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Achieving information-theoretic security using explicit coding scheme in which unlimited computational power for eavesdropper is assumed, is one of the main topics is security consideration. It is shown that polar codes are capacity…

Suppose Alice wishes to send messages to Bob through a communication channel C_1, but her transmissions also reach an eavesdropper Eve through another channel C_2. The goal is to design a coding scheme that makes it possible for Alice to…

Information Theory · Computer Science 2015-03-13 Hessam Mahdavifar , Alexander Vardy

A polar coding scheme is introduced in this paper for the wire-tap channel. It is shown that the provided scheme achieves the entire rate-equivocation region for the case of symmetric and degraded wire-tap channel, where the weak notion of…

Information Theory · Computer Science 2015-03-17 Eran Hof , Shlomo Shamai

Suppose Alice wishes to send messages to Bob through a communication channel C_1, but her transmissions also reach an eavesdropper Eve through another channel C_2. The goal is to design a coding scheme that makes it possible for Alice to…

Information Theory · Computer Science 2011-10-05 Hessam Mahdavifar , Alexander Vardy

We develop a low-complexity polar coding scheme for the discrete memoryless broadcast channel with confidential messages under strong secrecy and randomness constraints. Our scheme extends previous work by using an optimal rate of uniform…

Information Theory · Computer Science 2016-03-08 Remi A. Chou , Matthieu R. Bloch

We show that polar codes asymptotically achieve the whole capacity-equivocation region for the wiretap channel when the wiretapper's channel is degraded with respect to the main channel, and the weak secrecy notion is used. Our coding…

Information Theory · Computer Science 2010-09-27 Mattias Andersson , Vishwambhar Rathi , Ragnar Thobaben , Joerg Kliewer , Mikael Skoglund

This paper presents a polar coding scheme to achieve secrecy in block fading binary symmetric wiretap channels without the knowledge of instantaneous channel state information (CSI) at the transmitter. For this model, a coding scheme that…

Information Theory · Computer Science 2015-11-05 Hongbo Si , O. Ozan Koyluoglu , Sriram Vishwanath

Wyner's work on wiretap channels and the recent works on information theoretic security are based on random codes. Achieving information theoretical security with practical coding schemes is of definite interest. In this note, the attempt…

Information Theory · Computer Science 2010-03-09 O. Ozan Koyluoglu , Hesham El Gamal

A rateless coding scheme transmits incrementally more and more coded bits over an unknown channel until all the information bits are decoded reliably by the receiver. We propose a new rateless coding scheme based on polar codes, and we show…

Information Theory · Computer Science 2015-08-14 Bin Li , David Tse , Kai Chen , Hui Shen

We prove that, for all binary-input symmetric memoryless channels, polar codes enable reliable communication at rates within $\epsilon > 0$ of the Shannon capacity with a block length, construction complexity, and decoding complexity all…

Information Theory · Computer Science 2013-11-19 Venkatesan Guruswami , Patrick Xia

A polar coding scheme is proposed for the Wiretap Broadcast Channel with two legitimate receivers and one eavesdropper. We consider a model in which the transmitter wishes to send different confidential (and non-confidential) information to…

Information Theory · Computer Science 2019-09-12 Jaume del Olmo , Javier R. Fonollosa

Polar codes have been proven to be capacity achieving for any binary-input discrete memoryless channel, while at the same time they can reassure secure and reliable transmission over the single-input single-output wireless channel. However,…

Channel polarization is a phenomenon in which a particular recursive encoding induces a set of synthesized channels from many instances of a memoryless channel, such that a fraction of the synthesized channels becomes near perfect for data…

Quantum Physics · Physics 2013-06-20 Mark M. Wilde , Saikat Guha

A capacity-achieving scheme based on polar codes is proposed for reliable communication over multi-channels which can be directly applied to bit-interleaved coded modulation schemes. We start by reviewing the ground-breaking work of polar…

Information Theory · Computer Science 2013-02-04 Hessam Mahdavifar , Mostafa El-Khamy , Jungwon Lee , Inyup Kang

In this paper, we propose a low-complexity, secrecy capacity achieving polar coding scheme for the cognitive interference channel with confidential messages (CICC) under the strong secrecy criterion. Existing polar coding schemes for…

Information Theory · Computer Science 2017-10-30 Mengfan Zheng , Wen Chen , Cong Ling

A polar coding scheme is proposed for the Wiretap Broadcast Channel with two legitimate receivers and one eavesdropper. We consider a model in which the transmitter wishes to send a private and a confidential message that must be reliably…

Information Theory · Computer Science 2019-02-19 Jaume del Olmo Alos , Javier R. Fonollosa

We consider the problem of polar coding for secure communications over the two-way wiretap channel, where two legitimate users communicate with each other simultaneously while a passive eavesdropper overhears a combination of their…

Information Theory · Computer Science 2017-06-23 Mengfan Zheng , Meixia Tao , Wen Chen , Cong Ling

Different polar coding schemes are proposed for the memoryless degraded broadcast channel under different reliability and secrecy requirements: layered decoding and/or layered secrecy. In this setting, the transmitter wishes to send…

Information Theory · Computer Science 2018-06-19 Jaume del Olmo , Javier R. Fonollosa

Information-theoretic work for wiretap channels is mostly based on random coding schemes. Designing practical coding schemes to achieve information-theoretic security is an important problem. By applying the two recently developed…

Information Theory · Computer Science 2014-10-15 Yi-Peng Wei , Sennur Ulukus

We compare three secrecy-coding schemes for the degraded wiretap binary symmetric channel (BSC) in the finite-blocklength regime: (i) polar wiretap coset codes, (ii) PAC codes used as wiretap coset codes, and (iii) the invertible-extractor…

Information Theory · Computer Science 2026-04-23 Jaswanthi Mandalapu , Andrew Thangaraj
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