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Function-Correcting Codes (FCCs) enable reliable computation of a function of a $k$-bit message over noisy channels without requiring full message recovery. In this work, we study optimal single-error correcting FCCs (SEFCCs) for…

Information Theory · Computer Science 2026-01-16 Rajlaxmi Pandey , Shiven Bajpai , Anjana A Mahesh , B. Sundar Rajan

Dual-functional radar-communication (DFRC) systems can simultaneously perform both radar and communication functionalities using the same hardware platform and spectrum resource. In this paper, we consider multi-input multi-output (MIMO)…

Signal Processing · Electrical Eng. & Systems 2022-01-25 Rang Liu , Ming Li , Qian Liu , A. Lee Swindlehurst

In random-access networks, such as the IEEE 802.11 network, different users may transmit their packets simultaneously, resulting in packet collisions. Traditionally, the collided packets are simply discarded. To improve performance,…

Information Theory · Computer Science 2010-09-22 Lu Lu , Soung Chang Liew , Shengli Zhang

Turbo-Codes (TC) are a family of convolutional codes enabling Forward-Error-Correction (FEC) while approaching the theoretical limit of channel capacity predicted by Shannons theorem. One of the bottlenecks of a Turbo Encoder (TE) lies in…

Information Theory · Computer Science 2023-08-30 Ohad Boxerman , Moshe Bensimon , Shlomo Greenberg , Yehuda Ben-Shimol

Two-way real-time video communication in wireless networks requires high bandwidth, low delay and error resiliency. This paper addresses these demands by proposing a system with the integration of Network Coding (NC), user cooperation using…

Information Theory · Computer Science 2012-05-16 Xiaozhong Xu , Ozgu Alay , Elza Erkip , Yao Wang , Shivendra Panwar

Modern spacecraft communication systems rely on concatenated error correction schemes, typically combining convolutional and Reed-Solomon (RS) codes. This paper presents a decoder-side method that uses a machine learning model to estimate…

Information Theory · Computer Science 2025-09-12 Michael Greenwood , Robert Hunter

This paper studies dual-hop amplify-and-forward relaying system employing differential encoding and decoding over time-varying Rayleigh fading channels. First, the convectional "two-symbol" differential detection (CDD) is theoretically…

Information Theory · Computer Science 2014-07-08 M. R. Avendi , Ha H. Nguyen

In this paper, we propose a new subcarrier index modulation scheme for orthogonal frequency division multiplexing (OFDM), which incorporates the Reed-Solomon (RS) encoding in a visible light communication (VLC) system. In this scheme, the…

Information Theory · Computer Science 2021-09-27 Nima Taherkhani , Kamran Kiasaleh

Foliated quantum codes are a resource for fault-tolerant measurement-based quantum error correction for quantum repeaters and for quantum computation. They represent a general approach to integrating a range of possible quantum error…

Quantum Physics · Physics 2018-12-05 A. Bolt , D. Poulin , T. M. Stace

This paper presents the usage of the Reed Solomon Codes as the Forward Error Correction (FEC) unit of the Hybrid Automatic Repeat Request (ARQ) methods. Parametric and flexible FPGA implementation details of such Erasure-Only RS decoders…

Hardware Architecture · Computer Science 2016-03-31 Cansu Sen , Soner Yesil , Ertugrul Kolagasioglu

Despite their exceptional error-correcting properties, Reed-Solomon (RS) codes have been overlooked in distributed storage applications due to the common belief that they have poor repair bandwidth: A naive repair approach would require the…

Information Theory · Computer Science 2017-05-16 Hoang Dau , Iwan Duursma , Han Mao Kiah , Olgica Milenkovic

Multishot network coding is considered in a worst-case adversarial setting in which an omniscient adversary with unbounded computational resources may inject erroneous packets in up to $t$ links, erase up to $\rho$ packets, and wire-tap up…

Information Theory · Computer Science 2019-04-18 Umberto Martínez-Peñas , Frank R. Kschischang

This dissertation considers new constructions and decoding approaches for error-correcting codes based on non-conventional polynomials, with the objective of providing new coding solutions to the applications mentioned above. With skew…

Information Theory · Computer Science 2025-01-08 Hedongliang Liu

We propose a new partial decoding algorithm for $m$-interleaved Reed--Solomon (IRS) codes that can decode, with high probability, a random error of relative weight $1-R^{\frac{m}{m+1}}$ at all code rates $R$, in time polynomial in the code…

Information Theory · Computer Science 2017-05-08 Sven Puchinger , Johan Rosenkilde né Nielsen

In this paper we investigate the decoding of parallel turbo codes over the binary erasure channel suited for upper-layer error correction. The proposed algorithm performs on-the-fly decoding, i.e. it starts decoding as soon as the first…

Information Theory · Computer Science 2008-03-13 Ghassan M. Kraidy , Valentin Savin

A scheme for concatenating the recently invented polar codes with non-binary MDS codes, as Reed-Solomon codes, is considered. By concatenating binary polar codes with interleaved Reed-Solomon codes, we prove that the proposed concatenation…

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

JPEG-XS offers low complexity image compression for applications with constrained but reasonable bit-rate, and low latency. Our paper explores the deployment of JPEG-XS on lossy packet networks. To preserve low latency, Forward Error…

Image and Video Processing · Electrical Eng. & Systems 2022-10-10 Antoine Legrand , Benoît Macq , Christophe De Vleeschouwer

Fault-tolerant quantum computation (FTQC) is expected to address a wide range of computational problems. To realize large-scale FTQC, it is essential to encode logical qubits using quantum error-correcting codes. High-rate concatenated…

Quantum Physics · Physics 2026-01-27 Takeshi Kakizaki

This paper presents a novel semantic-enhanced decoding scheme for transmitting natural language sentences with multiple short block codes over noisy wireless channels. After ASCII source coding, the natural language sentence message is…

Signal Processing · Electrical Eng. & Systems 2025-05-15 Jiafu Hao , Chentao Yue , Hao Chang , Branka Vucetic , Yonghui Li

The linear error-correcting codes are known to be well suited for battling and correcting the burst errors caused by noise in the wireless data transmission system. However, different types of codes offer different decoding and…

Signal Processing · Electrical Eng. & Systems 2019-09-24 Nima Taherkhani , Merve Apalak , Kamran Kiasaleh