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We propose a simple yet effective wireless network coding and decoding technique. It utilizes spatial diversity through cooperation between nodes which carry out distributed encoding operations dictated by generator matrices of linear block…

Information Theory · Computer Science 2016-11-17 Tugcan Aktas , Ali Ozgur Yilmaz , Emre Aktas

In this paper, the problem of designing a forward link linear precoder for Massive Multiple-Input Multiple-Output (MIMO) systems in conjunction with Quadrature Amplitude Modulation (QAM) is addressed. First, we employ a novel and efficient…

Information Theory · Computer Science 2017-07-14 Thomas Ketseoglou , Ender Ayanoglu

Multiple-input double-output (MIDO) codes are important in the near-future wireless communications, where the portable end-user device is physically small and will typically contain at most two receive antennas. Especially tempting is the 4…

Information Theory · Computer Science 2016-11-15 Roope Vehkalahti , Camilla Hollanti , Frédérique Oggier

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

Perfect Space-Time Codes (STC) are optimal codes in their original construction for Multiple Input Multiple Output (MIMO) systems. Based on Cyclic Division Algebras (CDA), they are full-rate, full-diversity codes, have Non-Vanishing…

Information Theory · Computer Science 2010-11-03 Mireille Sarkiss , Ghaya Rekaya-Ben Othman , Mohamed Oussama Damen , Jean-Claude Belfiore

Coding for distributed computing supports low-latency computation by relieving the burden of straggling workers. While most existing works assume a simple master-worker model, we consider a hierarchical computational structure consisting of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-16 Hyegyeong Park , Kangwook Lee , Jy-yong Sohn , Changho Suh , Jaekyun Moon

Due to their capacity-achieving property, polar codes have become one of the most attractive channel codes. To date, the successive cancellation list (SCL) decoding algorithm is the primary approach that can guarantee outstanding…

Information Theory · Computer Science 2016-11-18 Bo Yuan , Keshab K. Parhi

The sphere decoder (SD) is an attractive low-complexity alternative to maximum likelihood (ML) detection in a variety of communication systems. It is also employed in multiple-input multiple-output (MIMO) systems where the computational…

Information Theory · Computer Science 2013-03-05 Gianmarco Romano , Domenico Ciuonzo , Pierluigi Salvo Rossi , Francesco Palmieri

Guessing Random Additive Noise Decoding (GRAND) is a recently proposed Maximum Likelihood (ML) decoding technique. Irrespective of the structure of the error correcting code, GRAND tries to guess the noise that corrupted the codeword in…

Information Theory · Computer Science 2021-08-31 Syed Mohsin Abbas , Marwan Jalaleddine , Warren J. Gross

Fault tolerance is a prerequisite for scalable quantum computing. Architectures based on 2D topological codes are effective for near-term implementations of fault tolerance. To obtain high performance with these architectures, we require a…

Quantum Physics · Physics 2018-10-23 Ben Criger , Imran Ashraf

Quantum convolutional code was introduced recently as an alternative way to protect vital quantum information. To complete the analysis of quantum convolutional code, I report a way to decode certain quantum convolutional codes based on the…

Quantum Physics · Physics 2009-10-31 H. F. Chau

A capacity-achieving scheme based on polar codes is proposed for reliable communication over multi-channels which can be directly applied to bit-interleaved coded modulation schemes. We start by reviewing the ground-breaking work of polar…

Information Theory · Computer Science 2013-02-04 Hessam Mahdavifar , Mostafa El-Khamy , Jungwon Lee , Inyup Kang

In this paper, we consider the ChannelComp framework, which facilitates the computation of desired functions by multiple transmitters over a common receiver using digital modulations across a multiple access channel. While ChannelComp…

Signal Processing · Electrical Eng. & Systems 2024-04-26 Xiaojing Yan , Saeed Razavikia , Carlo Fischione

In this paper we propose a new design criterion and a new class of unitary signal constellations for differential space-time modulation for multiple-antenna systems over Rayleigh flat-fading channels with unknown fading coefficients.…

Information Theory · Computer Science 2008-05-12 Xinjia Chen , Kemin Zhou , Jorge Aravena

A construction of a new family of distributed space time codes (DSTCs) having full diversity and low Maximum Likelihood (ML) decoding complexity is provided for the two phase based cooperative diversity protocols of Jing-Hassibi and the…

Information Theory · Computer Science 2007-07-13 G. Susinder Rajan , Anshoo Tandon , B. Sundar Rajan

We consider an approach to fault tolerant quantum computing based on a simple error detecting code operating as the substrate for a conventional surface code. We develop a customised decoder to process the information about the likely…

Quantum Physics · Physics 2019-12-11 Xiaosi Xu , Qi Zhao , Xiao Yuan , Simon C. Benjamin

Cloud computing facilitates the access of applications and data from any location by a distributed storage system. Erasure codes offer better data replication technique with reduced storage costs for more reliability. This paper considers…

Information Theory · Computer Science 2021-02-04 Srujan Teja Thomdapu , Ketan Rajawat

A framework is proposed that allows for a joint description and optimization of both binary polar coding and the multilevel coding (MLC) approach for $2^m$-ary digital pulse-amplitude modulation (PAM). The conceptual equivalence of polar…

Information Theory · Computer Science 2016-11-17 Mathis Seidl , Andreas Schenk , Clemens Stierstorfer , Johannes B. Huber

We present a framework of a multimode dense coding network with multiple senders and a single receiver using continuous variable systems. The protocol is scalable to arbitrary numbers of modes with the encoding being displacements while the…

Quantum Physics · Physics 2022-11-29 Ayan Patra , Rivu Gupta , Saptarshi Roy , Tamoghna Das , Aditi Sen De

In this paper, we are interested in the performance of a variable-length stop-feedback (VLSF) code with $m$ optimal decoding times for the binary-input additive white Gaussian noise channel. We first develop tight approximations on the tail…

Information Theory · Computer Science 2022-02-08 Hengjie Yang , Recep Can Yavas , Victoria Kostina , Richard D. Wesel