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A pair of orthogonal latin cubes of order $q$ is equivalent to an MDS code with distance $3$ or to an ${\rm OA}_1(3,5,q)$ orthogonal array. We construct pairs of orthogonal latin cubes for a sequence of previously unknown orders…

Combinatorics · Mathematics 2023-03-30 Vladimir N. Potapov

Recently, automorphism ensemble decoding (AED) has drawn research interest as a more computationally efficient alternative to successive cancellation list (SCL) decoding of polar codes. Although AED has demonstrated superior performance for…

Information Theory · Computer Science 2023-05-03 Marvin Geiselhart , Jannis Clausius , Stephan ten Brink

This paper investigates an energy-efficient non-orthogonal transmission design problem for two downlink receivers that have strict reliability and finite blocklength (latency) constraints. The Shannon capacity formula widely used in…

Information Theory · Computer Science 2017-12-14 Yanqing Xu , Chao Shen , Tsung-Hui Chang , Shih-Chun Lin , Yajun Zhao , Gang Zhu

We present a method of constructing rate-compatible polar codes that are capacity-achieving with low-complexity sequential decoders. The proposed code construction allows for incremental retransmissions at different rates in order to adapt…

Information Theory · Computer Science 2016-01-29 Song-Nam Hong , Dennis Hui , Ivana Marić

The vortex electromagnetic wave carried by multiple orthogonal orbital angular momentum (OAM) modes in the same frequency band can be applied to the field of wireless communications, which greatly increases the spectrum efficiency. The…

Signal Processing · Electrical Eng. & Systems 2024-07-19 Hongyun Jin , Wenchi Cheng , Wei Zhang

Flag codes have received a lot of attention due to its application in random network coding. In 2021, Alonso-Gonz\'{a}lez et al. constructed optimal $(n,\mathcal{A})$-Optimum distance flag codes(ODFC) for $\mathcal {A}\subseteq…

Discrete Mathematics · Computer Science 2024-10-14 Shuangqing Liu , Shuhui Yu , Lijun Ji

We show that (n,2^n) additive codes over GF(4) can be represented as directed graphs. This generalizes earlier results on self-dual additive codes over GF(4), which correspond to undirected graphs. Graph representation reduces the…

Combinatorics · Mathematics 2011-03-17 Lars Eirik Danielsen , Matthew G. Parker

In this paper, we propose an optimal but low-complexity optimization method for nonsquare differential massive MIMO. While a discrete nonlinear optimization is required for the conventional nonsquare differential coding, we newly modify it…

Signal Processing · Electrical Eng. & Systems 2023-05-29 Yuma Katsuki , Naoki Ishikawa

Designs and methods for nested lattice codes using Construction D' lattices for coding and convolutional code lattices for shaping are described. Two encoding methods and a decoding algorithm for Construction D' coding lattices that can be…

Information Theory · Computer Science 2022-01-03 Fan Zhou , Brian M. Kurkoski

We compare four open-loop transmit diversity schemes in a coded Orthogonal Frequency Division Multiplexing (OFDM) system with four transmit antennas, namely cyclic delay diversity (CDD), Space-Time Block Code (STBC, Alamouti code is used)…

Information Theory · Computer Science 2008-06-24 Chau Yuen , Yan Wu , Sumei Sun

Optical orthogonal signature pattern codes (OOSPCs) play an important role in a novel type of optical code-division multiple-access (CDMA) network for 2-dimensional image transmission. There is a one-to-one correspondence between an $(m, n,…

Discrete Mathematics · Computer Science 2016-09-26 Jingyuan Chen , Yun Li , Lijun Ji

Fast-decodable distributed space-time codes are constructed by adapting the iterative code construction introduced in [1] to the N -relay multiple-input multiple-output channel, leading to the first fast-decodable distributed space-time…

Information Theory · Computer Science 2015-04-21 Amaro Barreal , Camilla Hollanti , Nadya Markin

We revisit several maximization problems for geometric networks design under the non-crossing constraint, first studied by Alon, Rajagopalan and Suri (ACM Symposium on Computational Geometry, 1993). Given a set of $n$ points in the plane in…

Computational Geometry · Computer Science 2010-02-03 Adrian Dumitrescu , Csaba D. Tóth

Deep learning-based reduced order models (DL-ROMs) have been recently proposed to overcome common limitations shared by conventional reduced order models (ROMs) - built, e.g., through proper orthogonal decomposition (POD) - when applied to…

Numerical Analysis · Mathematics 2021-11-03 Stefania Fresca , Andrea Manzoni

Self-orthogonal codes are of interest as they have important applications in quantum codes, lattices and many areas. In this paper, based on the weakly regular plateaued functions or plateaued Boolean functions, we construct a family of…

Information Theory · Computer Science 2024-11-08 Peng Wang , Ziling Heng

Non-malleable codes, introduced by Dziembowski, Pietrzak and Wichs (ICS 2010), encode messages $s$ in a manner so that tampering the codeword causes the decoder to either output $s$ or a message that is independent of $s$. While this is an…

Information Theory · Computer Science 2013-09-03 Mahdi Cheraghchi , Venkatesan Guruswami

Communication in the presence of bounded timing asynchronism which is known to the receiver but cannot be easily compensated is studied. Examples of such situations include point-to-point communication over inter-symbol interference (ISI)…

Information Theory · Computer Science 2014-11-18 Ping-Chung Wang , Yu-Chih Huang , Krishna R. Narayanan

Extended ambiguity performance (EAP), which includes all grating lobes and side peaks, indicates the maximum detectable region without undesired peaks for target parameter estimation and is critical to radar sensor design. Driven by EAP…

Signal Processing · Electrical Eng. & Systems 2024-11-14 Rui Zhang , Shawn Tsai , Tzu-Han Chou , Jiaying Ren , Wenze Qu , Oliver Sun

This paper focuses on studying the fundamental performance limits and linear dispersion code design for the MIMO-ARQ slow fading channel. Optimal average rate of well-known HARQ protocols is analyzed. The optimal design of space-time coding…

Information Theory · Computer Science 2009-05-27 Cong Shen , Michael P. Fitz

This paper presents an optimal construction of $N$-bit-delay almost instantaneous fixed-to-variable-length (AIFV) codes, the general form of binary codes we can make when finite bits of decoding delay are allowed. The presented method…

Information Theory · Computer Science 2025-08-29 Ryosuke Sugiura , Masaaki Nishino , Norihito Yasuda , Yutaka Kamamoto , Takehiro Moriya
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