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It is well known that {\em superposition coding}, namely separately encoding the independent sources, is optimal for symmetric multilevel diversity coding (SMDC) (Yeung-Zhang 1999). However, the characterization of the coding rate region…

信息论 · 计算机科学 2019-05-22 Tao Guo , Raymond W. Yeung

Random linear network coding (RLNC) in theory achieves the max-flow capacity of multicast networks, at the cost of high decoding complexity. To improve the performance-complexity tradeoff, we consider the design of sparse network codes. A…

信息论 · 计算机科学 2016-04-20 Ye Li , Wai-Yip Chan , Steven D. Blostein

Two new rate-one full-diversity space-time block codes (STBC) are proposed. They are characterized by the \emph{lowest decoding complexity} among the known rate-one STBC, arising due to the complete separability of the transmitted symbols…

信息论 · 计算机科学 2016-11-17 Dung Ngoc Dao , Chau Yuen , Chintha Tellambura , Yong Liang Guan , Tjeng Thiang Tjhung

This paper proposes a class of rate-compatible LDPC codes, called protograph-based Raptor-like (PBRL) codes. The construction is focused on binary codes for BI-AWGN channels. As with the Raptor codes, additional parity bits are produced by…

信息论 · 计算机科学 2014-03-11 Tsung-Yi Chen , Kasra Vakilinia , Dariush Divsalar , Richard D. Wesel

This paper proposes a method for designing error correction codes by combining a known coding scheme with an autoencoder. Specifically, we integrate an LDPC code with a trained autoencoder to develop an error correction code for intractable…

信息论 · 计算机科学 2020-03-03 Eren Balevi , Jeffrey G. Andrews

Staircase codes, a new class of forward-error-correction (FEC) codes suitable for high-speed optical communications, are introduced. An ITU-T G.709-compatible staircase code with rate R=239/255 is proposed, and FPGA-based simulation results…

信息论 · 计算机科学 2015-06-03 Benjamin P. Smith , Arash Farhood , Andrew Hunt , Frank R. Kschischang , John Lodge

Coded computing is a reliable and fault-tolerant mechanism for implementing large computing tasks over a distributed set of worker nodes. While a majority of coded computing frameworks address accurate computation of the target functions,…

信息论 · 计算机科学 2025-07-03 Rimpi Borah , J. Harshan

Reliability is an important requirement for both communication and storage systems. Due to continuous scale down of technology multiple adjacent bits error probability increases. The data may be corrupted due soft errors. Error correction…

硬件体系结构 · 计算机科学 2020-02-19 Sayan Tripathi , Jhilam Jana , Jaydeb Bhaumik

It has been known that quantum error correction via concatenated codes can be done with exponentially small failure rate if the error rate for physical qubits is below a certain accuracy threshold. Other, unconcatenated codes with their own…

量子物理 · 物理学 2008-12-18 Eric Dennis

Concatenating quantum error correction codes scales error correction capability by driving logical error rates down double-exponentially across levels. However, the noise structure shifts under concatenation, making it hard to choose an…

量子物理 · 物理学 2026-04-17 Nico Meyer , Christopher Mutschler , Dominik Seuß , Andreas Maier , Daniel D. Scherer

A modification of Koetter-Kschischang codes for random networks is presented (these codes were also studied by Wang et al. in the context of authentication problems). The new codes have higher information rate, while maintaining the same…

信息论 · 计算机科学 2016-11-17 Vitaly Skachek

Motivated by a wide-spread use of convex optimization techniques, convexity properties of bit error rate of the maximum likelihood detector operating in the AWGN channel are studied for arbitrary constellations and bit mappings, which also…

信息论 · 计算机科学 2010-04-16 Sergey Loyka , Francois Gagnon , Victoria Kostina

A circulant-based spatially-coupled (SC) code is constructed by partitioning the circulants in the parity-check matrix of a block code into several components and piecing copies of these components in a diagonal structure. By connecting…

信息论 · 计算机科学 2019-08-08 Homa Esfahanizadeh , Lev Tauz , Lara Dolecek

We introduce a unified generalization of several well-established high-throughput coding techniques including staircase codes, tiled diagonal zipper codes, continuously interleaved codes, open forward error correction (OFEC) codes, and…

信息论 · 计算机科学 2025-01-24 Mohannad Shehadeh , Frank R. Kschischang

Low-rate and short-packet transmissions are important for ultra-reliable low-latency communications (URLLC). In this paper, we put forth a new family of sparse superposition codes for URLLC, called block orthogonal sparse superposition…

信息论 · 计算机科学 2022-08-16 Donghwa Han , Jeonghun Park , Youngjoo Lee , H. Vincent Poor , Namyoon Lee

Quantum synchronizable error-correcting codes are special quantum error-correcting codes that are designed to correct both the effect of quantum noise on qubits and misalignment in block synchronization. It is known that in principle such a…

量子物理 · 物理学 2014-11-17 Yuichiro Fujiwara , Peter Vandendriessche

Families of generalized spatially-coupled low-density parity-check (GSC-LDPC) code ensembles can be formed by terminating protograph-based generalized LDPC convolutional (GLDPCC) codes. It has previously been shown that ensembles of…

信息论 · 计算机科学 2016-11-18 David G. M. Mitchell , Michael Lentmaier , Daniel J. Costello

In this paper, we investigate an artificial-intelligence (AI) driven approach to design error correction codes (ECC). Classic error correction code was designed upon coding theory that typically defines code properties (e.g., hamming…

信息论 · 计算机科学 2019-10-31 Lingchen Huang , Huazi Zhang , Rong Li , Yiqun Ge , Jun Wang

Due to the ability to provide superior error-correction performance, the successive cancellation list (SCL) algorithm is widely regarded as one of the most promising decoding algorithms for polar codes with short-to-moderate code lengths.…

信息论 · 计算机科学 2023-11-15 Yang Lu , Ming-Min Zhao , Ming Lei , Min-Jian Zhao

Dating back to the seminal work of von Neumann [von Neumann, Automata Studies, 1956], it is known that error correcting codes can overcome faulty circuit components to enable robust computation. Choosing an appropriate code is non-trivial…

信息论 · 计算机科学 2025-10-06 Anirudh Krishna , Gilles Zémor