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Achieving Marton's Region for Broadcast Channels Using Polar Codes

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Polar Codes for Broadcast Channels

Michael Christoph Gastpar, Emmanuel Abbé, Naveen Goela

Polar codes are introduced for discrete memoryless broadcast channels. For m-user deterministic broadcast channels, polarization is applied to map uniformly random message bits from m-independent messages to one codeword while satisfying broadcast constrai ...

Institute of Electrical and Electronics Engineers2015

Re-proving Channel Polarization Theorems

Mine Alsan

The general subject considered in this thesis is a recently discovered coding technique, polar coding, which is used to construct a class of error correction codes with unique properties. In his ground-breaking work, Arikan proved that this class of codes, ...

EPFL2015

Limits on Support Recovery with Probabilistic Models: An Information-Theoretic Framework

Volkan Cevher, Jonathan Mark Scarlett

The support recovery problem consists of deter- mining a sparse subset of a set of variables that is relevant in generating a set of observations, and arises in a diverse range of settings such as group testing, compressive sensing, and subset selection in ...

2015

Secret Communication Over Broadcast Erasure Channels With State-Feedback

Christina Fragouli, Suhas Diggavi, László Czap, Vinod Malathidevi Prabhakaran

We consider a 1-to-K communication scenario, where a source transmits private messages to K receivers through a broadcast erasure channel, and the receivers feedback strictly, causally, and publicly their channel states after each transmission. We explore ...

Ieee-Inst Electrical Electronics Engineers Inc2015

Secure transmission using an untrusted relay with scaled compute-and-forward

Michael Christoph Gastpar, Jasper Goseling

A two-hop channel is considered, in which the source wants to send information to the destination while keeping the information confidential from the relay. A novel lattice chain and compute-and-forward based scheme is proposed in which the destination pro ...

IEEE2015

Targeted vaccination based on a wireless sensor system

Marcel Salathé

Vaccination is one of the most effective ways to protect people from being infected by infectious disease. However, it is often impractical to vaccinate all people in a community due to various resource constraints. Therefore, targeted vaccination, which v ...

IEEE2015

Sound Proof of Proximity of Knowledge

Serge Vaudenay

Public-key distance bounding schemes are needed to defeat relay attacks in payment systems. So far, only five such schemes exist, but fail to fully protect against malicious provers. In this paper, we solve this problem. We provide a full formalism to defi ...

2015

Secure Communication in Erasure Networks with State-feedback

László Czap

The security and efficiency of communication are two of the main concerns for networks of today and the future. Our understanding of how to efficiently send information over various channels and networks has significantly increased in the past decade (see ...

EPFL2014

Polarization Improves E-0

Emre Telatar, Mine Alsan

We prove that channel combining and splitting via Arikan's polarization transformation improves Gallager's reliability function E-0 for binary input channels. In this sense, polarization creates E-0. This observation gives yet another justification as to w ...

Ieee-Inst Electrical Electronics Engineers Inc2014

Finite-Length Scaling for Polar Codes

Rüdiger Urbanke, Seyed Hamed Hassani

Consider a binary-input memoryless output-symmetric channel W. Such a channel has a capacity, call it I (W), and for any R < I (W) and strictly positive constant P-e we know that we can construct a coding scheme that allows transmission at rate R with an e ...

Ieee-Inst Electrical Electronics Engineers Inc2014