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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

The problem of joint shaping and precoding is studied in this paper. We introduce statistical dependencies among consecutive symbols to shape the constellation while minimizing the total transmit power when the signal goes through the…

Signal Processing · Electrical Eng. & Systems 2025-05-27 Babaee Ramin , Oveis Gharan Shahab , Bouchard Martin

Polar codes are usually constructed by ranking synthetic bit-channels according to reliability, which guarantees capacity-achieving behavior but can yield poor low-weight spectra at short and moderate lengths. Recent algebraic results…

Information Theory · Computer Science 2026-01-21 Mohammad Rowshan , Vlad-Florin Dragoi

We construct a joint coordination-channel polar coding scheme for strong coordination of actions between two agents $\mathsf X$ and $\mathsf Y$, which communicate over a discrete memoryless channel (DMC) such that the joint distribution of…

Information Theory · Computer Science 2018-08-16 Sarah A. Obead , Jörg Kliewer , Badri N. Vellambi

We propose a self-supervised deep learning-based decoding scheme that enables one-shot decoding of polar codes. In the proposed scheme, rather than using the information bit vectors as labels for training the neural network (NN) through…

Information Theory · Computer Science 2023-08-01 Huiying Song , Yihao Luo , Yuma Fukuzawa

Constellation shaping is an energy-efficient strategy involving the transmission of lower-energy signals more frequently than higher-energy signals. Previous work has shown that shaping is particularly effective when used with coded…

Information Theory · Computer Science 2012-10-18 Xingyu Xiang , Matthew C. Valenti

Polar coding over a class of binary discrete memoryless channels with channel knowledge at the encoder is studied. It is shown that polar codes achieve the capacity of convex and one-sided classes of symmetric channels.

Information Theory · Computer Science 2013-12-02 Mine Alsan

Polar coding is a recently proposed coding technique that can provably achieve the channel capacity. The polar code structure, which is based on the original 2x2 generator matrix, polarises the channels, i.e., a portion of the channel…

Information Theory · Computer Science 2019-01-08 Berksan Serbetci , Ali Emre Pusane

Recently, a purely quantum version of polar codes has been proposed in [1] based on a quantum channel combining and splitting procedure, where a randomly chosen two-qubit Clifford unitary acts as channel combining operation. Here, we…

Quantum Physics · Physics 2025-03-12 Ashutosh Goswami , Mehdi Mhalla , Valentin Savin

A coding scheme for broadcast channels (BCs) is proposed that shifts the users' code blocks by different amounts of time and applies alternating Gelfand-Pinsker encoding. The scheme achieves all rate tuples in Marton's region for two…

Information Theory · Computer Science 2025-07-08 Constantin Runge , Gerhard Kramer

Source polar coding is a potential solution for short blocklength-based low-latency key generation with limited sources, which is a critical aspect of six generation (6G) Internet of things. However, existing source coding schemes still…

Signal Processing · Electrical Eng. & Systems 2025-10-07 Lulu Song , Di Zhang , Tingting Zhang

Constrained sequence codes have been widely used in modern communication and data storage systems. Sequences encoded with constrained sequence codes satisfy constraints imposed by the physical channel, hence enabling efficient and reliable…

Information Theory · Computer Science 2018-09-07 Congzhe Cao , Duanshun Li , Ivan Fair

A deep-learning-aided successive-cancellation list (DL-SCL) decoding algorithm for polar codes is introduced with deep-learning-aided successive-cancellation (DL-SC) decoding being a specific case of it. The DL-SCL decoder works by allowing…

Information Theory · Computer Science 2019-12-04 Seyyed Ali Hashemi , Nghia Doan , Thibaud Tonnellier , Warren J. Gross

Belief propagation (BP) is an iterative decoding algorithm for polar codes which can be parallelized effectively to achieve higher throughput. However, because of the presence of error floor due to cycles and stopping sets in the factor…

Information Theory · Computer Science 2020-03-05 Vismika Ranasinghe , Nandana Rajatheva , Matti Latva-aho

We describe a novel approach to interpret a polar code as a low-density parity-check (LDPC)-like code with an underlying sparse decoding graph. This sparse graph is based on the encoding factor graph of polar codes and is suitable for…

Information Theory · Computer Science 2018-05-15 Sebastian Cammerer , Moustafa Ebada , Ahmed Elkelesh , Stephan ten Brink

Polar codes are of great interest since they are the first provably capacity-achieving forward error correction codes. To improve throughput and to reduce decoding latency of polar decoders, maximum likelihood (ML) decoding units are used…

Information Theory · Computer Science 2015-10-27 Chenrong Xiong , Jun Lin , Zhiyuan Yan

This paper proposes a joint design of probabilistic constellation shaping (PCS) and precoding to enhance the sum-rate performance of multi-user visible light communications (VLC) broadcast channels subject to signal amplitude constraint. In…

Systems and Control · Electrical Eng. & Systems 2025-02-14 Thang K. Nguyen , Thanh V. Pham , Hoang D. Le , Chuyen T. Nguyen , Anh T. Pham

In this paper, we propose a new polar coding scheme with molecular programming, which is capable of highly parallel implementation at a nano-scale without a need of electrical power sources. We designed chemical reaction networks (CRN) to…

Information Theory · Computer Science 2019-03-12 Toshiki Matsumine , Toshiaki Koike-Akino , Ye Wang

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

The definition of polar codes given by Arikan is explicit, but the construction complexity is an issue. This is due to the exponential growth in the size of the output alphabet of the bit-channels as the codeword length increases. Tal and…

Information Theory · Computer Science 2013-05-29 Arash Ghayoori , T. Aaron Gulliver