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This paper presents the first proof of polarization for the deletion channel with a constant deletion rate and a regular hidden-Markov input distribution. A key part of this work involves representing the deletion channel using a trellis…

Information Theory · Computer Science 2020-07-24 Ido Tal , Henry D. Pfister , Arman Fazeli , Alexander Vardy

Similar to existing codes, puncturing and shortening are two general ways to obtain an arbitrary code length and code rate for polar codes. When some of the coded bits are punctured or shortened, it is equivalent to a situation in which the…

Information Theory · Computer Science 2019-10-23 Wei Song , Yifei Shen , Liping Li , Kai Niu , Chuan Zhang

The adversarial wiretap channel (AWTC) model is a secure communication model in which adversary can directly read and write the transmitted bits in legitimate communication with fixed fractions. In this paper we propose a secure polar…

Information Theory · Computer Science 2021-01-01 Yizhi Zhao

Information-theoretically secure communications are possible when channel noise is usable and when the channel has an intrinsic characteristic that a legitimate receiver (Bob) can use the noise more advantageously than an eavesdropper…

Cryptography and Security · Computer Science 2018-03-15 Tatsuya Tomaru

We propose a novel coupling technique for the design of polar codes of length N, making them decodable through a sliding window of size M < N. This feature allows to reduce the computational complexity of the decoder, an important…

Information Theory · Computer Science 2021-05-06 Valerio Bioglio , Carlo Condo , Ingmar Land

We propose a generalized construction for binary polar codes based on mixing multiple kernels of different sizes in order to construct polar codes of block lengths that are not only powers of integers. This results in a multi kernel polar…

Information Theory · Computer Science 2017-03-13 Frederic Gabry , Valerio Bioglio , Ingmar Land , Jean-Claude Belfiore

Polar codes are the latest breakthrough in coding theory, as they are the first family of codes with explicit construction that provably achieve the symmetric capacity of discrete memoryless channels. Ar{\i}kan's polar encoder and…

Information Theory · Computer Science 2017-03-01 Mostafa El-Khamy , Hessam Mahdavifar , Gennady Feygin , Jungwon Lee , Inyup Kang

In this paper, we design explicit codes for strong coordination in two-node networks. Specifically, we consider a two-node network in which the action imposed by nature is binary and uniform, and the action to coordinate is obtained via a…

Information Theory · Computer Science 2012-10-09 Matthieu R. Bloch , Laura Luzzi , Joerg Kliewer

A hybrid automatic repeat request (HARQ) scheme based on a novel class of rate-compatible polar (\mbox{RCP}) codes are proposed. The RCP codes are constructed by performing punctures and repetitions on the conventional polar codes.…

Information Theory · Computer Science 2016-11-17 Kai Chen , Kai Niu , Jiaru Lin

Polar codes is promising because they can provably achieve the channel capacity while having an explicit construction method. Lots of work have been done for the bit-based decoding algorithm for polar codes. In this paper, generalized…

Information Theory · Computer Science 2016-11-15 Chenrong Xiong , Jun Lin , Zhiyuan Yan

Arikan's recursive code construction is designed to polarize a collection of memoryless channels into a set of good and a set of bad channels, and it can be efficiently decoded using successive cancellation. It was recently shown that the…

Information Theory · Computer Science 2019-01-16 Benjamin Bourassa , Maxime Tremblay , David Poulin

The two-terminal key agreement problem with biometric or physical identifiers is considered. Two linear code constructions based on Wyner-Ziv coding are developed. The first construction uses random linear codes and achieves all points of…

Information Theory · Computer Science 2020-02-27 Onur Günlü , Onurcan İşcan , Vladimir Sidorenko , Gerhard Kramer

This paper discusses the application of known techniques, knowledge and technology in a novel way for encryption. Two distinct and separate methods are presented. Method 1: Alter the symbol set of the language by adding additional redundant…

Cryptography and Security · Computer Science 2012-07-05 Givon Zirkind

Motivated by an increasing need for privacy-preserving voice communications, we investigate here the original idea of sending encrypted data and speech in the form of pseudo-speech signals in the audio domain. Being less constrained than…

Cryptography and Security · Computer Science 2022-11-15 Piotr Krasnowski , Jerome Lebrun , Bruno Martin

An extension of polar codes is proposed, which allows some of the frozen symbols, called dynamic frozen symbols, to be data-dependent. A construction of polar codes with dynamic frozen symbols, being subcodes of extended BCH codes, is…

Information Theory · Computer Science 2016-11-17 Peter Trifonov , Vera Miloslavskaya

In this work, we present hardware and software implementations of flexible polar systematic encoders and decoders. The proposed implementations operate on polar codes of any length less than a maximum and of any rate. We describe the…

Information Theory · Computer Science 2016-08-29 Gabi Sarkis , Ido Tal , Pascal Giard , Alexander Vardy , Claude Thibeault , Warren J. Gross

A method for construction of polar subcodes is presented, which aims on minimization of the number of low-weight codewords in the obtained codes, as well as on improved performance under list or sequential decoding. Simulation results are…

Information Theory · Computer Science 2017-05-04 Peter Trifonov , Grigorii Trofimiuk

Physical unclonable functions (PUFs) are relatively new security primitives used for device authentication and device-specific secret key generation. In this paper we focus on SRAM-PUFs. The SRAM-PUFs enjoy uniqueness and randomness…

Information Theory · Computer Science 2018-05-03 Bin Chen , Tanya Ignatenko , Frans M. J. Willems , Roel Maes , Erik van der Sluis , Georgios Selimis

Confidentiality was and will always remain a critical need in the exchanges either between persons or the official parties. Recently, cryptology has made a jump, from classical form to the quantum one, we talk about quantum cryptography.…

Cryptography and Security · Computer Science 2013-09-18 Sadek Bouroubi , Fella Charchali , Nesrine Benyanhia Tani

The ability to hide information from unauthorized individuals has been a prevalent issue over the years. Countless algorithms such as DES, AES and SHA have been developed. These algorithms depend on varying key length and key management…

Cryptography and Security · Computer Science 2012-09-14 Samuel King Opoku
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