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Related papers: Super-FEC Codes for 40/100 Gbps Networking

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We consider codes for channels with extreme noise that emerge in various low-power applications. Simple LDPC-type codes with parity checks of weight 3 are first studied for any dimension $m\rightarrow\infty.$ These codes form modulation…

Information Theory · Computer Science 2021-01-26 Ilya Dumer , Navid Gharavi

Quantum error correction promises a viable path to fault-tolerant computations, enabling exponential error suppression when the device's error rates remain below the protocol's threshold. This threshold, however, strongly depends on the…

Quantum Physics · Physics 2026-05-11 Maurice D. Hanisch , Bence Hetényi , James R. Wootton

Determining the exact decoding error probability of linear block codes is an interesting problem. For binary BCH codes, McEliece derived methods to estimate the error probability of a simple bounded distance decoding (BDD) for BCH codes.…

Information Theory · Computer Science 2026-01-29 Sisi Miao , Jonathan Mandelbaum , Holger Jäkel , Laurent Schmalen

In this paper, network error control coding is studied for robust and efficient multicast in a directed acyclic network with imperfect links. The block network error control coding framework, BNEC, is presented and the capability of the…

Information Theory · Computer Science 2008-09-25 Hossein Bahramgiri , Farshad Lahouti

A method for estimating the performance of low-density parity-check (LDPC) codes decoded by hard-decision iterative decoding algorithms on binary symmetric channels (BSC) is proposed. Based on the enumeration of the smallest weight error…

Information Theory · Computer Science 2007-07-13 Hua Xiao , Amir H. Banihashemi

We propose a modified iterative bounded distance decoding of product codes. The proposed algorithm is based on exchanging hard messages iteratively and exploiting channel reliabilities to make hard decisions at each iteration. Performance…

Information Theory · Computer Science 2018-05-15 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva

In this paper, we consider the problem of sequential transmission over the binary symmetric channel (BSC) with full, noiseless feedback. Naghshvar et al. proposed a one-phase encoding scheme, for which we refer to as the small-enough…

Information Theory · Computer Science 2020-05-29 Hengjie Yang , Richard D. Wesel

We study multi-user multi-way relay networks where $N$ user nodes exchange their information through a single relay node. We use network coding in the relay to increase the throughput. Due to the limitation of complexity, we only consider…

Information Theory · Computer Science 2013-03-20 Ang Yang , Zesong Fei , Chengwen Xing , Ming Xiao , Jinhong Yuan , Jingming Kuang

The cyclically equivariant neural decoder was recently proposed in [Chen-Ye, International Conference on Machine Learning, 2021] to decode cyclic codes. In the same paper, a list decoding procedure was also introduced for two widely used…

Information Theory · Computer Science 2021-06-16 Xiangyu Chen , Min Ye

End-to-end learning of a communications system using the deep learning-based autoencoder concept has drawn interest in recent research due to its simplicity, flexibility and its potential of adapting to complex channel models and practical…

Information Theory · Computer Science 2020-01-22 Nuwanthika Rajapaksha , Nandana Rajatheva , Matti Latva-aho

Precoded polar product codes are proposed, where selected component codes enable successive cancellation list decoding to generate bit-wise soft messages efficiently for iterative decoding while targeting optimized distance spectrum as…

Information Theory · Computer Science 2024-02-13 Mustafa Cemil Coşkun

This paper proposes a complete IFoF system architecture derived from simplified IEEE802.15.3c PHY layer proposal to successfully ensure near 1 Gbps on the air interface. The system architecture utilizes low complexity baseband processing…

Networking and Internet Architecture · Computer Science 2010-11-10 Lahatra Rakotondrainibe , I. Siaud , Y. Kokar , G. Zaharia , F. Brunet , E. Tanguy , G. El Zein

The design of block codes for short information blocks (e.g., a thousand or less information bits) is an open research problem which is gaining relevance thanks to emerging applications in wireless communication networks. In this work, we…

Information Theory · Computer Science 2016-10-05 Gianluigi Liva , Lorenzo Gaudio , Tudor Ninacs , Thomas Jerkovits

As chiplet-based integration advances, designers must select among short-reach die-to-die interconnect technologies with widely varying shoreline and areal bandwidth density, energy per bit, reach, and raw bit error rate (BER). Meeting…

Hardware Architecture · Computer Science 2026-03-13 Aaron Yen , Jooyeon Jeong , Puneet Gupta

This letter investigates performance enhancement by the concept of multi-carrier index keying in orthogonal frequency division multiplexing (OFDM) systems. For the performance evaluation, a tight closed-form approximation of the bit error…

Information Theory · Computer Science 2018-07-17 Youngwook Ko

In this paper, we present the block Markov superposition transmission of BCH (BMST-BCH) codes, which can be constructed to obtain a very low error floor. To reduce the implementation complexity, we design a low complexity iterative…

Information Theory · Computer Science 2017-08-22 Suihua Cai , Nina Lin , Xiao Ma

We prove that, for the binary erasure channel (BEC), the polar-coding paradigm gives rise to codes that not only approach the Shannon limit but do so under the best possible scaling of their block length as a~function of the gap to…

Information Theory · Computer Science 2020-10-15 Arman Fazeli , S. Hamed Hassani , Marco Mondelli , Alexander Vardy

The binary primitive BCH codes are cyclic and are constructed by choosing a subset of the cyclotomic cosets. Which subset is chosen determines the dimension, the minimum distance and the weight distribution of the BCH code. We construct…

Information Theory · Computer Science 2022-06-23 Martin Bossert , Rebekka Schulz , Sebastian Bitzer

In the short block length regime, ensemble decoding schemes with their inherently parallel structure can improve error correction performance and reduce latency compared to stand-alone suboptimal decoders such as belief propagation (BP). In…

Information Theory · Computer Science 2026-04-09 Jonathan Mandelbaum , Paul Bezner , Holger Jäkel , Stephan ten Brink , Laurent Schmalen

Some emerging 5G and beyond use-cases impose stringent latency constraints, which necessitates a paradigm shift towards finite blocklength performance analysis. In contrast to Shannon capacity-achieving codes, the codeword length in the…

Information Theory · Computer Science 2023-05-29 Nourhan Hesham , Anas Chaaban , Hesham ElSawy , Jahangir Hossain