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Related papers: Index coding with erroneous side information

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We consider a decoder with an erasure option and a variable size list decoder for channels with non-casual side information at the transmitter. First, universally achievable error exponents are offered for decoding with an erasure option…

Information Theory · Computer Science 2009-03-13 Erez Sabbag , Neri Merhav

The index coding problem is a fundamental transmission problem which occurs in a wide range of multicast networks. Network coding over a large finite field size has been shown to be a theoretically efficient solution to the index coding…

Information Theory · Computer Science 2012-10-01 Jalaluddin Qureshi , Chuan Heng Foh , Jianfei Cai

Secure data compression in the presence of side information at both a legitimate receiver and an eavesdropper is explored. A noise-free, limited rate link between the source and the receiver, whose output can be perfectly observed by the…

Information Theory · Computer Science 2016-11-17 Deniz Gunduz , Elza Erkip , H. Vincent Poor

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…

Information Theory · Computer Science 2018-04-25 Shanuja Sasi , B. Sundar Rajan

We study the problem of rate-distortion-equivocation with side-information only available at the decoder when an independent private random key is shared between the sender and the receiver. The sender compresses the sequence, and the…

Information Theory · Computer Science 2022-01-25 Hamid Ghourchian , Photios A. Stavrou , Tobias J. Oechtering , Mikael Skoglund

Circular perfect graphs are those undirected graphs such that the circular clique number is equal to the circular chromatic number for each induced subgraph. They form a strict superclass of the perfect graphs, whose index coding broadcast…

Information Theory · Computer Science 2019-01-18 Bhavana M , Prasad Krishnan

Advancing over up-to-date information theoretic results that assume symmetric correlation models, in this work we consider the problem of lossy binary source coding with side information, where the correlation is expressed by a generic…

Information Theory · Computer Science 2016-11-17 Andrei Sechelea , Samuel Cheng , Adrian Munteanu , Nikos Deligiannis

We study the following semi-deterministic setting of the joint source-channel coding problem: a deterministic source sequence (a.k.a. individual sequence) is transmitted via a memoryless channel, using delay-limited encoder and decoder,…

Information Theory · Computer Science 2021-09-29 Neri Merhav

The distributed index coding problem is studied, whereby multiple messages are stored at different servers to be broadcast to receivers with side information. First, the existing composite coding scheme is enhanced for the centralized…

Information Theory · Computer Science 2017-01-24 Yucheng Liu , Parastoo Sadeghi , Fatemeh Arbabjolfaei , Young-Han Kim

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…

Data Structures and Algorithms · Computer Science 2024-08-19 Dror Chawin , Ishay Haviv

We focus on the following instance of an index coding problem, where a set of receivers are required to decode multiple messages, whilst each knows one of the messages a priori. In particular, here we consider a generalized setting where…

Information Theory · Computer Science 2014-03-13 Lawrence Ong , Fabian Lim , Chin Keong Ho

The index coding problem includes a server, a group of clients, and a set of data chunks. While each client wants a subset of the data chunks and already has another subset as its side information, the server transmits some uncoded data…

Information Theory · Computer Science 2021-01-01 Yu-Pin Hsu , I-Hong Hou , Alex Sprintson

A sender wishes to broadcast an n character word x in F^n (for a field F) to n receivers R_1,...,R_n. Every receiver has some side information on x consisting of a subset of the characters of x. The side information of the receivers is…

Information Theory · Computer Science 2015-03-19 Ishay Haviv , Michael Langberg

We introduce the idea of distortion side information, which does not directly depend on the source but instead affects the distortion measure. We show that such distortion side information is not only useful at the encoder, but that under…

Information Theory · Computer Science 2007-07-16 Emin Martinian , Gregory W. Wornell , Ram Zamir

We study the index coding problem in the presence of an eavesdropper, where the aim is to communicate without allowing the eavesdropper to learn any single message aside from the messages it may already know as side information. We…

Information Theory · Computer Science 2018-09-12 Yuxin Liu , Badri N. Vellambi , Young-Han Kim , Parastoo Sadeghi

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

We investigate the problem of strategic point-to-point communication with side information at the decoder, in which the encoder and the decoder have mismatched distortion functions. The decoding process is not supervised, it returns the…

Information Theory · Computer Science 2020-09-18 Maël Le Treust , Tristan Tomala

Partial clique covering is one of the most basic coding schemes for index coding problems, generalizing clique and cycle covering on the side information digraph and further reducing the achievable broadcast rate. In this paper, we start…

Information Theory · Computer Science 2018-05-29 Xinping Yi , Giuseppe Caire

We analyze the trade-off between the undetected error probability (i.e., the probability that the channel decoder outputs an erroneous message without detecting the error) and the total error probability in the short blocklength regime. We…

Information Theory · Computer Science 2025-03-05 Alexander Sauter , A. Oguz Kislal , Giuseppe Durisi , Gianluigi Liva , Balazs Matuz , Erik G. Ström

Information set decoding (ISD) algorithms are the best known procedures to solve the decoding problem for general linear codes. These algorithms are hence used for codes without a visible structure, or for which efficient decoders…

Cryptography and Security · Computer Science 2021-02-19 Violetta Weger , Massimo Battaglioni , Paolo Santini , Franco Chiaraluce , Marco Baldi , Edoardo Persichetti
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