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Related papers: CRC Codes as Error Correction Codes

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CRC-Polar codes under SC list decoding are well-regarded for their competitive error performance. This paper examines these codes by focusing on minimum weight codewords, breaking them down into the rows of the polar transform. Inspired by…

Information Theory · Computer Science 2025-02-06 Xinyi Gu , Mohammad Rowshan , Jinhong Yuan

Turbo codes and CRC codes are usually decoded separately according to the serially concatenated inner codes and outer codes respectively. In this letter, we propose a hybrid decoding algorithm of turbo-CRC codes, where the outer codes, CRC…

Signal Processing · Electrical Eng. & Systems 2020-03-26 Yuejun Wei , Ming Jiang , Wen Chen , Yuhang Yang

Long polar codes can achieve the symmetric capacity of arbitrary binary-input discrete memoryless channels under a low complexity successive cancelation (SC) decoding algorithm. However, for polar codes with short and moderate code length,…

Hardware Architecture · Computer Science 2014-11-18 Jun Lin , Zhiyuan Yan

Benefiting from performance advantages under short code lengths, polar codes are well-suited for certain scenarios, such as the future Internet of Things (IoT) applications that require high reliability and low power. Existing list flip…

Information Theory · Computer Science 2025-04-01 Yansong Lv , Jingxin Dai , Yuhuan Wang , Hang Yin , Zhanxin Yang

Within the Guessing Random Additive Noise Decoding (GRAND) family, ordered reliability bits GRAND (ORBGRAND) has received considerable attention for its hardware-friendly exploitation of soft information. Existing information-theoretic…

Information Theory · Computer Science 2026-03-12 Zhuang Li , Wenyi Zhang

Guessing Random Additive Noise Decoding (GRAND) is a recently proposed Maximum Likelihood (ML) decoding technique. Irrespective of the structure of the error correcting code, GRAND tries to guess the noise that corrupted the codeword in…

Information Theory · Computer Science 2021-08-31 Syed Mohsin Abbas , Marwan Jalaleddine , Warren J. Gross

Polar codes are the first class of error correcting codes that provably achieve the channel capacity at infinite code length. They were selected for use in the fifth generation of cellular mobile communications (5G). In practical scenarios…

Information Theory · Computer Science 2018-11-02 Nghia Doan , Seyyed Ali Hashemi , Elie Ngomseu Mambou , Thibaud Tonnellier , Warren J. Gross

We propose a novel coded integrated passive sensing and communication (CIPSAC) system with orthogonal frequency division multiplexing (OFDM), where a multi-antenna base station (BS) passively senses the parameters of the targets and decodes…

Signal Processing · Electrical Eng. & Systems 2025-02-19 Chenghong Bian , Kaitao Meng , Huihui Wu , Yumeng Zhang , Deniz Gunduz

The 5th generation wireless systems (5G) standardization process of the 3rd generation partnership project (3GPP) chose polar codes as a channel coding scheme for the control channel. In case of downlink control information, polar codes are…

Information Theory · Computer Science 2020-01-28 Charles Pillet , Valerio Bioglio , Carlo Condo

Motivated by the need for channel codes with low-complexity soft-decision decoding algorithms, we consider the recursive Plotkin concatenation of optimal low-rate and high-rate codes based on simplex codes and their duals. These component…

Information Theory · Computer Science 2025-10-14 Andreas Zunker , Marvin Rübenacke , Stephan ten Brink

Fast SC decoding overcomes the latency caused by the serial nature of the SC decoding by identifying new nodes in the upper levels of the SC decoding tree and implementing their fast parallel decoders. In this work, we first present a novel…

Next-generation wireless communication systems impose much stricter requirements for transmission rate, latency, and reliability. The peak data rate of 6G networks should be no less than 1 Tb/s, which is comparable to existing long-haul…

Information Theory · Computer Science 2024-10-28 Kirill Andreev , Pavel Rybin , Alexey Frolov

Supporting ultra-reliable and low-latency communication (URLLC) is a challenge in current wireless systems. Channel codes that generate large codewords improve reliability but necessitate the use of interleavers, which introduce undesirable…

Information Theory · Computer Science 2023-07-12 Sahar Allahkaram , Francisco A. Monteiro , Ioannis Chatzigeorgiou

Data center networks (DCNs) require a low-cost, low-power optical transceiver to handle increased traffic from generative artificial intelligence, video streaming services, and more. Improving the required signal-to-noise ratio (RSNR) by…

Signal Processing · Electrical Eng. & Systems 2025-09-09 Takeshi Kakizaki , Masanori Nakamura , Fukutaro Hamaoka , Shuto Yamamoto , Etsushi Yamazaki

Storage systems have a strong need for substantially improving their error correction capabilities, especially for long-term storage where the accumulating errors can exceed the decoding threshold of error-correcting codes (ECCs). In this…

Information Theory · Computer Science 2018-11-12 Pulakesh Upadhyaya , Anxiao , Jiang

We present a method for estimating the undetected error rate when a cyclic redundancy check (CRC) is performed on the output of the decoder of short low-density parity-check (LDPC) codes. This system is of interest for telecommand links,…

Information Theory · Computer Science 2016-11-18 Marco Baldi , Nicola Maturo , Giacomo Ricciutelli , Franco Chiaraluce

For finite length polar codes, channel polarization leaves a significant number of channels not fully polarized. Adding a Cyclic Redundancy Check (CRC) to better protect information on the semi-polarized channels has already been…

Information Theory · Computer Science 2016-11-14 A. Elkelesh , M. Ebada , S. Cammerer , S. ten Brink

In this letter, we explore the performance limits of short polar codes and find that the maximum likelihood (ML) performance of a simple CRC-polar concatenated scheme can approach the finite blocklength capacity. Then, in order to approach…

Information Theory · Computer Science 2019-10-09 Jinnan Piao , Kai Niu , Jincheng Dai , Chao Dong

Due to their provably capacity-achieving performance, polar codes have attracted a lot of research interest recently. For a good error-correcting performance, list successive-cancellation decoding (LSCD) with large list size is used to…

Information Theory · Computer Science 2018-07-02 YouZhe Fan , ChenYang Xia , Ji Chen , Chi-Ying Tsui , Jie Jin , Hui Shen , Bin Li

Traditional error-correcting codes (ECCs) assume a fixed message length, but many scenarios involve ongoing or indefinite transmissions where the message length is not known in advance. For example, when streaming a video, the user should…

Data Structures and Algorithms · Computer Science 2025-04-09 Klim Efremenko , Or Zamir