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One of the important applications of Golay complementary sets (GCSs) is the reduction of peak-to-mean envelope power ratio (PMEPR) in orthogonal frequency division multiplexing (OFDM) systems. OFDM has played a major role in modern wireless…

Information Theory · Computer Science 2025-01-06 Abhishek Roy , Sudhan Majhi , Subhabrata Paul

In this two-part paper, we consider SDL constructions of optical queues with a limited number of recirculations through the optical switches and the fiber delay lines. We show that the constructions of certain types of optical queues,…

Information Theory · Computer Science 2010-04-26 Jay Cheng , Cheng-Shang Chang , Sheng-Hua Yang , Tsz-Hsuan Chao , Duan-Shin Lee , Ching-Min Lien

Orthogonal array based space-filling designs (Owen [Statist. Sinica 2 (1992a) 439-452]; Tang [J. Amer. Statist. Assoc. 88 (1993) 1392-1397]) have become popular in computer experiments, numerical integration, stochastic optimization and…

Statistics Theory · Mathematics 2014-09-24 Xu He , Peter Z. G. Qian

Array-of-structures (AoS) to structure-of-arrays (SoA) is a classic compiler transformation that improves memory locality and enables data-parallel execution. Existing AoS-to-SoA transformations primarily target regular, array-based…

Programming Languages · Computer Science 2026-05-05 Vidush Singhal , Mikah Kainen , Artem Pelenitsyn , Michael H. Borkowski , Mike Vollmer , Milind Kulkarni

We introduce the concept of $\D$-operators associated to a sequence of polynomials $(p_n)_n$ and an algebra $\A$ of operators acting in the linear space of polynomials. In this paper, we show that this concept is a powerful tool to generate…

Classical Analysis and ODEs · Mathematics 2013-02-06 Antonio J. Durán

Binary Decision Diagrams (BDDs) are a widely used data structure for efficient Boolean function representation. Context-Free-Language Ordered Binary Decision Diagrams (CFLOBDDs) are a recently introduced hierarchical data structure that…

Formal Languages and Automata Theory · Computer Science 2026-05-18 Meghana Aparna Sistla , Swarat Chaudhuri , Thomas W. Reps

We present a novel hierarchical framework for optimal transport (OT) using string diagrams, namely string diagrams of optimal transports. This framework reduces complex hierarchical OT problems to standard OT problems, allowing efficient…

Artificial Intelligence · Computer Science 2025-01-28 Kazuki Watanabe , Noboru Isobe

Classifying orthogonal arrays is a well known important class of problems that asks for finding all non-isomorphic, non-negative integer solutions to a class of systems of constraints. Solved instances are scarce. We develop two new methods…

Combinatorics · Mathematics 2021-04-23 Dursun A. Bulutoglu , Kenneth J. Ryan

Self-orthogonal codes are a significant class of linear codes in coding theory and have attracted a lot of attention. In \cite{HLL2023Te,LH2023Se}, $p$-ary self-orthogonal codes were constructed by using $p$-ary weakly regular bent…

Information Theory · Computer Science 2024-03-20 Jiaxin Wang , Yadi Wei , Fang-Wei Fu , Juan Li

Array configurations built on a hierarchy of simple elements have excellent properties for cross-correlation imaging interferometers including a smooth distribution of measured Fourier components, high angular resolution, low side lobes,…

Instrumentation and Methods for Astrophysics · Physics 2012-09-05 Eric Keto

Difference arrays are used in applications such as software testing, authentication codes and data compression. Pseudo-orthogonal Latin squares are used in experimental designs. A special class of pseudo-orthogonal Latin squares are the…

Combinatorics · Mathematics 2017-01-23 Fatih Demirkale , Diane M. Donovan , Joanne Hall , Abdollah Khodkar , Asha Rao

It is known that a Delsarte $t$-design in a $Q$-polynomial association scheme has degree at least $\left \lceil{\frac{t}{2}}\right \rceil $. Following Ionin and Shrikhande who studied combinatorial $(2s-1)$-designs (i.e., Delsarte designs…

Combinatorics · Mathematics 2025-12-30 Alexander L. Gavrilyuk , Sho Suda

Array structures based on the sum and difference co-arrays provide more degrees of freedom (DOF). However, since the growth of DOF is limited by a single case of sum and difference co-arrays, the paper aims to design a sparse linear array…

Signal Processing · Electrical Eng. & Systems 2025-04-24 Si Wang , Guoqiang Xiao

Analogously to de Bruijn sequences, Orientable sequences have application in automatic position-location applications and, until recently, studies of these sequences focused on the binary case. In recent work by Alhakim et al., recursive…

Combinatorics · Mathematics 2026-03-20 Chris J Mitchell , Peter R Wild

Ordered Binary Decision Diagrams (OBDDs) are a data structure that is used in an increasing number of fields of Computer Science (e.g., logic synthesis, program verification, data mining, bioinformatics, and data protection) for…

Data Structures and Algorithms · Computer Science 2015-02-05 Anna Bernasconi , Valentina Ciriani , Lorenzo Lago

Oriented bounding box (OBB) bounding volume hierarchies offer a more precise fit than axis-aligned bounding box hierarchies in scenarios with thin elongated and arbitrarily rotated geometry, enhancing intersection test performance in ray…

In the previous works of the authors, a step-by-step algorithm FOP which uses any fixed order of points in the projective plane $\mathrm{PG}(2,q)$ is proposed to construct small complete arcs. In each step, the algorithm adds to a current…

Conventional fixed-orientation antenna (FOA) arrays offer limited degrees of freedom (DoF) for flexible beamforming such as null steering. To address this limitation, we propose a new rotatable antenna array (RAA) architecture in this…

Signal Processing · Electrical Eng. & Systems 2025-12-16 Yingqi Wen , Weidong Mei , Yike Xie , Beixiong Zheng , Zhi Chen , Boyu Ning

Structure learning methods for covariance and concentration graphs are often validated on synthetic models, usually obtained by randomly generating: (i) an undirected graph, and (ii) a compatible symmetric positive definite (SPD) matrix. In…

Methodology · Statistics 2019-10-02 Irene Córdoba , Gherardo Varando , Concha Bielza , Pedro Larrañaga

Open-set recognition (OSR) aims to simultaneously detect unknown-class samples and classify known-class samples. Most of the existing OSR methods are inductive methods, which generally suffer from the domain shift problem that the learned…

Computer Vision and Pattern Recognition · Computer Science 2022-07-14 Jiayin Sun , Qiulei Dong
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