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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 an operation required by the 3GPP LTE/LTE-Advanced standard,…

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

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

Communications in highly dynamic channels relying on training-based channel estimation experience a trade-off between increasing channel measurement accuracy by sending more frequent training sequences and increasing data rate by sending…

Information Theory · Computer Science 2026-05-04 Duschia Bodet , Muriel Médard , Muralidhar Rangaswamy , Ken Duffy

Among error-correcting codes, polar codes are the first to provably achieve channel capacity with an explicit construction. In this work, we present software implementations of a polar decoder that leverage the capabilities of modern…

Information Theory · Computer Science 2015-05-20 Pascal Giard , Gabi Sarkis , 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

The use of deep neural network for decoding error control code will encounter two problems, namely, the high-precision requirements of the error control code and the complexity of the neural network due to the long code. In this paper, a…

Signal Processing · Electrical Eng. & Systems 2019-01-01 Jiang Xiaobo , Zhang Fang , Zeng Zhen

We study error bounds for linear programming decoding of regular LDPC codes. For memoryless binary-input output-symmetric channels, we prove bounds on the word error probability that are inverse doubly-exponential in the girth of the factor…

Information Theory · Computer Science 2011-04-12 Nissim Halabi , Guy Even

In this paper, we study the connection between polar codes and product codes. Our analysis shows that the product of two polar codes is again a polar code, and we provide guidelines to compute its frozen set on the basis of the frozen sets…

Information Theory · Computer Science 2020-04-22 Carlo Condo , Valerio Bioglio , Hartmut Hafermann , Ingmar Land

This paper introduces a novel approach called "friendly attack" aimed at enhancing the performance of error correction channel codes. Inspired by the concept of adversarial attacks, our method leverages the idea of introducing slight…

Information Theory · Computer Science 2024-01-26 Anastasiia Kurmukova , Deniz Gunduz

In coding theory, an error-correcting code can be encoded either systematically or non-systematically. In a systematic encode, the input data is embedded in the encoded output. Conversely, in a non-systematic code, the output does not…

Information Theory · Computer Science 2023-08-17 Mengfan Zheng

We investigate error propagation in sliding window decoding of braided convolutional codes (BCCs). Previous studies of BCCs have focused on iterative decoding thresholds, minimum distance properties, and their bit error rate (BER)…

Information Theory · Computer Science 2020-04-30 Min Zhu , David G. M. Mitchell , Michael Lentmaier , Daniel J. Costello, , Baoming Bai

We propose efficient coding schemes for two communication settings: 1. asymmetric channels, and 2. channels with an informed encoder. These settings are important in non-volatile memories, as well as optical and broadcast communication. The…

Information Theory · Computer Science 2015-12-31 Eyal En Gad , Yue Li , Joerg Kliewer , Michael Langberg , Anxiao Jiang , Jehoshua Bruck

The interest in polar codes has been increasing significantly since their adoption for use in the 5$^{\rm th}$ generation wireless systems standard. Successive cancellation (SC) decoding algorithm has low implementation complexity, but…

Information Theory · Computer Science 2018-09-28 Furkan Ercan , Carlo Condo , Warren J. Gross

Polar codes are a class of linear error correction codes which provably attain channel capacity with infinite codeword lengths. Finite length polar codes have been adopted into the 5th Generation 3GPP standard for New Radio, though their…

Information Theory · Computer Science 2019-02-07 Adam Cavatassi , Thibaud Tonnellier , Warren J. Gross

Accurate decoding of quantum error-correcting codes is a crucial ingredient in protecting quantum information from decoherence. It requires characterizing the error channels corrupting the logical quantum state and providing this…

Quantum Physics · Physics 2025-04-28 Volodymyr Sivak , Michael Newman , Paul Klimov

Polar codes with memory (PCM) are proposed in this paper: a pair of consecutive code blocks containing a controlled number of mutual information bits. The shared mutual information bits of the succeeded block can help the failed block to…

Information Theory · Computer Science 2019-07-02 Wenyue Zhou , Qiang Liu , Yifei Shen , Xiaofeng Zhou , Chuan Zhang , Yaohua Xu , Liping Li

We present a hardware-based implementation of Linear Program (LP) decoding for binary linear codes. LP decoding frames error-correction as an optimization problem. In contrast, variants of Belief Propagation (BP) decoding frame…

Information Theory · Computer Science 2016-11-21 Mitchell Wasson , Mario Milicevic , Stark C. Draper , Glenn Gulak

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

We propose a nonuniform quantized decoder for polar codes. The design metric of the quantizers is to minimize the distortion incurred by quantization. The quantizers are obtained via dynamic programming and the optimality of the quantizer…

Information Theory · Computer Science 2020-11-17 Zhiwei Cao , Hongfei Zhu , Yuping Zhao , Dou Li

We investigate the application of the factor graph framework for blind joint channel estimation and symbol detection on time-variant linear inter-symbol interference channels. In particular, we consider the expectation maximization (EM)…

Information Theory · Computer Science 2025-02-04 Luca Schmid , Tomer Raviv , Nir Shlezinger , Laurent Schmalen