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Achieving security against adversaries with unlimited computational power is of great interest in a communication scenario. Since polar codes are capacity achieving codes with low encoding-decoding complexity and they can approach perfect…

Information Theory · Computer Science 2018-01-23 Amirsina Torfi , Sobhan Soleymani , Siamak Aram , Vahid Tabataba Vakili

This paper presents a coding scheme for an insertion deletion substitution channel. We extend a previous scheme for the deletion channel where polar codes are modified by adding "guard bands" between segments. In the new scheme, each guard…

Information Theory · Computer Science 2021-02-04 Henry D. Pfister , Ido Tal

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

A scheme for concatenating the recently invented polar codes with interleaved block codes is considered. By concatenating binary polar codes with interleaved Reed-Solomon codes, we prove that the proposed concatenation scheme captures the…

Information Theory · Computer Science 2013-02-01 Hessam Mahdavifar , Mostafa El-Khamy , Jungwon Lee , Inyup Kang

A generalization of the polar coding scheme called mixed-kernels is introduced. This generalization exploits several homogeneous kernels over alphabets of different sizes. An asymptotic analysis of the proposed scheme shows that its…

Information Theory · Computer Science 2015-03-25 Noam Presman , Ofer Shapira , Simon Litsyn

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

Bit-interleaved coded modulation (BICM) and multilevel coded modulation (MLC) are commonly used to combine polar codes with high order modulation. While BICM benefits from simple design and the separation of coding and modulation, MLC shows…

Information Theory · Computer Science 2022-02-16 Hanwen Yao , Jinfeng Du , Alexander Vardy

A reduced complexity sequential decoding algorithm for polar (sub)codes is described. The proposed approach relies on a decomposition of the polar (sub)code being decoded into a number of outer codes, and on-demand construction of codewords…

Information Theory · Computer Science 2020-07-08 Grigorii Trofimiuk , Nikolay Iakuba , Stanislav Rets , Kirill Ivanov , Peter Trifonov

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

Research on polar codes has been constantly gaining attention over the last decade, by academia and industry alike, thanks to their capacity-achieving error-correction performance and low-complexity decoding algorithms. Recently, they have…

Information Theory · Computer Science 2020-06-25 Carlo Condo , Valerio Bioglio , Ingmar Land

Polar codes were introduced in 2009 by Arikan as the first efficient encoding and decoding scheme that is capacity achieving for symmetric binary-input memoryless channels. Recently, this code family was extended by replacing the…

Information Theory · Computer Science 2018-05-24 Maxime Tremblay , Benjamin Bourassa , David Poulin

A new polar coding scheme for higher order modulation is presented. The proposed scheme is based on multi-level coding (MLC) with natural labeling, where the bit-level corresponding to the sign-bit is generated in dependence on the previous…

Information Theory · Computer Science 2019-10-30 Onurcan İşcan , Ronald Böhnke , Wen Xu

Polar codes are a family of capacity-achieving error-correcting codes, and they have been selected as part of the next generation wireless communication standard. Each polar code bit-channel is assigned a reliability value, used to…

Information Theory · Computer Science 2017-05-17 Carlo Condo , Seyyed Ali Hashemi , Warren J. Gross

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

We design polar codes for empirical coordination and strong coordination in two-node networks. Our constructions hinge on the fact that polar codes enable explicit low-complexity schemes for soft covering. We leverage this property to…

Information Theory · Computer Science 2018-06-08 Remi A. Chou , Matthieu Bloch , Joerg Kliewer

A polar coding scheme is introduced in this paper for the wire-tap channel. It is shown that the provided scheme achieves the entire rate-equivocation region for the case of symmetric and degraded wire-tap channel, where the weak notion of…

Information Theory · Computer Science 2015-03-17 Eran Hof , Shlomo Shamai

Classical source polar codes require the construction of frozen sets for given sources. While this scheme offers excellent theoretical performance, it faces challenges in practical data compression systems, including sensitivity to the…

Information Theory · Computer Science 2025-01-23 Zichang Ren , Yuping Zhao

The problem of communication over binary dirty paper (DP) using nested polar codes is considered. An improved scheme, focusing on low delay, short to moderate blocklength communication is proposed. Successive cancellation list (SCL)…

Information Theory · Computer Science 2019-04-05 Barak Beilin , David Burshtein

The training complexity of deep learning-based channel decoders scales exponentially with the codebook size and therefore with the number of information bits. Thus, neural network decoding (NND) is currently only feasible for very short…

Information Theory · Computer Science 2017-02-23 Sebastian Cammerer , Tobias Gruber , Jakob Hoydis , Stephan ten Brink

The long-haul communication systems can offer ultra high-speed data transfer rates but suffer from burst errors. The high-rate and high-performance staircase codes provide an efficient way for long-haul transmission. The staircase coding…

Information Theory · Computer Science 2018-05-28 Bowen Feng , Jian Jiao , Liu Zhou , Shaohua Wu , Bin Cao , Qinyu Zhang