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The question of list decoding error-correcting codes over finite fields (under the Hamming metric) has been widely studied in recent years. Motivated by the similar discrete structure of linear codes and point lattices in R^N, and their…

Information Theory · Computer Science 2012-04-10 Elena Grigorescu , Chris Peikert

Spinal codes are a type of capacity-achieving rateless codes that have been proved to approach the Shannon capacity over the additive white Gaussian noise (AWGN) channel and the binary symmetric channel (BSC). In this paper, we aim to…

Information Theory · Computer Science 2022-04-05 Aimin Li , Shaohua Wu , Jian Jiao , Ning Zhang , Qinyu Zhang

In this paper, the performance limits and the computational complexity of the lattice sequential decoder are analyzed for the unconstrained additive white Gaussian noise channel. The performance analysis available in the literature for such…

Information Theory · Computer Science 2013-04-11 Walid Abediseid , Mohamed-Slim Alouini

A simple scheme for communication over MIMO broadcast channels is introduced which adopts the lattice reduction technique to improve the naive channel inversion method. Lattice basis reduction helps us to reduce the average transmitted…

Information Theory · Computer Science 2016-11-15 Mahmoud Taherzadeh , Amin Mobasher , Amir K. Khandani

The surface code is a promising platform for a quantum memory, but its threshold under coherent errors remains incompletely understood. We study maximum-likelihood decoding of the square-lattice surface code in the presence of single-qubit…

Statistical Mechanics · Physics 2026-05-05 Stephen W. Yan , Yimu Bao , Sagar Vijay

We present a diversity multiplexing tradeoff (DMT) optimal tree pruning sphere decoding algorithm which visits merely a single branch of the search tree of the sphere decoding (SD) algorithm, while maintaining the DMT optimality at high…

Signal Processing · Electrical Eng. & Systems 2019-10-22 Mohammad Neinavaie , Mostafa Derakhtian , Negar Daryanavardan , Sergiy Vorobyov

We construct explicit rate-one, full-diversity, geometrically dense matrix lattices with large, non-vanishing determinants (NVD) for four transmit antenna multiple-input single-output (MISO) space-time (ST) applications. The constructions…

Information Theory · Computer Science 2016-11-17 Camilla Hollanti , Jyrki Lahtonen , Hsiao-feng Francis Lu

In this paper, a novel low-complexity detection algorithm for spatial modulation (SM), referred to as the minimum-distance of maximum-length (m-M) algorithm, is proposed and analyzed. The proposed m-M algorithm is a smart searching method…

Information Theory · Computer Science 2019-07-22 Ibrahim Al-Nahhal , Ertugrul Basar , Octavia A. Dobre , Salama Ikki

Spinal codes is a new family of capacity-achieving rateless codes that has been shown to achieve better rate performance compared to Raptor codes, Strider codes, and rateless Low-Density Parity-Check (LDPC) codes. This correspondence…

Information Theory · Computer Science 2025-10-14 Aimin Li , Shaohua Wu , Xiaomeng Chen , Sumei Sun

Signal-to-leakage-and-noise ratio (SLNR) is a promising criterion for linear precoder design in multi-user (MU) multiple-input multiple-output (MIMO) systems. It decouples the precoder design problem and makes closed-form solution…

Information Theory · Computer Science 2010-08-05 Peng Cheng , Meixia Tao , Wenjun Zhang

In this paper we present a novel method for decoding multiple input - multiple output (MIMO) transmission, which combines sphere decoding (SD) and zero forcing (ZF) techniques to provide near optimal low complexity and high performance…

Information Theory · Computer Science 2008-03-03 Vadim Neder , Doron Ezri , Motti Haridim

A novel detector for multiple-input multiple-output (MIMO) communications is presented. The algorithm belongs to the class of the lattice detectors, i.e. it finds a reduced complexity solution to the problem of finding the closest vector to…

Information Theory · Computer Science 2007-07-13 Massimiliano Siti , Michael P. Fitz

A family of low-complexity detection schemes based on channel matrix puncturing targeted for large multiple-input multiple-output (MIMO) systems is proposed. It is well-known that the computational cost of MIMO detection based on QR…

Information Theory · Computer Science 2017-12-07 H. Sarieddeen , M. M. Mansour , A. Chehab

The optimal decoder achieving the outage capacity under imperfect channel estimation is investigated. First, by searching into the family of nearest neighbor decoders, which can be easily implemented on most practical coded modulation…

Information Theory · Computer Science 2016-11-15 Pablo Piantanida , Sajad Sadough , Pierre Duhamel

We propose a deep-learning approach for the joint MIMO detection and channel decoding problem. Conventional MIMO receivers adopt a model-based approach for MIMO detection and channel decoding in linear or iterative manners. However, due to…

Information Theory · Computer Science 2019-01-18 Taotao Wang , Lihao Zhang , Soung Chang Liew

Lattice reduction (LR) aided multiple-input-multiple-out (MIMO) linear detection can achieve the maximum receive diversity of the maximum likelihood detection (MLD). By emloying the most commonly used Lenstra, Lenstra, and L. Lovasz (LLL)…

Information Theory · Computer Science 2013-04-25 Keke Zu , Rodrigo C. de Lamare

The multiple-input multiple-output (MIMO) detection problem, a fundamental problem in modern digital communications, is to detect a vector of transmitted symbols from the noisy outputs of a fading MIMO channel. The maximum likelihood…

Optimization and Control · Mathematics 2021-02-10 Ruichen Jiang , Ya-Feng Liu , Chenglong Bao , Bo Jiang

Defect-adaptive surface-code methods have substantially advanced the construction of valid logical patches on imperfect hardware, but fault-tolerant computation also requires executable logical oper ations on the resulting irregular…

Quantum Physics · Physics 2026-04-29 GunSik Min , Yujin Kang , Jun Heo

A lattice version of quantum nonlinear Schrodinger (NLS) equation is considered, which has significantly simple form and fullfils most of the criteria desirable for such lattice variants of field models. Unlike most of the known lattice…

High Energy Physics - Theory · Physics 2009-10-28 A Kundu , Orlando Ragnisco

Sphere decoding (SD) of polar codes is an efficient method to achieve the error performance of maximum likelihood (ML) decoding. But the complexity of the conventional sphere decoder is still high, where the candidates in a target sphere…

Information Theory · Computer Science 2013-08-14 Kai Niu , Kai Chen , Jiaru Lin