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The advent of promising quantum error correction (QEC) codes with efficient resource utilization and high-performance fault-tolerant quantum memories signifies a critical step towards realizing practical quantum computation. While surface…

Quantum Physics · Physics 2026-01-28 Yidong Zhou , Lingyi Kong , Yifeng Peng , Zhiding Liang

The omnipresence of deep learning architectures such as deep convolutional neural networks (CNN)s is fueled by the synergistic combination of ever-increasing labeled datasets and specialized hardware. Despite the indisputable success, the…

Machine Learning · Statistics 2016-11-29 Meshia Cédric Oveneke , Mitchel Aliosha-Perez , Yong Zhao , Dongmei Jiang , Hichem Sahli

We present a general framework for studying the multilevel structure of lattice network coding (LNC), which serves as the theoretical fundamental for solving the ring-based LNC problem in practice, with greatly reduced decoding complexity.…

Information Theory · Computer Science 2015-11-12 Yi Wang , Alister Burr , Qinhui Huang , Mehdi Molu

Polar codes have promising error-correction capabilities. Yet, decoding polar codes is often challenging, particularly with large blocks, with recently proposed decoders based on list-decoding or neural-decoding. The former applies multiple…

Information Theory · Computer Science 2023-02-14 Tomer Raviv , Alon Goldman , Ofek Vayner , Yair Be'ery , Nir Shlezinger

In this paper, we investigate the scheduling design of a mobile edge computing (MEC) system, where active mobile devices with computation tasks randomly appear in a cell. Every task can be computed at either the mobile device or the MEC…

Information Theory · Computer Science 2020-04-17 Shanfeng Huang , Bojie Lv , Rui Wang , Kaibin Huang

A generalized low-density parity-check (GLDPC) code is a class of codes, where single parity check nodes in a conventional low-density parity-check (LDPC) code are replaced by linear codes with higher parity check constraints. In this…

Information Theory · Computer Science 2022-09-07 Jaewha Kim , Jae-Won Kim , Hee-Youl Kwak , Jong-Seon No

In this paper, we represent Raptor codes as multi-edge type low-density parity-check (MET-LDPC) codes, which gives a general framework to design them for higher-order modulation using MET density evolution. We then propose an efficient…

Information Theory · Computer Science 2017-01-17 Sachini Jayasooriya , Mahyar Shirvanimoghaddam , Lawrence Ong , Sarah J. Johnson

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

Joint encryption-encoding schemes have been released to fulfill both reliability and security desires in a single step. Using Low Density Parity Check (LDPC) codes in joint encryption-encoding schemes, as an alternative to classical linear…

Information Theory · Computer Science 2019-02-22 Hossein Khayami , Taraneh Eghlidos , Mohammad Reza Aref

We study Low-Density Parity-Check (LDPC) codes with iterative decoding on block-fading (BF) Relay Channels. We consider two users that employ coded cooperation, a variant of decode-and-forward with a smaller outage probability than the…

Information Theory · Computer Science 2012-10-05 Dieter Duyck , Joseph J. Boutros , Marc Moeneclaey

Multiple Description Coding (MDC) is a promising error-resilient source coding method that is particularly suitable for dynamic networks with multiple (yet noisy and unreliable) paths. However, conventional MDC video codecs suffer from…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Xinyue Hu , Wei Ye , Jiaxiang Tang , Eman Ramadan , Zhi-Li Zhang

We derive a new fast convergent Density Evolution algorithm for finding optimal rate Low-Density Parity-Check (LDPC) codes used over the binary erasure channel (BEC). The fast convergence property comes from the modified Density Evolution…

Information Theory · Computer Science 2014-09-18 Hassan Tavakoli

To obtain a better cycle-structure is still a challenge for the low-density parity-check (LDPC) code design. This paper formulates two metrics firstly so that the progressive edge-growth (PEG) algorithm and the approximate cycle extrinsic…

Information Theory · Computer Science 2019-04-16 Xuan He , Liang Zhou , Junyi Du

This paper presents new FEC codes for the erasure channel, LDPC-Band, that have been designed so as to optimize a hybrid iterative-Maximum Likelihood (ML) decoding. Indeed, these codes feature simultaneously a sparse parity check matrix,…

Information Theory · Computer Science 2009-01-23 Alexandre Soro , Mathieu Cunche , Jerome Lacan , Vincent Roca

Autoregressive decoding in large language models (LLMs) requires $\mathcal{O}(n)$ sequential steps for $n$ tokens, fundamentally limiting inference throughput. Recent diffusion-based LLMs (dLLMs) enable parallel token generation through…

Computation and Language · Computer Science 2025-10-06 Wenrui Bao , Zhiben Chen , Dan Xu , Yuzhang Shang

Large Language Models (LLMs) have become more prevalent in long-context applications such as interactive chatbots, document analysis, and agent workflows, but it is challenging to serve long-context requests with low latency and high…

Computation and Language · Computer Science 2025-04-03 Ranajoy Sadhukhan , Jian Chen , Zhuoming Chen , Vashisth Tiwari , Ruihang Lai , Jinyuan Shi , Ian En-Hsu Yen , Avner May , Tianqi Chen , Beidi Chen

Decoding-based regression, which reformulates regression as a sequence generation task, has emerged as a promising paradigm of applying large language models for numerical prediction. However, its progress is hindered by the misalignment…

Machine Learning · Computer Science 2025-12-09 Ming Chen , Sheng Tang , Rong-Xi Tan , Ziniu Li , Jiacheng Chen , Ke Xue , Chao Qian

Partial decoding has the potential to achieve a larger capacity region than full decoding in two-way relay (TWR) channels. Existing partial decoding realizations are however designed for Gaussian channels and with a static physical layer…

Information Theory · Computer Science 2016-11-15 Jianquan Liu , Meixia Tao , Youyun Xu

Quantum low-density parity-check (QLDPC) codes have been proven to achieve higher minimum distances at higher code rates than surface codes. However, this family of codes imposes stringent latency requirements and poor performance under…

Information Theory · Computer Science 2024-06-26 Dimitris Chytas , Nithin Raveendran , Bane Vasić

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