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Subcode-ensemble decoders improve iterative decoding by running multiple decoders in parallel over carefully chosen subcodes, increasing the likelihood that at least one decoder avoids the dominant trapping structures. Achieving strong…

Information Theory · Computer Science 2026-02-10 Yubeen Jo , Geon Choi , Chanho Park , Namyoon Lee

We study the application of polar codes in deletion channels by analyzing the cascade of a binary erasure channel (BEC) and a deletion channel. We show how polar codes can be used effectively on a BEC with a single deletion, and propose a…

Information Theory · Computer Science 2017-01-10 Eldho K. Thomas , Vincent Y. F. Tan , Alexander Vardy , Mehul Motani

An efficient scheme to increase the performance of polar codes at short and moderate block lengths is a concatenation of CRC code and a polar code. In order to obtain better result of the concatenation, a CRC code with best error control…

Information Theory · Computer Science 2019-12-17 Tsonka Baicheva , Peter Kazakov

Polar codes are a recent family of error-correcting codes with a number of desirable characteristics. Their disruptive nature is illustrated by their rapid adoption in the $5^{th}$-generation mobile-communication standard, where they are…

Signal Processing · Electrical Eng. & Systems 2023-01-09 Pascal Giard , Alexios Balatsoukas-Stimming , Andreas Burg

A shortening method for large polarization kernels is presented, which results in shortened kernels with the highest error exponent if applied to kernels of size up to 32. It uses lower and upper bounds on partial distances for quick…

Information Theory · Computer Science 2021-10-15 Grigorii Trofimiuk

Rotation symmetric bosonic codes are an attractive encoding for qubits into oscillator degrees of freedom, particularly in superconducting qubit experiments. While these codes can tolerate considerable loss and dephasing, they will need to…

Quantum Physics · Physics 2024-05-30 Juliette Soule , Andrew C. Doherty , Arne L. Grimsmo

Product codes are widespread in optical communications, thanks to their high throughput and good error-correction performance. Systematic polar codes have been recently considered as component codes for product codes. In this paper, we…

Information Theory · Computer Science 2019-01-23 Valerio Bioglio , Carlo Condo , Ingmar Land

In blind detection, a set of candidates has to be decoded within a strict time constraint, to identify which transmissions are directed at the user equipment. Blind detection is required by the 3GPP LTE/LTE-Advanced standard, and it will be…

Information Theory · Computer Science 2018-01-08 Carlo Condo , Seyyed Ali Hashemi , Arash Ardakani , Furkan Ercan , Warren J. Gross

A hybrid automatic repeat request scheme with Chase combing (HARQ-CC) of polar codes is proposed. The existing analysis tools of the underlying rate-compatible punctured polar (RCPP) codes for additive white Gaussian noise (AWGN) channels…

Information Theory · Computer Science 2014-01-13 Kai Chen , Kai Niu , Zhiqiang He , Jiaru Lin

This contribution lists challenges of Monte Carlo event generators for future lepton, especially linear colliders. A lot of the recent development benefits from the achievements at the Large Hadron Collider (LHC), but several aspects are…

High Energy Physics - Phenomenology · Physics 2024-12-19 Jürgen Reuter

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

Polar codes are a new class of capacity-achieving error-correcting codes with low encoding and decoding complexity. Their low-complexity decoding algorithms rendering them attractive for use in software-defined radio applications where…

Information Theory · Computer Science 2016-07-12 Pascal Giard , Gabi Sarkis , Camille Leroux , Claude Thibeault , Warren J. Gross

It is well known that to fulfill their full potential, the design of polar codes must be tailored to their intended decoding algorithm. While for successive cancellation (SC) decoding, information theoretically optimal constructions are…

Information Theory · Computer Science 2022-12-01 Marvin Geiselhart , Andreas Zunker , Ahmed Elkelesh , Jannis Clausius , Stephan ten Brink

-We develop a polar coding scheme for empirical coordination in a two-node network with a noisy link in which the input and output signals have to be coordinated with the source and the reconstruction. In the case of non-causal encoding and…

Information Theory · Computer Science 2016-09-22 Giulia Cervia , Laura Luzzi , Matthieu Bloch , Maël Le Treust

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

Over the past decade, polar codes have received significant traction and have been selected as the coding method for the control channel in fifth-generation (5G) wireless communication systems. However, conventional polar codes are reliant…

Information Theory · Computer Science 2023-05-09 Hossein Rezaei , Elham Abbasi , Nandana Rajatheva , Matti Latva-aho

In this paper, we investigate a novel family of polar codes based on multi-kernel constructions, proving that this construction actually polarizes. To this end, we derive a new and more general proof of polarization, which gives sufficient…

Information Theory · Computer Science 2017-10-02 Meryem Benammar , Valerio Bioglio , Frederic Gabry , Ingmar Land

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

We propose a linear-optical implementation of a hyperentanglement-assisted quantum error-correcting code. The code is hyperentanglement-assisted because the shared entanglement resource is a photonic state hyperentangled in polarization and…

Quantum Physics · Physics 2009-10-23 Mark M. Wilde , Dmitry B. Uskov

In this paper, we propose a comprehensive Polar coding solution that integrates reliability calculation, rate matching and parity-check coding. Judging a channel coding design from the industry's viewpoint, there are two primary concerns:…

Information Theory · Computer Science 2018-01-12 Huazi Zhang , Rong Li , Jian Wang , Shengchen Dai , Gongzheng Zhang , Ying Chen , Hejia Luo , Jun Wang