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A polar coding scheme is proposed for the Wiretap Broadcast Channel with two legitimate receivers and one eavesdropper. We consider a model in which the transmitter wishes to send a private and a confidential message that must be reliably…

Information Theory · Computer Science 2019-02-19 Jaume del Olmo Alos , Javier R. Fonollosa

Different polar coding schemes are proposed for the memoryless degraded broadcast channel under different reliability and secrecy requirements: layered decoding and/or layered secrecy. In this setting, the transmitter wishes to send…

Information Theory · Computer Science 2018-06-19 Jaume del Olmo , Javier R. Fonollosa

Achieving security against adversaries with unlimited computational power is of great interest in a communication scenario. Since polar codes are capacity achieving codes with low encoding-decoding complexity and they can approach perfect…

Information Theory · Computer Science 2018-01-23 Amirsina Torfi , Sobhan Soleymani , Siamak Aram , Vahid Tabataba Vakili

This work introduces coset Bombe codes, a novel class of multilevel coset codes that generalize polar codes to dense lattice structures. By leveraging multilevel coding with non-binary codes designed for the lattice modulations and making…

Information Theory · Computer Science 2026-04-08 Leopold Bertholet , Chloe Makdad , Stephen Mackes , Daniel Chew , Matthew Robinson

In this paper, we present the concept of non-uniform channel polarization and a scheme for rate-compatible polar code construction for any codeword length using additive white Gaussian noise (AWGN) channels and the successive cancellation…

Information Theory · Computer Science 2019-11-19 Robert M. Oliveira , Rodrigo C. de Lamare

In this paper, we design polar codes and polar lattices for i.i.d. fading channels when the channel state information is only available to the receiver. For the binary input case, we propose a new design of polar codes through single-stage…

Information Theory · Computer Science 2016-02-08 Ling Liu , Cong Ling

This work studies the secrecy-capacity of a scalar-Gaussian wiretap channel with an amplitude constraint on the input. It is known that for this channel, the secrecy-capacity-achieving distribution is discrete with finitely many points.…

Information Theory · Computer Science 2021-09-06 Luca Barletta , Alex Dytso

Wyner's work on wiretap channels and the recent works on information theoretic security are based on random codes. Achieving information theoretical security with practical coding schemes is of definite interest. In this note, the attempt…

Information Theory · Computer Science 2010-03-09 O. Ozan Koyluoglu , Hesham El Gamal

Lattice codes are elegant and powerful structures that not only can achieve the capacity of the AWGN channel but are also a key ingredient to many multiterminal schemes that exploit linearity properties. However, constructing lattice codes…

Information Theory · Computer Science 2019-05-07 Paulo Ricardo Branco da Silva , Danilo Silva

In the literature, it has been shown that the secrecy capacity of the additive white Gaussian noise (AWGN) wiretap channel with noise-free feedback equals the capacity of the same model without secrecy constraint, and the classical…

Information Theory · Computer Science 2026-01-15 Sheng Su , Yuhan Yang , Chao Qi , Xuan He , Bin Dai , Xiaohu Tang

We propose a covert communication protocol for the spread-spectrum multiple random access with additive white Gaussian noise (AWGN) channel. No existing paper has studied covert communication for the random access channel. Our protocol…

Information Theory · Computer Science 2023-10-25 Masahito Hayashi , Angeles Vazquez-Castro

A polar coding scheme is proposed for the Wiretap Broadcast Channel with two legitimate receivers and one eavesdropper. We consider a model in which the transmitter wishes to send different confidential (and non-confidential) information to…

Information Theory · Computer Science 2019-09-12 Jaume del Olmo , Javier R. Fonollosa

Explicit coding schemes are proposed to achieve the rate-distortion function of the Heegard-Berger problem using polar codes. Specifically, a nested polar code construction is employed to achieve the rate-distortion function for the…

Information Theory · Computer Science 2017-10-06 Jinwen Shi , Ling Liu , Deniz Gündüz , Cong Ling

Recent results have shown that structured codes can be used to construct good channel codes, source codes and physical layer network codes for Gaussian channels. For Gaussian channels with secrecy constraints, however, efforts to date rely…

Information Theory · Computer Science 2009-07-31 Xiang He , Aylin Yener

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

Existing error correction mechanisms in lattice-based public key encryption (PKE) rely on either naive modulation or its concatenation with error correction codes (ECC). This paper shows that lattice coding, as a joint ECC and modulation…

Information Theory · Computer Science 2023-05-23 Shanxiang Lyu , Ling Liu , Cong Ling , Junzuo Lai , Hao Chen

We consider compound multi-input multi-output (MIMO) wiretap channels where minimal channel state information at the transmitter (CSIT) is assumed. Code construction is given for the special case of isotropic mutual information, which…

Information Theory · Computer Science 2019-10-09 Antonio Campello , Cong Ling , Jean-Claude Belfiore

A novel construction of lattices is proposed. This construction can be thought of as a special class of Construction A from codes over finite rings that can be represented as the Cartesian product of $L$ linear codes over…

Information Theory · Computer Science 2017-06-23 Yu-Chih Huang , Krishna R. Narayanan

In this paper, we propose a low-complexity, secrecy capacity achieving polar coding scheme for the cognitive interference channel with confidential messages (CICC) under the strong secrecy criterion. Existing polar coding schemes for…

Information Theory · Computer Science 2017-10-30 Mengfan Zheng , Wen Chen , Cong Ling

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