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Self-orthogonal codes are a subclass of linear codes that are contained within their dual codes. Since self-orthogonal codes are widely used in quantum codes, lattice theory and linear complementary dual (LCD) codes, they have received…

Information Theory · Computer Science 2024-11-12 Yaozong Zhang , Dabin Zheng , Xiaoqiang Wang

For an $n_t$ transmit, $n_r$ receive antenna system ($n_t \times n_r$ system), a {\it{full-rate}} space time block code (STBC) transmits $n_{min} = min(n_t,n_r)$ complex symbols per channel use and in general, has an ML-decoding complexity…

Information Theory · Computer Science 2010-03-16 K. Pavan Srinath , B. Sundar Rajan

Geometrically local quantum codes, which are error correction codes embedded in $\mathbb{R}^D$ with checks acting only on qubits within a fixed spatial distance, have garnered significant interest. Recently, it has been demonstrated how to…

Quantum Physics · Physics 2025-07-04 Quinten Eggerickx , Adam Wills , Ting-Chun Lin , Kristiaan De Greve , Min-Hsiu Hsieh

A protograph-based low-density parity-check (LDPC) code design technique for bandwidth-efficient coded modulation is presented. The approach jointly optimizes the LDPC code node degrees and the mapping of the coded bits to the…

Information Theory · Computer Science 2015-04-15 Fabian Steiner , Georg Böcherer , Gianluigi Liva

We show how the iterative decoding threshold of tailbiting spatially coupled (SC) low-density parity-check (LDPC) code ensembles can be improved over the binary input additive white Gaussian noise channel by allowing the use of different…

Information Theory · Computer Science 2018-02-19 Thomas Jerkovits , Gianluigi Liva , Alexandre Graell i Amat

The sixth generation (6G) wireless communication system will improve the key technical indicators by one to two orders of magnitude, and come with some new features. As a crucial technique to enhance the reliability and efficiency of data…

Information Theory · Computer Science 2025-04-08 Li Shen , Yongpeng Wu , Yin Xu , Xiaohu You , Xiqi Gao , Wenjun Zhang

Joint channel and rate allocation with power minimization in orthogonal frequency-division multiple access (OFDMA) has attracted extensive attention. Most of the research has dealt with the development of sub-optimal but low-complexity…

Networking and Internet Architecture · Computer Science 2011-12-13 Di Yuan , Jingon Joung , Chin Keong Ho , Sumei Sun

We consider the energy savings that can be obtained by employing network coding instead of plain routing in wireless multiple unicast problems. We establish lower bounds on the benefit of network coding, defined as the maximum of the ratio…

Information Theory · Computer Science 2011-08-19 Jasper Goseling , Ruytaroh Matsumoto , Tomohiko Uyematsu , Jos H. Weber

In this paper, we propose new coupled codes constructed by overlapping circular spatially-coupled low-density parity-check (SC-LDPC) codes, which show better asymptotic and finite-length decoding performance compared to the conventional…

Information Theory · Computer Science 2018-03-28 Heeyoul Kwak , Bohwan Jun , Pilwoong Yang , Jong-Seon No , Dong-Joon Shin

Precoding for multiple-input, multiple-output (MIMO) antenna systems is considered with perfect channel knowledge available at both the transmitter and the receiver. For 2 transmit antennas and QAM constellations, an approximately optimal…

Information Theory · Computer Science 2015-03-17 K. Pavan Srinath , B. Sundar Rajan

In this paper, we further investigate the constructions on three-dimensional $(u\times v\times w,k,1)$ optical orthogonal codes with the at most one optical pulse per wavelength/time plane restriction (briefly AM-OPP $3$-D $(u\times v\times…

Information Theory · Computer Science 2016-02-26 Lidong Wang , Yanxun Chang

In this paper, we present a concatenated coding scheme for a high rate $2\times 2$ multiple-input multiple-output (MIMO) system over slow fading channels. The inner code is the Golden code \cite{Golden05} and the outer code is a trellis…

Information Theory · Computer Science 2009-09-29 Yi Hong , Emanuele Viterbo , Jean-Claude Belfiore

In this paper, we propose a novel algorithm to optimize the energy-efficiency (EE) of orthogonal frequency division multiplexing-based cognitive radio systems under channel uncertainties. We formulate an optimization problem that guarantees…

Signal Processing · Electrical Eng. & Systems 2019-02-11 Ebrahim Bedeer , Osama Amin , Octavia A. Dobre , Mohamed H. Ahmed , Kareem E. Baddour

In this paper we propose the construction of Spatially Coupled Low-Density Parity-Check (SC-LDPC) codes using a periodic time-variant Quasi-Cyclic (QC) algorithm. The QC based approach is optimized to obtain memory efficiency in storing the…

Information Theory · Computer Science 2013-10-18 Vikram Arkalgud Chandrasetty , Sarah J. Johnson , Gottfried Lechner

For MIMO Rayleigh channels, it has been shown that transmitter correlations always degrade the performance of general space-time codes (STCs) in high SNR regimes. In this correspondence, however, we show that when MIMO channels experience…

Information Theory · Computer Science 2014-01-14 Chen He , Xun Chen , Z. Jane Wang

In this chapter, we show how the use of differential coding and the presence of phase slips in the transmission channel affect the total achievable information rates and capacity of a system. By means of the commonly used QPSK modulation,…

Information Theory · Computer Science 2017-04-18 Laurent Schmalen , Stephan ten Brink , Andreas Leven

In the two-user Gaussian interference channel with Gaussian inputs and treating interference as noise (TIN), improper complex signals can be beneficial if time-sharing is not allowed or if only the data rates are averaged over several…

Information Theory · Computer Science 2020-12-30 Christoph Hellings , Ferhad Askerbeyli , Wolfgang Utschick

Scaling up quantum computers to attain substantial speedups over classical computing requires fault tolerance. Conventionally, protocols for fault-tolerant quantum computation demand excessive space overheads by using many physical qubits…

Quantum Physics · Physics 2025-01-29 Hayata Yamasaki , Masato Koashi

With the evolution from 5G to 6G, ultra-reliable low-latency communication (URLLC) faces increasingly stringent performance requirements. Lower latency constraints demand shorter channel coding lengths, which can severely degrade decoding…

Information Theory · Computer Science 2025-08-07 Yaqi Li , Xiaohu You , Jiamin Li , Chen Ji , Bin Sheng

The Golden Code is a full-rate full-diversity space-time code, which achieves maximum coding gain for Multiple-Input Multiple-Output (MIMO) systems with two transmit and two receive antennas. Since four information symbols taken from an…

Information Theory · Computer Science 2012-08-17 Boyu Li , Ender Ayanoglu
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