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In this paper, we use a linear programming (LP) optimization approach to evaluate the equivocation for a wiretap channel where the main channel is noiseless, and the wiretap channel is a binary symmetric channel (BSC). Using this technique,…

Information Theory · Computer Science 2024-01-17 Ali Nikkhah , Morteza Shoushtari , Bahareh Akhbari , Willie K. Harrison

A scheme for concatenating the recently invented polar codes with interleaved block codes is considered. By concatenating binary polar codes with interleaved Reed-Solomon codes, we prove that the proposed concatenation scheme captures the…

Information Theory · Computer Science 2013-02-01 Hessam Mahdavifar , Mostafa El-Khamy , Jungwon Lee , Inyup Kang

We analyze physical-layer security based on the premise that the coding mechanism for secrecy over noisy channels is tied to the notion of channel resolvability. Instead of considering capacity-based constructions, which associate to each…

Information Theory · Computer Science 2013-09-09 Matthieu R. Bloch , J. Nicholas Laneman

This paper investigates the problem of source-channel coding for secure transmission with arbitrarily correlated side informations at both receivers. This scenario consists of an encoder (referred to as Alice) that wishes to compress a…

Information Theory · Computer Science 2013-11-11 Joffrey Villard , Pablo Piantanida , Shlomo Shamai

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

Progress in designing channel codes has been driven by human ingenuity and, fittingly, has been sporadic. Polar codes, developed on the foundation of Arikan's polarization kernel, represent the latest breakthrough in coding theory and have…

Information Theory · Computer Science 2024-06-06 S Ashwin Hebbar , Sravan Kumar Ankireddy , Hyeji Kim , Sewoong Oh , Pramod Viswanath

The coding problem for wiretap channels with causal channel state information (CSI) available at the encoder (Alice) and/or the decoder (Bob) is studied. We are concerned here particularily with the problem of achievable secret-message…

Information Theory · Computer Science 2021-08-10 Te Sun Han , Masahide Sasaki

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

In Part I of this two-part paper on confidential communication over wireless channels, we studied the fundamental security limits of quasi-static fading channels from the point of view of outage secrecy capacity with perfect and imperfect…

Information Theory · Computer Science 2007-07-13 Matthieu Bloch , Joao Barros , Miguel R. D. Rodrigues , Steven W. McLaughlin

In this paper, we introduce a new coding and decoding structure for enhancing the reliability and performance of polar codes, specifically at low error rates. We achieve this by concatenating two polar codes in series to create robust…

Information Theory · Computer Science 2023-11-07 Mohammed Mensouri , Mustapha Eddahibi

The long-haul communication systems can offer ultra high-speed data transfer rates but suffer from burst errors. The high-rate and high-performance staircase codes provide an efficient way for long-haul transmission. The staircase coding…

Information Theory · Computer Science 2018-05-28 Bowen Feng , Jian Jiao , Liu Zhou , Shaohua Wu , Bin Cao , Qinyu Zhang

The use of deep learning-based techniques for approximating secure encoding functions has attracted considerable interest in wireless communications due to impressive results obtained for general coding and decoding tasks for wireless…

Information Theory · Computer Science 2021-06-02 Rick Fritschek , Rafael F. Schaefer , Gerhard Wunder

We construct new polar coding schemes for the transmission of quantum or private classical information over arbitrary quantum channels. In the former case, our coding scheme achieves the symmetric coherent information and in the latter the…

Quantum Physics · Physics 2014-07-29 Joseph M. Renes , Mark M. Wilde

Wyner's wiretap channel is extended to parallel broadcast channels and fading channels with multiple receivers. In the first part of the paper, we consider the setup of parallel broadcast channels with one sender, multiple intended…

Information Theory · Computer Science 2007-07-13 Ashish Khisti , Aslan Tchamkerten , Gregory Wornell

In this paper, we investigate how constraints on the randomization in the encoding process affect the secrecy rates achievable over wiretap channels. In particular, we characterize the secrecy capacity with a rate-limited local source of…

Information Theory · Computer Science 2012-02-27 Matthieu R. Bloch , Joerg Kliewer

Polar codes are designed for parallel binary-input additive white Gaussian noise (BiAWGN) channels with an average power constraint. The two main design choices are: the mapping between codeword bits and channels of different quality, and…

Information Theory · Computer Science 2019-05-06 Thomas Wiegart , Tobias Prinz , Fabian Steiner , Peihong Yuan

We design short blocklength codes for the Gaussian wiretap channel under information-theoretic security guarantees. Our approach consists in decoupling the reliability and secrecy constraints in our code design. Specifically, we handle the…

Information Theory · Computer Science 2023-01-24 Vidhi Rana , Remi A. Chou

A framework is proposed that allows for a joint description and optimization of both binary polar coding and $2^m$-ary digital pulse-amplitude modulation (PAM) schemes such as multilevel coding (MLC) and bit-interleaved coded modulation…

Information Theory · Computer Science 2013-02-13 Mathis Seidl , Andreas Schenk , Clemens Stierstorfer , Johannes B. Huber

Polar codes are constructed for arbitrary channels by imposing an arbitrary quasigroup structure on the input alphabet. Just as with "usual" polar codes, the block error probability under successive cancellation decoding is…

Information Theory · Computer Science 2016-06-16 Rajai Nasser , Emre Telatar

For communications in the presence of eavesdroppers, random components are often used in code design to camouflage information from eavesdroppers. In broadcast channels without eavesdroppers, Marton error-correcting coding comprises random…

Information Theory · Computer Science 2021-03-08 Jin Yeong Tan , Lawrence Ong , Behzad Asadi