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We consider the problem of using polar codes with higher order modulation over AWGN channels. Unlike prior work, we focus on using modulation independent polar codes. That is, the polar codes are not re-designed based on the modulation…

Information Theory · Computer Science 2016-10-03 Saurabha R Tavildar

Practical implementations of secret-key generation are often based on sequential strategies, which handle reliability and secrecy in two successive steps, called reconciliation and privacy amplification. In this paper, we propose an…

Information Theory · Computer Science 2015-08-07 Remi A. Chou , Matthieu R. Bloch , Emmanuel Abbe

A concatenated coding scheme over binary memoryless symmetric (BMS) channels using a polarization transformation followed by outer sub-codes is analyzed. Achievable error exponents and upper bounds on the error rate are derived. The first…

Information Theory · Computer Science 2017-10-24 Dina Goldin , David Burshtein

This paper proposes a method to optimize communication code rates via the application of neural polar decoders (NPDs). Employing this approach enables simultaneous optimization of code rates over input distributions while providing a…

Information Theory · Computer Science 2025-06-23 Ziv Aharoni , Bashar Huleihel , Henry D Pfister , Haim H Permuter

Polar codes provably achieve the symmetric capacity of a memoryless channel while having an explicit construction. This work aims to increase the throughput of polar decoder hardware by an order of magnitude relative to the state of the art…

Hardware Architecture · Computer Science 2015-05-20 Gabi Sarkis , Pascal Giard , Alexander Vardy , Claude Thibeault , Warren J. Gross

Polar codes under successive cancellation decoding proposed by Ar{\i}kan provably achieve the symmetric capacity of any given binary-input discrete memoryless channel. The successive cancellation list decoder for polar codes was described…

Information Theory · Computer Science 2017-12-14 Zhuo Li , Lijuan Xing , Ba-Zhong Shen

This paper proposes a new coded modulation scheme for reliable transmission of short data packets at very low signal-to-noise ratio, combining cyclic code shift keying modulation and non-binary polar coding. We consider non-binary polar…

Information Theory · Computer Science 2022-04-07 Valentin Savin

In this paper, we shed light on how an adaptive, efficient error coding in the transport layer helps ensure the application requirements. We recap the use of MDS codes and show that binary coding can significantly reduce the complexity and…

Information Theory · Computer Science 2022-02-22 Pablo Gil Pereira , Thorsten Herfet

This paper introduces techniques to construct binary polar source/channel codes based on the bit error probability of successive-cancellation decoding. The polarization lemma is reconstructed based on the bit error probability and then…

Information Theory · Computer Science 2022-05-16 Jun Muramatsu

We show that polar codes asymptotically achieve the whole capacity-equivocation region for the wiretap channel when the wiretapper's channel is degraded with respect to the main channel, and the weak secrecy notion is used. Our coding…

Information Theory · Computer Science 2010-09-27 Mattias Andersson , Vishwambhar Rathi , Ragnar Thobaben , Joerg Kliewer , Mikael Skoglund

Constructing efficient low-rate error-correcting codes with low-complexity encoding and decoding have become increasingly important for applications involving ultra-low-power devices such as Internet-of-Things (IoT) networks. To this end,…

Information Theory · Computer Science 2020-11-02 Fariba Abbasi , Hessam Mahdavifar , Emanuele Viterbo

It is shown that nested polar codes achieve the Shannon rate-distortion function for arbitrary (binary or non-binary) discrete memoryless sources and the Shannon capacity of arbitrary discrete memoryless channels.

Information Theory · Computer Science 2014-01-28 Aria G. Sahebi , S. Sandeep Pradhan

A generalization of Ar\i kan's polar code construction using transformations of the form $G^{\otimes n}$ where $G$ is an $\ell \times \ell$ matrix is considered. Necessary and sufficient conditions are given for these transformations to…

Information Theory · Computer Science 2008-11-12 Satish Babu Korada , Eren Sasoglu

In this paper, we propose a coding scheme based on polar codes for empirical coordination of autonomous devices. We consider a two-node network with a noisy link in which the input and output signals have to be coordinated with the source…

Information Theory · Computer Science 2018-02-28 Giulia Cervia , Laura Luzzi , Maël Le Treust , Matthieu R. Bloch

Recently, Ar{\i}kan introduced the method of channel polarization on which one can construct efficient capacity-achieving codes, called polar codes, for any binary discrete memoryless channel. In the thesis, we show that decoding algorithm…

Information Theory · Computer Science 2010-02-19 Ryuhei Mori

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

The general subject considered in this thesis is a recently discovered coding technique, polar coding, which is used to construct a class of error correction codes with unique properties. In his ground-breaking work, Ar{\i}kan proved that…

Information Theory · Computer Science 2014-12-16 Mine Alsan

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

Non-orthogonal multiple access (NOMA) schemes have been proved to increase the multiple-access achievable rate with respect to orthogonal multiple access (OMA). In this paper we propose a novel communication system that combines multi-level…

Information Theory · Computer Science 2017-01-23 Beatrice Tomasi , Frédéric Gabry , Valerio Bioglio , Ingmar Land , Jean-Claude Belfiore

For the polar codes introduced by Arikan in 2009, the first code family achieving the capacity of binary-input discrete memoryless channels (BIDMCs) with low-complexity encoding and decoding, it is crucial to evaluate the reliability of the…

Information Theory · Computer Science 2026-04-29 Yadong Jiao , Xiaoyan Cheng , Yuansheng Tang , Ming Xu