学 2016-07-20 Eimear Byrne , Marco Calderini

We introduce the cycle intersection graph of a graph, an adaptation of the cycle graph of a graph, and use the structure of these graphs to prove an upper bound for the decycling number of all even graphs. This bound is shown to be…

组合数学 · 数学 2018-10-11 Michael Cary

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…

信息论 · 计算机科学 2018-09-25 Mohammed Karmoose , Linqi Song , Martina Cardone , Christina Fragouli

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…

信息论 · 计算机科学 2018-11-15 Mahesh Babu Vaddi , B. Sundar Rajan

Coded distributed computing has been considered as a promising technique which makes large-scale systems robust to the "straggler" workers. Yet, practical system models for distributed computing have not been available that reflect the…

信息论 · 计算机科学 2019-01-17 Muah Kim , Jy-yong Sohn , Jaekyun Moon

An index coding problem is called unicast-uniprior when each receiver demands a unique subset of messages while knowing another unique subset of messages apriori as side-information. In this work, we give an algorithm to compute the minrank…

信息论 · 计算机科学 2019-01-16 Niranjana Ambadi

The \emph{index coding} problem has recently attracted a significant attention from the research community due to its theoretical significance and applications in wireless ad-hoc networks. An instance of the index coding problem includes a…

信息论 · 计算机科学 2008-10-02 Salim Y. El Rouayheb , Alex Sprintson , Costas N. 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…

信息论 · 计算机科学 2014-02-05 Abhik Kumar Das , Siddhartha Banerjee , Sriram Vishwanath

The longest induced (or chordless) cycle problem is a graph problem classified as NP-complete and involves the task of determining the largest possible subset of vertices within a graph in such a way that the induced subgraph forms a cycle.…

离散数学 · 计算机科学 2023-11-28 Ahmad T. Anaqreh , Boglárka G. -Tóth , Tamás Vinkó

Index codes reduce the number of bits broadcast by a wireless transmitter to a number of receivers with different demands and with side information. It is known that the problem of finding optimal linear index codes is NP-hard. We…

信息论 · 计算机科学 2015-04-28 Xiao Huang , Salim El Rouayheb

Security aspects of the Index Coding with Side Information (ICSI) problem are investigated. Building on the results of Bar-Yossef et al. (2006), the properties of linear coding schemes for the ICSI problem are further explored. The notion…

信息论 · 计算机科学 2010-11-29 Son Hoang Dau , Vitaly Skachek , Yeow Meng Chee

We present a capacity-achieving coding scheme for unicast or multicast over lossy packet networks. In the scheme, intermediate nodes perform additional coding yet do not decode nor even wait for a block of packets before sending out coded…

信息论 · 计算机科学 2008-04-11 Desmond S. Lun , Muriel Medard , Ralf Koetter , Michelle Effros