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The concept of well-rounded lattices has recently found important applications in the setting of a fading single-input single-output (SISO) wiretap channel. It has been shown that, under this setup, the property of being well-rounded is…

Information Theory · Computer Science 2016-09-27 Oliver W. Gnilke , Amaro Barreal , Alex Karrila , Ha Thanh Nguyen Tran , David A. Karpuk , Camilla Hollanti

The design of lattice coset codes for wiretap channels is considered. Bounds on the eavesdropper's correct decoding probability and information leakage are first revisited. From these bounds, it is explicit that both the information leakage…

Information Theory · Computer Science 2020-07-31 Mohamed Taoufiq Damir , Alex Karrila , Laia Amorós , Oliver Gnilke , David Karpuk , Camilla Hollanti

It has been shown recently that coding for the Gaussian Wiretap Channel can be done with nested lattices. A fine lattice intended to the legitimate user must be designed as a usual lattice code for the Gaussian Channel, while a coarse…

Information Theory · Computer Science 2010-12-21 Jean-Claude Belfiore , Frederique Oggier

We show that the correct decoding probability of an eavesdropper and error probability of a legitimate receiver in a Rayleigh fading wiretap channel with lattice coset coding are both upper bounded by the theta function in the $\ell^1$-norm…

Number Theory · Mathematics 2024-05-08 Niklas Miller

In this paper, the probability of Eve the Eavesdropper's correct decision is considered both in the Gaussian and Rayleigh fading wiretap channels when using lattice codes for the transmission. First, it is proved that the secrecy function…

Cryptography and Security · Computer Science 2012-02-28 Anne-Maria Ernvall-Hytönen , Camilla Hollanti

Ong and Ho developed optimal linear index codes for single uniprior index coding problems (ICPs) by finding a spanning tree for each of the strongly connected components of the corresponding information-flow graphs, following which Thomas…

Information Theory · Computer Science 2024-07-23 Anjana A Mahesh , Charul Rajput , Bobbadi Rupa , B. Sundar Rajan

In this article, the design of secure lattice coset codes for general wireless channels with fading and Gaussian noise is studied. Recalling the eavesdropper's probability and information bounds, a variant of the latter is given from which…

Information Theory · Computer Science 2016-08-02 Amaro Barreal , Alex Karrila , David Karpuk , Camilla Hollanti

In this paper, new probability bounds are derived for algebraic lattice codes. This is done by using the Dedekind zeta functions of the algebraic number fields involved in the lattice constructions. In particular, it is shown how to upper…

Information Theory · Computer Science 2013-04-19 Camilla Hollanti , Emanuele Viterbo , David Karpuk

We consider a fading wiretap channel model where the transmitter has only statistical channel state information, and the legitimate receiver and eavesdropper have perfect channel state information. We propose a sequence of non-random…

Information Theory · Computer Science 2016-11-18 Laura Luzzi , Cong Ling , Roope Vehkalahti

The wiretap channel is a well-studied problem in the physical layer security literature. Although it is proven that the decoding error probability and information leakage can be made arbitrarily small in the asymptotic regime, further…

Information Theory · Computer Science 2025-03-19 Daniel Seifert , Onur Günlü , Rafael F. Schaefer

We consider lattice coset-coded transmissions over a wiretap channel with additive white Gaussian noise (AWGN). Examining a function that can be interpreted as either the legitimate receiver's error probability or the eavesdropper's correct…

Information Theory · Computer Science 2014-11-24 Alex Karrila , Camilla Hollanti

We consider an experimental setup of three USRPs that implement a wiretap channel, two USRPs are the legitimate players Alice and Bob, while the third USRP is the eavesdropper, whose position we vary to evaluate information leakage. The…

Information Theory · Computer Science 2017-01-16 Jinlong Lu , J. Harshan , Frédérique Oggier

We consider MIMO (Multiple Input Multiple Output) wiretap channels, where a legitimate transmitter Alice is communicating with a legitimate receiver Bob in the presence of an eavesdropper Eve, and communication is done via MIMO channels. We…

Information Theory · Computer Science 2013-01-10 Jean-Claude Belfiore , Frédérique Oggier

Despite several works on secrecy coding for fading and MIMO wiretap channels from an error probability perspective, the construction of information-theoretically secure codes over such channels remains an open problem. In this paper, we…

Information Theory · Computer Science 2018-06-27 Laura Luzzi , Roope Vehkalahti , Cong Ling

We consider wiretap channels with uncertainty on the eavesdropper channel under (i) noisy blockwise type II, (ii) compound, or (iii) arbitrarily varying models. We present explicit wiretap codes that can handle these models in a unified…

Information Theory · Computer Science 2022-11-03 Remi A. Chou

The amount of sensitive data, which is transmitted wirelessly will increase with future technologies. This raises many questions about secure data transmission. Besides cryptography, information-theoretic security gained increasing…

Information Theory · Computer Science 2021-01-18 Karl-Ludwig Besser , Eduard A. Jorswieck

For ergodic fading, a lattice coding and decoding strategy is proposed and its performance is analyzed for the single-input single-output (SISO) and multiple-input multiple-output (MIMO) point-to-point channel as well as the multiple-access…

Information Theory · Computer Science 2017-02-28 Ahmed Hindy , Aria Nosratinia

We consider a system where an agent (Alice) aims at transmitting a message to a second agent (Bob) over a set of parallel channels, while keeping it secret from a third agent (Eve) by using physical layer security techniques. We assume that…

Information Theory · Computer Science 2014-10-28 Marco Baldi , Marco Bianchi , Franco Chiaraluce , Nicola Laurenti , Stefano Tomasin , Francesco Renna

An alternative or supplementary approach named as physical layer security has been proposed to afford an extra security layer on top of the conventional cryptography technique. In this paper, an overview of secrecy performance…

Information Theory · Computer Science 2020-12-15 Long Kong , Yun Ai , Lei Lei , Georges Kaddoum , Symeon Chatzinotas , Björn Ottersten

In this paper, we propose a polar coding scheme for secure communication over the multiple-input, single-output, single-antenna eavesdropper (MISOSE) fading channel. We consider the case of block fading channels with known eavesdropper…

Information Theory · Computer Science 2014-11-11 Mengfan Zheng , Meixia Tao , Wen Chen
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