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An index code is said to be locally decodable if each receiver can decode its demand using its side information and by querying only a subset of the transmitted codeword symbols instead of observing the entire codeword. Local decodability…

Information Theory · Computer Science 2019-01-18 Lakshmi Natarajan , Hoang Dau , 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…

Information Theory · Computer Science 2018-01-10 Suman Ghosh , Lakshmi Natarajan

Index coding, a source coding problem over broadcast channels, has been a subject of both theoretical and practical interest since its introduction (by Birk and Kol, 1998). In short, the problem can be defined as follows: there is an input…

Information Theory · Computer Science 2019-04-11 Abhishek Agarwal , Larkin Flodin , Arya Mazumdar

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…

Information Theory · Computer Science 2019-09-19 Jae-Won Kim , Jong-Seon No

In this paper, we study the capacity region of the general distributed index coding. In contrast to the traditional centralized index coding where a single server contains all $n$ messages requested by the receivers, in the distributed…

Information Theory · Computer Science 2016-04-13 Parastoo Sadeghi , Fatemeh Arbabjolfaei , Young-Han Kim

In network communications, information transmission often encounters wiretapping attacks. Secure network coding is introduced to prevent information from being leaked to adversaries. The investigation of performance bounds on the numbers of…

Information Theory · Computer Science 2015-05-07 Xuan Guang , Jiyong Lu , Fang-Wei Fu

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…

Information Theory · Computer Science 2015-07-28 Sinem Unal , Aaron B. Wagner

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…

Information Theory · Computer Science 2017-09-05 Lawrence Ong

We propose a new concept of secure list decoding. While the conventional list decoding requires that the list contains the transmitted message, secure list decoding requires the following additional security conditions. The first additional…

Information Theory · Computer Science 2020-06-23 Masahito Hayashi

Secure codes are widely-studied combinatorial structures which were introduced for traitor tracing in broadcast encryption. To determine the maximum size of such structures is the main research objective. In this paper, we investigate the…

Information Theory · Computer Science 2021-08-24 Bingchen Qian , Xin Wang , Gennian Ge

In this paper, we derive information-theoretic performance limits for secure and reliable communications over the general two-user discrete memoryless broadcast channel with side-information at the transmitter. The sender wishes to…

Information Theory · Computer Science 2011-09-27 K. G. Nagananda , Chandra R Murthy , Shalinee Kishore

The capacity of symmetric instance of the multiple unicast index coding problem with neighboring antidotes (side-information) with number of messages equal to the number of receivers was given by Maleki, Cadambe and Jafar. In this paper we…

Information Theory · Computer Science 2015-10-20 Mahesh Babu Vaddi , Roop Kumar Bhattaram , B. Sundar Rajan

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…

Information Theory · Computer Science 2018-01-12 Lakshmi Natarajan , Prasad Krishnan , V. Lalitha

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.…

Information Theory · Computer Science 2019-09-19 Jae-Won Kim , Jong-Seon No

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…

Information Theory · Computer Science 2019-09-10 Tang Liu , Daniela Tuninetti

Information-theoretic security is considered in the paradigm of network coding in the presence of wiretappers, who can access one arbitrary edge subset up to a certain size, also referred to as the security level. Secure network coding is…

Information Theory · Computer Science 2018-11-07 Xuan Guang , Raymond W. Yeung , Fang-Wei Fu

In the paradigm of network coding, the information-theoretic security problem is encountered in the presence of a wiretapper, who has capability of accessing an unknown channel-subset in communication networks. In order to combat this…

Information Theory · Computer Science 2016-11-28 Xuan Guang

In the pliable variant of index coding, receivers are allowed to decode any new message not known a priori. Optimal code design for this variant involves identifying each receiver's choice of a new message that minimises the overall…

Information Theory · Computer Science 2022-05-06 Lawrence Ong , Badri N. Vellambi

We introduce the blind index coding (BIC) problem, in which a single sender communicates distinct messages to multiple users over a shared channel. Each user has partial knowledge of each message as side information. However, unlike classic…

Information Theory · Computer Science 2015-09-02 David T. H. Kao , Mohammad Ali Maddah-Ali , A. Salman Avestimehr

Consider a communication scenario over a noiseless channel where a sender is required to broadcast messages to multiple receivers, each having side information about some messages. In this scenario, the sender can leverage the receivers'…

Information Theory · Computer Science 2017-06-13 Chandra Thapa , Lawrence Ong , Sarah J. Johnson