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To achieve perfect secrecy in a multiple-input multiple-output (MIMO) Gaussian wiretap channel (WTC), we need to find its secrecy capacity and optimal signaling, which involves solving a difference of convex functions program known to be…

Information Theory · Computer Science 2021-05-25 Anshu Mukherjee , Vaibhav Kumar , Eduard Jorswieck , Björn Ottersten , Le-Nam Tran

We present two sequences of ensembles of non-systematic irregular repeat-accumulate codes which asymptotically (as their block length tends to infinity) achieve capacity on the binary erasure channel (BEC) with bounded complexity per…

Information Theory · Computer Science 2009-07-29 H. Pfister , I. Sason , R. Urbanke

We derive bounds on the asymptotic density of parity-check matrices and the achievable rates of binary linear block codes transmitted over memoryless binary-input output-symmetric (MBIOS) channels. The lower bounds on the density of…

Information Theory · Computer Science 2007-07-13 Gil Wiechman , Igal Sason

A private compression design problem is studied, where an encoder observes useful data $Y$, wishes to compress it using variable length code and communicates it through an unsecured channel. Since $Y$ is correlated with private data $X$,…

Information Theory · Computer Science 2023-11-21 Amirreza Zamani , Tobias J. Oechtering , Mikael Skoglund

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

The secure multiplex coding (SMC) is a technique to remove rate loss in the coding for wire-tap channels and broadcast channels with confidential messages caused by the inclusion of random bits into transmitted signals. SMC replaces the…

Information Theory · Computer Science 2016-09-28 Masahito Hayashi , Ryutaroh Matsumoto

Neural speech codecs have demonstrated their ability to compress high-quality speech and audio by converting them into discrete token representations. Most existing methods utilize Residual Vector Quantization (RVQ) to encode speech into…

Sound · Computer Science 2024-10-22 Peiji Yang , Fengping Wang , Yicheng Zhong , Huawei Wei , Zhisheng Wang

In this paper, we consider a scenario where a source node wishes to broadcast two confidential messages for two respective receivers, while a wire-tapper also receives the transmitted signal. This model is motivated by wireless…

Information Theory · Computer Science 2008-07-30 Ghadamali Bagherikaram , Abolfazl S. Motahari , Amir K. Khandani

A wiretap channel is served as the fundamental model of physical layer security techniques, where the secrecy capacity of the Gaussian wiretap channel is proven to be achieved by Gaussian input. However, there remains a gap between the…

Information Theory · Computer Science 2024-11-12 Li Shen , Yongpeng Wu , Peihong Yuan , Chengshan Xiao , Xiang-Gen Xia , Wenjun Zhang

The aim of this paper is to prove coding theorems for the wiretap channel coding problem and secret key agreement problem based on the the notion of a hash property for an ensemble of functions. These theorems imply that codes using sparse…

Information Theory · Computer Science 2012-05-22 Jun Muramatsu , Shigeki Miyake

This paper presents new FEC codes for the erasure channel, LDPC-Band, that have been designed so as to optimize a hybrid iterative-Maximum Likelihood (ML) decoding. Indeed, these codes feature simultaneously a sparse parity check matrix,…

Information Theory · Computer Science 2009-01-23 Alexandre Soro , Mathieu Cunche , Jerome Lacan , Vincent Roca

We study the amount of reliable information that can be stored in a DNA-based storage system with noisy sequencing, where each codeword is composed of short DNA molecules. We analyze a concatenated coding scheme, where the outer code is…

Information Theory · Computer Science 2026-05-19 Ran Tamir , Nir Weinberger , Albert Guillén i Fàbregas

We derive a lower bound on the secrecy capacity of the compound wiretap channel with channel state information at the transmitter which matches the general upper bound on the secrecy capacity of general compound wiretap channels given by…

Information Theory · Computer Science 2016-11-17 Igor Bjelakovic , Holger Boche , Jochen Sommerfeld

Consider the transmission of a polar code of block length $N$ and rate $R$ over a binary memoryless symmetric channel $W$ and let $P_e$ be the block error probability under successive cancellation decoding. In this paper, we develop new…

Information Theory · Computer Science 2016-08-05 Marco Mondelli , S. Hamed Hassani , Rüdiger Urbanke

Polarization-adjusted convolutional (PAC) codes, as a concatenated coding scheme based on polar codes, is able to approach the finite-length bound of binary-input AWGN channel at short blocklengths. In this paper, we extend PAC codes to the…

Information Theory · Computer Science 2023-08-11 Mengfan Zheng , Cong Ling

Because of their capacity-approaching performance, graph-based codes have a wide range of applications, including communications and storage. In these codes, unequal error protection (UEP) can offer performance gains with limited rate loss.…

Information Theory · Computer Science 2021-01-25 Beyza Dabak , Ahmed Hareedy , Alexei Ashikhmin , Robert Calderbank

The secrecy capacity region for the K-receiver degraded broadcast channel (BC) is given for confidential messages sent to the receivers and to be kept secret from an external wiretapper. Superposition coding and Wyner's random code…

Information Theory · Computer Science 2008-12-22 Li-Chia Choo , Kai-Kit Wong

An erasure channel with a fixed alphabet size $q$, where $q \gg 1$, is studied. It is proved that over any erasure channel (with or without memory), Maximum Distance Separable (MDS) codes achieve the minimum probability of error (assuming…

Information Theory · Computer Science 2008-06-06 Shervan Fashandi , Shahab Oveis Gharan , Amir K. Khandani

A method is proposed, called channel polarization, to construct code sequences that achieve the symmetric capacity $I(W)$ of any given binary-input discrete memoryless channel (B-DMC) $W$. The symmetric capacity is the highest rate…

Information Theory · Computer Science 2016-11-18 Erdal Arikan

A lower bound on the secrecy capacity of the wiretap channel with state information available causally at both the encoder and decoder is established. The lower bound is shown to be strictly larger than that for the noncausal case by Liu…

Information Theory · Computer Science 2010-06-03 Yeow-Khiang Chia , Abbas El Gamal