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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 propose a new scheme of wiretap lattice coding that achieves semantic security and strong secrecy over the Gaussian wiretap channel. The key tool in our security proof is the flatness factor which characterizes the convergence of the…

Information Theory · Computer Science 2016-11-18 Cong Ling , Laura Luzzi , Jean-Claude Belfiore , Damien Stehlé

We propose a coding scheme that achieves the capacity of the compound MIMO channel with algebraic lattices. Our lattice construction exploits the multiplicative structure of number fields and their group of units to absorb ill-conditioned…

Information Theory · Computer Science 2017-01-11 Antonio Campello , Cong Ling , Jean-Claude Belfiore

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

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,…

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 capacity of the Gaussian wiretap channel model is analyzed when there are multiple antennas at the sender, intended receiver and eavesdropper. The associated channel matrices are fixed and known to all the terminals. A computable…

Information Theory · Computer Science 2016-11-15 Ashish Khisti , Gregory Wornell

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

It is known that a message can be transmitted safely against any wiretapper via a noisy channel without a secret key if the coding rate is less than the so-called secrecy capacity $C_S$, which is usually smaller than the channel capacity…

Information Theory · Computer Science 2007-07-16 Daisuke Kobayashi , Hirosuke Yamamoto , Tomohiro Ogawa

In this work, a class of information theoretic secrecy problems is addressed where the eavesdropper channel states are completely unknown to the legitimate parties. In particular, MIMO wiretap channel models are considered where the channel…

Information Theory · Computer Science 2010-07-28 Xiang He , Aylin Yener

In this paper, we consider the Gaussian multiple-input multiple-output (MIMO) multi-receiver wiretap channel in which a transmitter wants to have confidential communication with an arbitrary number of users in the presence of an external…

Information Theory · Computer Science 2009-03-19 Ersen Ekrem , Sennur Ulukus

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 problem of sending a secret message over the Gaussian multiple-input multiple-output (MIMO) wiretap channel is studied. While the capacity of this channel is known, it is not clear how to construct optimal coding schemes that achieve…

Information Theory · Computer Science 2016-10-31 Anatoly Khina , Yuval Kochman , Ashish Khisti

Lattices possess elegant mathematical properties which have been previously used in the literature to show that structured codes can be efficient in a variety of communication scenarios, including coding for the additive white Gaussian…

Information Theory · Computer Science 2017-12-19 Lakshmi Natarajan , Yi Hong , Emanuele Viterbo

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

Secrecy issues of free-space optical links realizing information theoretically secure communications as well as high transmission rates are discussed. We numerically study secrecy communication rates of optical wiretap channel based on…

Information Theory · Computer Science 2015-09-15 Hiroyuki Endo , Te Sun Han , Takao Aoki , Masahide Sasaki

We consider the multiple-input multiple-output (MIMO) wiretap channel under a minimum receiver-side power constraint in addition to the usual maximum transmitter-side power constraint. This problem is motivated by energy harvesting…

Information Theory · Computer Science 2016-11-17 Karim Banawan , Sennur Ulukus

In this paper, fast-decodable lattice code constructions are designed for the nonorthogonal amplify-and-forward (NAF) multiple-input multiple-output (MIMO) channel. The constructions are based on different types of algebraic structures,…

Information Theory · Computer Science 2012-02-28 Camilla Hollanti , Nadya Markin

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

We consider lattice coding for the Gaussian wiretap channel, where the challenge is to ensure reliable communication between two authorized parties while preventing an eavesdropper from learning the transmitted messages. Recently, a measure…

Information Theory · Computer Science 2021-11-03 Maiara F. Bollauf , Hsuan-Yin Lin , Øyvind Ytrehus
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