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In a classical wiretap channel setting, Alice communicates with Bob through a main communication channel, while her transmission also reaches an eavesdropper Eve through a wiretap channel. In this paper, we consider a general class of polar…

Information Theory · Computer Science 2024-07-02 Hessam Mahdavifar , Fariba Abbasi

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

Polar encoding, described by Arikan in IEEE Transactions on Information Theory, Vol. 55, No. 7, July 2009, was a milestone for telecommunications. A Polar code distributes information among high and low-capacity channels, showing the…

Information Theory · Computer Science 2025-07-29 Geraldo A. Barbosa

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

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 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

This paper proposes an efficient secret key cryptosystem based on polar codes over Binary Erasure Channel. We introduce a method, for the first time to our knowledge, to hide the generator matrix of the polar codes from an attacker. In…

Cryptography and Security · Computer Science 2013-08-02 Reza Hooshmand , Masoumeh Koochak Shooshtari , Mohammad Reza Aref

We develop a low-complexity polar coding scheme for the discrete memoryless broadcast channel with confidential messages under strong secrecy and randomness constraints. Our scheme extends previous work by using an optimal rate of uniform…

Information Theory · Computer Science 2016-03-08 Remi A. Chou , Matthieu R. Bloch

We study the multi-receiver wiretap channel with public and confidential messages. In this channel, there is a transmitter that wishes to communicate with two legitimate users in the presence of an external eavesdropper. The transmitter…

Information Theory · Computer Science 2011-06-22 Ersen Ekrem , Sennur Ulukus

The problem of secure broadcasting with independent secret keys is studied. The particular scenario is analyzed in which a common message has to be broadcast to two legitimate receivers, while keeping an external eavesdropper ignorant of…

Information Theory · Computer Science 2018-02-20 Rafael F. Schaefer , Ashish Khisti , H. Vincent Poor

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

Polar-coded multiple-input multiple-output systems are investigated. An advanced receiver implementing joint list decoding of polar codes and QR- and MMSE-based detectors is proposed. The approximate and exact path metrics are derived for…

Information Theory · Computer Science 2025-08-29 Liudmila Karakchieva , Peter Trifonov

This paper examines linear beamforming methods for secure communications in a multiuser wiretap channel with a single transmitter, multiple legitimate receivers, and a single eavesdropper, where all nodes are equipped with multiple…

Information Theory · Computer Science 2009-10-15 Amitav Mukherjee , A. Lee Swindlehurst

The role of multiple antennas for secure communication is investigated within the framework of Wyner's wiretap channel. We characterize the secrecy capacity in terms of generalized eigenvalues when the sender and eavesdropper have multiple…

Information Theory · Computer Science 2007-08-31 Ashish Khisti , Gregory Wornell

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

In this paper, we investigate multi-message authentication to combat adversaries with infinite computational capacity. An authentication framework over a wiretap channel $(W_1,W_2)$ is proposed to achieve information-theoretic security with…

Cryptography and Security · Computer Science 2018-08-19 Dajiang Chen , Ning Zhang , Nan Cheng , Kuan Zhang , Kan Yang , Zhiguang Qin , Xuemin Shen

In this paper, the problem of securely computing a function over the binary modulo-2 adder multiple-access wiretap channel is considered. The problem involves a legitimate receiver that wishes to reliably and efficiently compute a function…

Information Theory · Computer Science 2016-11-15 Mario Goldenbaum , Holger Boche , H. Vincent Poor

The wiretap channel model of Wyner is one of the first communication models with both reliability and security constraints. Capacity-achieving schemes for various models of the wiretap channel have received considerable attention in recent…

Information Theory · Computer Science 2016-11-04 Talha Cihad Gulcu , Alexander Barg

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 are introduced for discrete memoryless broadcast channels. For $m$-user deterministic broadcast channels, polarization is applied to map uniformly random message bits from $m$ independent messages to one codeword while…

Information Theory · Computer Science 2015-04-15 Naveen Goela , Emmanuel Abbe , Michael Gastpar