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In this paper an interpolation-based decoding algorithm to decode Gabidulin codes, transmitted through a finely restricted channel, is proposed. The algorithm is able to decode rank errors beyond half the minimum distance by one unit. Also…

Information Theory · Computer Science 2021-10-12 Wrya K. Kadir

We describe how regularization of lattice Boltzmann methods can be achieved by modifying dissipation. Classes of techniques used to try to improve regularization of LBMs include flux limiters, enforcing the exact correct production of…

Computational Physics · Physics 2014-08-01 R. A. Brownlee , J. Levesley , D. Packwood , A. N. Gorban

We explore the possibility of improving probabilistic models in structured prediction. Specifically, we combine the models with constrained decoding approaches in the context of token classification for information extraction. The decoding…

Computation and Language · Computer Science 2023-12-07 Arthur Hemmer , Mickaël Coustaty , Nicola Bartolo , Jérôme Brachat , Jean-Marc Ogier

Integer forcing is an alternative approach to conventional linear receivers for multiple-antenna systems. In an integer-forcing receiver, integer linear combinations of messages are extracted from the received matrix before each individual…

Information Theory · Computer Science 2019-05-07 Ricardo Bohaczuk Venturelli , Danilo Silva

We consider whether conditions exist under which block-coordinate descent is asymptotically efficient in evolutionary multi-objective optimization, addressing an open problem. Block-coordinate descent, where an optimization problem is…

Neural and Evolutionary Computing · Computer Science 2024-07-17 Benjamin Doerr , Joshua Knowles , Aneta Neumann , Frank Neumann

Low complexity joint estimation of synchronization impairments and channel in a single-user MIMO-OFDM system is presented in this letter. Based on a system model that takes into account the effects of synchronization impairments such as…

Information Theory · Computer Science 2013-04-30 Renu Jose , Sooraj K. Ambat , K. V. S. Hari

The so-called min-sum algorithm has been applied for decoding lattices constructed by Construction D'. We generalize this iterative decoding algorithm to decode lattices constructed by Construction D. An upper bound on the decoding…

Cryptography and Security · Computer Science 2012-01-20 Hassan Mehri

We propose several differential decoding schemes for asynchronous multi-user MIMO systems based on orthogonal space-time block codes (OSTBCs) where neither the transmitters nor the receiver has knowledge of the channel. First, we derive…

Information Theory · Computer Science 2014-12-22 Sina Poorkasmaei , Hamid Jafarkhani

We propose a recursive lattice reduction framework for finding short non-zero vectors or dense sublattices of a lattice. The framework works by recursively searching for dense sublattices of dense sublattices (or their duals) with…

Data Structures and Algorithms · Computer Science 2025-04-22 Divesh Aggarwal , Thomas Espitau , Spencer Peters , Noah Stephens-Davidowitz

We propose Dijkstra's algorithm with bounded list size after QR decomposition for decreasing the computational complexity of near maximum-likelihood (ML) detection of signals over multiple-input-multiple-output (MIMO) channels. After that,…

Information Theory · Computer Science 2008-09-02 Atsushi Okawado , Ryutaroh Matsumoto , Tomohiko Uyematsu

In this paper we consider maximum-likelihood (ML) MIMO detection under one-bit quantized observations and binary symbol constellations. This problem is motivated by the recent interest in adopting coarse quantization in massive MIMO…

Information Theory · Computer Science 2021-02-24 Mingjie Shao , Wing-Kin Ma

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

Information Theory · Computer Science 2016-11-18 Jun Lin , Chenrong Xiong , Zhiyuan Yan

The Compute-and-Forward protocol in quasi-static channels normally employs lattice codes based on the rational integers $\mathbb{Z}$, Gaussian integers $\mathbb{Z}\left[i\right]$ or Eisenstein integers $\mathbb{Z}\left[\omega\right]$, while…

Information Theory · Computer Science 2019-05-13 Shanxiang Lyu , Antonio Campello , Cong Ling

The paper studies a class of three user Gaussian interference channels. A new layered lattice coding scheme is introduced as a transmission strategy. The use of lattice codes allows for an "alignment" of the interference observed at each…

Information Theory · Computer Science 2008-09-26 Sriram Sridharan , Amin Jafarian , Sriram Vishwanath , Syed A. Jafar , Shlomo Shamai

Zero-forcing (ZF) decoder is a commonly used approximation solution of the integer least squares problem which arises in communications and many other applications. Numerically simulations have shown that the LLL reduction can usually…

Information Theory · Computer Science 2018-07-24 Jinming Wen , Chao Tong , Shi Bai

Lattice reduction algorithms have numerous applications in number theory, algebra, as well as in cryptanalysis. The most famous algorithm for lattice reduction is the LLL algorithm. In polynomial time it computes a reduced basis with…

Cryptography and Security · Computer Science 2012-12-21 Felix Fontein , Michael Schneider , Urs Wagner

Lattice decoders constructed with neural networks are presented. Firstly, we show how the fundamental parallelotope is used as a compact set for the approximation by a neural lattice decoder. Secondly, we introduce the notion of…

Information Theory · Computer Science 2019-02-05 Vincent Corlay , Joseph J. Boutros , Philippe Ciblat , Loic Brunel

Errors in surface code have typically been decoded by Minimum Weight Perfect Matching (MWPM) based method. Recently, neural-network-based Machine Learning (ML) techniques have been employed for this purpose. Here we propose a two-level (low…

We consider the problem of two transmitters wishing to exchange information through a relay in the middle. The channels between the transmitters and the relay are assumed to be synchronized, average power constrained additive white Gaussian…

Information Theory · Computer Science 2016-09-08 Makesh Pravin Wilson , Krishna Narayanan , Henry Pfister , Alex Sprintson

We consider a downlink 1-bit quantized multiuser (MU) multiple-input-multiple-output (MIMO) system, where 1-bit digital-to-analog (DACs) and analog-to-digital converters (ADCs) are used at the transmitter and the receiver for economical and…

Information Theory · Computer Science 2017-06-28 Hela Jedda , Amine Mezghani , Jawad Munir , Fabian Steiner , Josef A. Nossek
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