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相关论文: On Critical Index Coding Problems

200 篇论文

Decentralized Pliable Index Coding (DPIC) problem addresses efficient information exchange in distributed systems where clients communicate among themselves without a central server. An important consideration in DPIC is the heterogeneity…

信息论 · 计算机科学 2026-02-04 Anjali Padmanabhan , Danya Arun Bindhu , Nujoom Sageer Karat , Shanuja Sasi

We study the secure decentralized Pliable Index CODing (PICOD) problem with circular side information sets at the users. The security constraint forbids every user to decode more than one message while a decentralized setting means there is…

信息论 · 计算机科学 2020-10-21 Tang Liu , Daniela Tuninetti

We consider the N-user broadcast erasure channel with public feedback and side information. Before the beginning of transmission, each receiver knows a function of the messages of some of the other receivers. This situation arises naturally…

信息论 · 计算机科学 2014-06-16 A. Papadopoulos , L. Georgiadis

The problem of side-information scalable (SI-scalable) source coding is considered in this work, where the encoder constructs a progressive description, such that the receiver with high quality side information will be able to truncate the…

信息论 · 计算机科学 2007-08-01 Chao Tian , Suhas N. Diggavi

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…

信息论 · 计算机科学 2019-09-10 Tang Liu , Daniela Tuninetti

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…

信息论 · 计算机科学 2017-06-13 Chandra Thapa , Lawrence Ong , Sarah J. Johnson

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…

信息论 · 计算机科学 2023-02-07 Arman Sharififar , Parastoo Sadeghi , Neda Aboutorab

In index coding, a server broadcasts multiple messages to their respective receivers, each with some side information that can be utilized to reduce the amount of communication from the server. Distributed index coding is an extension of…

信息论 · 计算机科学 2020-04-07 Yucheng Liu , Parastoo Sadeghi , Fatemeh Arbabjolfaei , Young-Han Kim

Index Coding has received considerable attention recently motivated in part by real-world applications and in part by its connection to Network Coding. The basic setting of Index Coding encodes the problem input as an undirected graph and…

信息论 · 计算机科学 2011-07-14 Anna Blasiak , Robert Kleinberg , Eyal Lubetzky

In this work we study zero vs. epsilon-error capacity in network coding instances. For multicast network coding it is well known that all rates that can be delivered with arbitrarily small error probability can also be delivered with zero…

信息论 · 计算机科学 2015-03-19 Michael Langberg , Michelle Effros

Three science and engineering problems of recent interests -index coding, locally recoverable distributed storage, and guessing games on graphs- are discussed and the connection between their optimal solutions is elucidated. By generalizing…

信息论 · 计算机科学 2015-11-04 Fatemeh Arbabjolfaei , Young-Han Kim

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…

信息论 · 计算机科学 2016-11-18 Namyoon Lee , Alexandros G. Dimakis , Robert W. Heath

The following source coding problem was introduced by Birk and Kol: a sender holds a word $x\in\{0,1\}^n$, and wishes to broadcast a codeword to $n$ receivers, $R_1,...,R_n$. The receiver $R_i$ is interested in $x_i$, and has prior…

信息论 · 计算机科学 2008-06-12 Eyal Lubetzky , Uri Stav

Index coding achieves bandwidth savings by jointly encoding the messages demanded by all the clients in a broadcast channel. The encoding is performed in such a way that each client can retrieve its demanded message from its side…

信息论 · 计算机科学 2018-01-12 Lakshmi Natarajan , Prasad Krishnan , V. Lalitha

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

To tackle the expected enormous increase in mobile video traffic in cellular networks, an architecture involving a base station along with caching femto stations (referred to as helpers), storing popular files near users, has been proposed…

信息论 · 计算机科学 2013-11-19 Karthikeyan Shanmugam , Alexandros G. Dimakis , Giuseppe Caire

This paper studies a variant of the Pliable Index CODing (PICOD) problem, i.e., an index coding problem where a user can be satisfied by decoding any message that is not in its side information set, where communication is decentralized,…

信息论 · 计算机科学 2020-01-14 Tang Liu , Daniela Tuninetti

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…

信息论 · 计算机科学 2020-07-31 Lakshmi Natarajan , Prasad Krishnan , V. Lalitha , Hoang Dau

A strong edge colouring of a graph is an assignment of colours to the edges of the graph such that for every colour, the set of edges that are given that colour form an induced matching in the graph. The strong chromatic index of a graph…

组合数学 · 数学 2013-08-20 Manu Basavaraju , Mathew C. Francis

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…

信息论 · 计算机科学 2015-07-02 Lakshmi Natarajan , Yi Hong , Emanuele Viterbo