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In this paper, a general algorithm is proposed for rate analysis and code design of linear index coding problems. Specifically a solution for minimum rank matrix completion problem over finite fields representing the linear index coding…

信息论 · 计算机科学 2014-08-14 Homa Esfahanizadeh , Farshad Lahouti , Babak Hassibi

A new inner bound on the capacity region of a general index coding problem is established. Unlike most existing bounds that are based on graph theoretic or algebraic tools, the bound is built on a random coding scheme and optimal decoding,…

信息论 · 计算机科学 2016-11-15 Fatemeh Arbabjolfaei , Bernd Bandemer , Young-Han Kim , Eren Sasoglu , Lele Wang

This work introduces a hypergraph formulation that generalizes the classical paradigm of Bar-Yossef et al. to the multi-sender index coding (MSIC) setting. Central to the model is a 4-regular side-information hypergraph G, a new adjacency…

信息论 · 计算机科学 2025-12-16 Ali Khalesi , Petros Elia

In this paper, linear index codes with multiple senders are studied, where every receiver receives encoded messages from all senders. A new fitting matrix for the multiple senders is proposed and it is proved that the minimum rank of the…

信息论 · 计算机科学 2019-09-19 Jae-Won Kim , Jong-Seon No

In pliable index coding (PICOD), a number of clients are connected via a noise-free broadcast channel to a server which has a list of messages. Each client has a unique subset of messages at the server as side-information, and requests for…

信息论 · 计算机科学 2025-12-12 Tulasi Sowjanya B. , Prasad Krishnan

Coded Caching is a promising solution to reduce the peak traffic in broadcast networks by prefetching the popular content close to end users and using coded transmissions. One of the chief issues of most coded caching schemes in literature…

信息论 · 计算机科学 2019-02-26 Hari Hara Suthan Chittoor , Bhavana M , Prasad Krishnan

We consider a MapReduce-type task running in a distributed computing model which consists of ${K}$ edge computing nodes distributed across the edge of the network and a Master node that assists the edge nodes to compute output functions.…

信息论 · 计算机科学 2020-10-22 Haoning Chen , Youlong Wu

Error-Correcting Output Codes (ECOCs) offer a principled approach for combining simple binary classifiers into multiclass classifiers. In this paper, we investigate the problem of designing optimal ECOCs to achieve both nominal and…

机器学习 · 计算机科学 2020-11-03 Samarth Gupta , Saurabh Amin

Mixed-integer programming (MIP) is a well-established framework for computer-aided molecular design (CAMD). By precisely encoding the molecular space and score functions, e.g., a graph neural network, the molecular design problem is…

计算工程、金融与科学 · 计算机科学 2024-11-26 Shiqiang Zhang , Christian W. Feldmann , Frederik Sandfort , Miriam Mathea , Juan S. Campos , Ruth Misener

An index code for a broadcast channel with receiver side information is 'locally decodable' if every receiver can decode its demand using only a subset of the codeword symbols transmitted by the sender instead of observing the entire…

信息论 · 计算机科学 2019-04-10 Smiju Kodamthuruthil Joy , Lakshmi Natarajan

The index coding problem is concerned with broadcasting encoded information to a collection of receivers in a way that enables each receiver to discover its required data based on its side information, which comprises the data required by…

数据结构与算法 · 计算机科学 2024-08-19 Dror Chawin , Ishay Haviv

This paper addresses the problem of constructing MDS codes that enable exact repair of each code block with small repair bandwidth, which refers to the total amount of information flow from the remaining code blocks during the repair…

信息论 · 计算机科学 2017-09-26 Ankit Singh Rawat , Itzhak Tamo , Venkatesan Guruswami , Klim Efremenko

Information leakage to a guessing adversary in index coding is studied, where some messages in the system are sensitive and others are not. The non-sensitive messages can be used by the server like secret keys to mitigate leakage of the…

信息论 · 计算机科学 2022-05-24 Yucheng Liu , Lawrence Ong , Phee Lep Yeoh , Parastoo Sadeghi , Joerg Kliewer , Sarah Johnson

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

Index coding models broadcast networks in which a sender sends different messages to different receivers simultaneously, where each receiver may know some of the messages a priori. The aim is to find the minimum (normalised) index…

信息论 · 计算机科学 2017-09-05 Lawrence Ong

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…

信息论 · 计算机科学 2018-10-16 Mohammed Karmoose , Linqi Song , Martina Cardone , Christina Fragouli

Recently, a novel coded compressed sensing (CCS) approach was proposed in [1] for dealing with the scalability problem for large sensing matrices in massive machine-type communications. The approach is to divide the compressed sensing (CS)…

网络与互联网体系结构 · 计算机科学 2021-09-01 Yi-Jheng Lin , Chia-Ming Chang , Cheng-Shang Chang

For index coding problems with special structure on the side-information graphs called Interlinked Cycle (IC) structures index codes have been proposed in the literature (C. Thapa, L. Ong, and S. Johnson, "Interlinked Cycles for Index…

信息论 · 计算机科学 2018-05-03 Shanuja Sasi , B. Sundar Rajan

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

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