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To extend the applications of polar codes within next-generation wireless communication systems, it is essential to incorporate support for Incremental Redundancy (IR) Hybrid Automatic Repeat Request (HARQ) schemes. The baseline IR-HARQ…

Signal Processing · Electrical Eng. & Systems 2025-10-03 Marwan Jalaleddine , Jiajie Li , Warren J. Gross

Consider the problem of constructing a polar code of block length $N$ for the transmission over a given channel $W$. Typically this requires to compute the reliability of all the $N$ synthetic channels and then to include those that are…

Information Theory · Computer Science 2017-07-17 Marco Mondelli , S. Hamed Hassani , Rüdiger Urbanke

Polar encoding, described by Arikan in IEEE Transactions on Information Theory, Vol. 55, No. 7, July 2009, was a milestone for telecommunications. A Polar code distributes information among high and low-capacity channels, showing the…

Information Theory · Computer Science 2025-07-29 Geraldo A. Barbosa

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

An implementation-efficient finite alphabet decoder for polar codes relying on coarsely quantized messages and low-complexity operations is proposed. Typically, finite alphabet decoding performs concatenated compression operations on the…

Information Theory · Computer Science 2023-05-29 Philipp Mohr , Syed Aizaz Ali Shah , Gerhard Bauch

We consider the problem of polar coding for transmission over $m$-user multiple access channels. In the proposed scheme, all users encode their messages using a polar encoder, while a multi-user successive cancellation decoder is deployed…

Information Theory · Computer Science 2016-11-17 Hessam Mahdavifar , Mostafa El-Khamy , Jungwon Lee , Inyup Kang

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

Multi-kernel polar codes have recently been proposed to construct polar codes of lengths different from powers of two. Decoder implementations for multi-kernel polar codes need to account for this feature, that becomes critical in memory…

Information Theory · Computer Science 2018-09-26 Valerio Bioglio , Carlo Condo , Ingmar Land

Tensor network codes enable structured construction and manipulation of stabilizer codes out of small seed codes. Here, we apply reinforcement learning to tensor network code geometries and demonstrate how optimal stabilizer codes can be…

Quantum Physics · Physics 2023-05-22 Caroline Mauron , Terry Farrelly , Thomas M. Stace

The use of quantum computation for wireless network applications is emerging as a promising paradigm to bridge the performance gap between in-practice and optimal wireless algorithms. While today's quantum technology offers limited number…

Networking and Internet Architecture · Computer Science 2022-10-21 Srikar Kasi , John Kaewell , Shahab Hamidi-Rad , Kyle Jamieson

Flexibility is one mandatory aspect of channel coding in modern wireless communication systems. Among other things, the channel decoder has to support several code lengths and code rates. This need for flexibility applies to polar codes…

Information Theory · Computer Science 2017-10-24 Mathieu Léonardon , Adrien Cassagne , Camille Leroux , Christophe Jégo , Louis-Philippe Hamelin , Yvon Savaria

In this work we propose RELDEC, a novel approach for sequential decoding of moderate length low-density parity-check (LDPC) codes. The main idea behind RELDEC is that an optimized decoding policy is subsequently obtained via reinforcement…

Information Theory · Computer Science 2023-07-28 Salman Habib , Allison Beemer , Joerg Kliewer

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

This paper presents our low-latency Polar code encoders and decoders developed for the 2025 International Symposium on Topics in Coding (ISTC 2025) contest, which challenges participants to implement the fastest possible channel code…

Networking and Internet Architecture · Computer Science 2025-07-08 Mathieu Leonardon , Mohammed El Houcine Ayoubi , Adrien Cassagne , Romain Tajan , Camille Leroux

Motivated by the need to communicate short control messages in 5G and beyond, this paper carefully designs codes for cyclic redundancy check (CRC)-aided list decoding of tail-biting convolutional codes (TBCCs) and polar codes. Both codes…

Information Theory · Computer Science 2023-02-16 Jacob King , Hanwen Yao , William Ryan , Richard D. Wesel

Polar codes were originally specified for codelengths that are powers of two. In many applications, it is desired to have a code that is not restricted to such lengths. Two common strategies of modifying the length of a code are shortening…

Information Theory · Computer Science 2024-01-31 Boaz Shuval , Ido Tal

Polar codes have gained significant amount of attention during the past few years and have been selected as a coding scheme for the next generation of mobile broadband standard. Among decoding schemes, successive-cancellation list (SCL)…

Information Theory · Computer Science 2017-08-31 Seyyed Ali Hashemi , Carlo Condo , Warren J. Gross

Protein sequence design, determined by amino acid sequences, are essential to protein engineering problems in drug discovery. Prior approaches have resorted to evolutionary strategies or Monte-Carlo methods for protein design, but often…

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

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