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The min-rank of a digraph was shown by Bar-Yossef et al. (2006) to represent the length of an optimal scalar linear solution of the corresponding instance of the Index Coding with Side Information (ICSI) problem. In this work, the graphs…

信息论 · 计算机科学 2013-03-19 Son Hoang Dau , Vitaly Skachek , Yeow Meng Chee

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

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

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.…

信息论 · 计算机科学 2011-05-17 Son Hoang Dau , Vitaly Skachek , Yeow Meng Chee

In this paper, new index coding problems are studied, where each receiver has erroneous side information. Although side information is a crucial part of index coding, the existence of erroneous side information has not yet been considered.…

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

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 index codes are further explored. The notion of weak security,…

信息论 · 计算机科学 2011-02-15 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.…

信息论 · 计算机科学 2011-01-17 Son Hoang Dau , Vitaly Skachek , Yeow Meng Chee

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

In Index Coding, the goal is to use a broadcast channel as efficiently as possible to communicate information from a source to multiple receivers which can possess some of the information symbols at the source as side-information. In this…

信息论 · 计算机科学 2017-11-20 Ashok Choudhary , Vamsi Krishna Gummadi , Prasad Krishnan

Index coding, or broadcasting with side information, is a network coding problem of most fundamental importance. In this problem, given a directed graph, each vertex represents a user with a need of information, and the neighborhood of each…

信息论 · 计算机科学 2016-05-02 Abhishek Agarwal , Arya Mazumdar

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…

信息论 · 计算机科学 2017-01-24 Vijaya Kumar Mareedu , Prasad Krishnan

We approach index coding as a special case of rate-distortion with multiple receivers, each with some side information about the source. Specifically, using techniques developed for the rate-distortion problem, we provide two upper bounds…

信息论 · 计算机科学 2015-07-28 Sinem Unal , Aaron B. Wagner

A variant of the index coding problem (ICP), the embedded index coding problem (EICP) was introduced in [A. Porter and M. Wootters, "Embedded index coding," ITW, Sweden, 2019] which was motivated by its application in distributed computing…

信息论 · 计算机科学 2020-10-30 Shanuja Sasi , Vaneet Aggarwal , B. Sundar Rajan

The index coding problem aims to optimise broadcast communication by taking advantage of receiver-side information to improve transmission efficiency. In this letter, we explore the application of Construction $\pi_A$ lattices to index…

信息论 · 计算机科学 2025-01-28 Juliana G. F. Souza , Sueli I. R. Costa

The length of an optimal scalar linear index code of a groupcast index coding problem is equal to the minrank of its side information hypergraph. The side-information hypergraph becomes a side-information graph for a special class of…

信息论 · 计算机科学 2019-01-03 Mahesh Babu Vaddi , B. Sundar Rajan

In this work, we study the problem of index coding from graph homomorphism perspective. We show that the minimum broadcast rate of an index coding problem for different variations of the problem such as non-linear, scalar, and vector index…

信息论 · 计算机科学 2014-09-01 Javad B. Ebrahimi , Mahdi Jafari Siavoshani

The question of under what condition some side information for index coding can be removed without affecting the capacity region is studied, which was originally posed by Tahmasbi, Shahrasbi, and Gohari. To answer this question, the notion…

信息论 · 计算机科学 2015-08-19 Fatemeh Arbabjolfaei , Young-Han Kim

Index coding and coded caching are two active research topics in information theory with strong ties to each other. Motivated by the multi-access coded caching problem, we study a new class of structured index coding problems (ICPs) which…

信息论 · 计算机科学 2021-11-17 Kota Srinivas Reddy , Nikhil Karamchandani

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

The source-coding problem with side information at the decoder is studied subject to a constraint that the encoder---to whom the side information is unavailable---be able to compute the decoder's reconstruction sequence to within some…

信息论 · 计算机科学 2016-11-15 Amos Lapidoth , Andreas Malär , Michèle Wigger
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