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A design of rate-compatible polar codes suitable for HARQ communications is proposed in this paper. An important feature of the proposed design is that the puncturing order is chosen with low complexity on a base code of short length, which…

Information Theory · Computer Science 2015-09-01 Mostafa El-Khamy , Hsien-Ping Lin , Jungwon Lee , Hessam Mahdavifar , Inyup Kang

This paper proposes a polar code construction scheme that reduces constituent-code supplemented decoding latency. Constituent codes are the sub-codewords with specific patterns. They are used to accelerate the successive cancellation…

Information Theory · Computer Science 2017-09-22 Tiben Che , Gwan Choi

In this paper, we study polar codes from a practical point of view. In particular, we study concatenated polar codes and rate-compatible polar codes. First, we propose a concatenation scheme including polar codes and Low-Density…

Information Theory · Computer Science 2011-07-28 Ali Eslami , Hossein Pishro-Nik

Polar code lattices are formed from binary polar codes using Construction D. In this paper, we propose a design technique for finite-dimension polar code lattices. The dimension $n$ and target probability of decoding error are parameters…

Information Theory · Computer Science 2021-02-09 Obed Rhesa Ludwiniananda , Ning Liu , Khoirul Anwar , Brian M. Kurkoski

Polar codes have been selected as the channel coding scheme for control channel in the fifth generation (5G) communication system thanks to their capacity achieving characteristics. However, the traditional polar codes support only codes…

Information Theory · Computer Science 2023-05-16 Hossein Rezaei , Nandana Rajatheva , Matti Latva-aho

Polar codes have received growing attention in the past decade and have been selected as the coding scheme for the control channel in the fifth generation (5G) wireless communication systems. However, the conventional polar codes have only…

Information Theory · Computer Science 2023-01-26 Hossein Rezaei , Nandana Rajatheva , Matti Latva-aho

Recently, automorphism ensemble decoding (AED) has drawn research interest as a more computationally efficient alternative to successive cancellation list (SCL) decoding of polar codes. Although AED has demonstrated superior performance for…

Information Theory · Computer Science 2023-05-03 Marvin Geiselhart , Jannis Clausius , Stephan ten Brink

Polar codes have emerged as the most favorable channel codes for their unique capacity-achieving property. To date, numerous works have been reported for efficient design of polar codes decoder. However, these prior efforts focused on…

Information Theory · Computer Science 2015-01-15 Bo Yuan , Keshab K. Parhi

Polar codes are capacity-achieving error-correcting codes with an explicit construction that can be decoded with low-complexity algorithms. In this work, we show how the state-of-the-art low-complexity decoding algorithm can be improved to…

Information Theory · Computer Science 2016-08-29 Pascal Giard , Alexios Balatsoukas-Stimming , Gabi Sarkis , Claude Thibeault , Warren J. Gross

In this paper, we propose \textit{selectively precoded polar (SPP) code}, built on top of Arikan's capacity achieving polar codes. We provide the encoding and decoding scheme for SPP code. Simulation results show that for a target frame…

Information Theory · Computer Science 2024-10-30 Samir Kumar Mishra , KwangChul Kim

Binary linear block codes (BLBCs) are essential to modern communication, but their diverse structures often require tailor-made decoders, increasing complexity. This work introduces enhanced polar decoding ($\mathsf{PD}^+$), a universal…

Information Theory · Computer Science 2025-05-16 Chien-Ying Lin , Yu-Chih Huang , Shin-Lin Shieh , Po-Ning Chen

Motivated by the need for channel codes with low-complexity soft-decision decoding algorithms, we consider the recursive Plotkin concatenation of optimal low-rate and high-rate codes based on simplex codes and their duals. These component…

Information Theory · Computer Science 2025-10-14 Andreas Zunker , Marvin Rübenacke , Stephan ten Brink

In this paper, we investigate a coupled polar code architecture that supports both local and global decoding. This local-global construction is motivated by practical applications in data storage and transmission where reduced-latency…

Information Theory · Computer Science 2023-01-09 Ziyuan Zhu , Wei Wu , Paul H. Siegel

Polar codes are the first class of constructive channel codes achieving the symmetric capacity of the binary-input discrete memoryless channels. But the analysis and construction of polar codes involve the complex iterative-calculation. In…

Information Theory · Computer Science 2019-11-26 Kai Niu , Yan Li , Weiling Wu

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

Polar codes are a new family of error correction codes for which efficient hardware architectures have to be defined for the encoder and the decoder. Polar codes are decoded using the successive cancellation decoding algorithm that includes…

Hardware Architecture · Computer Science 2015-01-12 Guillaume Berhault , Camille Leroux , Christophe Jego , Dominique Dallet

Polar codes are constructed for arbitrary channels by imposing an arbitrary quasigroup structure on the input alphabet. Just as with "usual" polar codes, the block error probability under successive cancellation decoding is…

Information Theory · Computer Science 2016-06-16 Rajai Nasser , Emre Telatar

In this paper, we introduce a novel class of pre-transformed polar codes, termed as deep polar codes. We first present a deep polar encoder that harnesses a series of multi-layered polar transformations with varying sizes. Our approach to…

Information Theory · Computer Science 2023-08-08 Geon Choi , Namyoon Lee

Quantum reading provides a general framework where to formulate the statistical discrimination of quantum channels. Several paths have been taken for such a problem. However, there is much to be done in the avenue of optimizing channel…

Information Theory · Computer Science 2022-06-22 Francisco Revson F. Pereira , Stefano Mancini

We introduce a new family of polar-like codes, called Partially Polarized Polar (PPP) codes. PPP codes are constructed from conventional polar codes by selectively pruning polarization kernels, thereby modifying the synthesized bit-channel…

Information Theory · Computer Science 2026-01-23 Arman Fazeli , Mohammad M. Mansour , Ziyuan Zhu , Louay Jalloul