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Consider the Gaussian wiretap channel, where a transmitter wishes to send a confidential message to a legitimate receiver in the presence of an eavesdropper. It is well known that if the eavesdropper experiences less channel noise than the…

Information Theory · Computer Science 2026-01-29 Vidhi Rana , Remi A. Chou , Taejoon Kim

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

In this work we study the reliability and secrecy performance achievable by practical LDPC codes over the Gaussian wiretap channel. While several works have already addressed this problem in asymptotic conditions, i.e., under the hypothesis…

Information Theory · Computer Science 2016-11-18 Marco Baldi , Giacomo Ricciutelli , Nicola Maturo , Franco Chiaraluce

Lattice coding for the Gaussian wiretap channel is considered, where the goal 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 2022-02-21 Maiara F. Bollauf , Hsuan-Yin Lin , Øyvind Ytrehus

In this paper, we consider the design of a new secrecy transmission scheme for a four-node relay-eavesdropper channel. The key idea of the proposed scheme is to combine noisy network coding with the interference assisted strategy for…

Information Theory · Computer Science 2012-08-27 Peng Xu , Zhiguo Ding , and Xuchu Dai , Kin Leung

Lattices are deceptively simple mathematical structures that have become indispensable for code design for physical layer communications. While lattice-related problems are interesting in their own right, the usefulness of these discrete…

Information Theory · Computer Science 2017-06-21 Amaro Barreal

In this paper, we propose a new approach to proving results regarding channel coding schemes based on construction-A lattices for the Additive White Gaussian Noise (AWGN) channel that yields new characterizations of the code construction…

Information Theory · Computer Science 2016-11-18 Wael Alghamdi , Walid Abediseid , Mohamed-Slim Alouini

A new achievable rate region is given for the Gaussian cognitive many-to-one interference channel. The proposed novel coding scheme is based on the compute-and-forward approach with lattice codes. Using the idea of decoding sums of…

Information Theory · Computer Science 2016-11-18 Jingge Zhu , Michael Gastpar

This paper considers the problem of secure coding design for a type II wiretap channel, where the main channel is noiseless and the eavesdropper channel is a general binary-input symmetric-output memoryless channel. The proposed secure…

Information Theory · Computer Science 2016-11-18 Ruoheng Liu , Yingbin Liang , H. Vincent Poor , Predrag Spasojevic

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 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

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

A coding scheme based on irregular low-density parity-check (LDPC) codes is proposed to send secret messages from a source over the Gaussian wiretap channel to a destination in the presence of a wiretapper, with the restriction that the…

Information Theory · Computer Science 2016-11-17 Chan Wong Wong , Tan F. Wong , John M. Shea

A fundamental problem in coding theory is the design of an efficient coding scheme that achieves the capacity of the additive white Gaussian (AWGN) channel. The main objective of this short note is to point out that by concatenating a…

Information Theory · Computer Science 2016-08-24 Shashank Vatedka , Navin Kashyap

In this paper, we study lattice coding for Rician fading wireless channels. This is motivated in particular by preliminary studies suggesting the Rician fading model for millimeter-wavelength wireless communications. We restrict to lattice…

Information Theory · Computer Science 2017-01-27 Alex Karrila , Niko R. Väisänen , David Karpuk , Camilla Hollanti

We demonstrate a decoding scheme for nested lattice codes which is able to decode a list of a particular size which contains the transmitted codeword with high probability. This list decoder is analogous to that used in random coding…

Information Theory · Computer Science 2010-10-04 Yiwei Song , Natasha Devroye

This paper provides a simplified proof for the existence of nested lattice codebooks allowing to achieve the capacity of the additive white Gaussian noise channel, as well as the optimal rate-distortion trade-off for a Gaussian source. The…

Information Theory · Computer Science 2015-08-10 Or Ordentlich , Uri Erez

From an arbitrary given channel code over a discrete or Gaussian memoryless channel, we construct a wiretap code with the strong security. Our construction can achieve the wiretap capacity under mild assumptions. The key tool is the new…

Information Theory · Computer Science 2010-10-06 Masahito Hayashi , Ryutaroh Matsumoto

In this paper, a class of relay networks is considered. We assume that, at a node, outgoing channels to its neighbors are orthogonal, while incoming signals from neighbors can interfere with each other. We are interested in the multicast…

Information Theory · Computer Science 2016-11-17 Wooseok Nam , Sae-Young Chung , Yong H. Lee

In this paper, the performance limits and the computational complexity of the lattice sequential decoder are analyzed for the unconstrained additive white Gaussian noise channel. The performance analysis available in the literature for such…

Information Theory · Computer Science 2013-04-11 Walid Abediseid , Mohamed-Slim Alouini