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In this paper we construct new Griesmer codes of dimension $k\geq 5$ by means of some geometric methods such as projective dual and geometric puncturing.

Information Theory · Computer Science 2020-09-28 Wen Ma , Jinquan Luo

In this letter, we evaluate the finite-length performance of network coding when using either random or structured encoding matrices. First, we present our novel construction of structured network codes over Fq (q = 2^m) using Pascal…

Networking and Internet Architecture · Computer Science 2019-11-28 Tan Do-Duy , M. Angeles Vazquez-Castro

RevelsMD is a new open source Python library, which uses reduced variance force sampling based estimators to calculate 3D particle densities and radial distribution functions from molecular dynamics simulations. This short note describes…

Computational Physics · Physics 2023-10-11 Samuel W. Coles , Benjamin J. Morgan , Benjamin Rotenberg

This work presents MLIR, a novel approach to building reusable and extensible compiler infrastructure. MLIR aims to address software fragmentation, improve compilation for heterogeneous hardware, significantly reduce the cost of building…

MDS self-dual codes have nice algebraic structures and are uniquely determined by lengths. Recently, the construction of MDS self-dual codes of new lengths has become an important and hot issue in coding theory. In this paper, we develop…

Information Theory · Computer Science 2022-10-04 Ruhao Wan , Yang Li , Shixin Zhu

Maximum distance separable (MDS) codes have significant combinatorial and cryptographic applications due to their certain optimality. Generalized Reed-Solomon (GRS) codes are the most prominent MDS codes. Twisted generalized Reed-Solomon…

Information Theory · Computer Science 2024-08-23 Chun'e Zhao , Wenping Ma , Tongjiang Yan , Yuhua Sun

In this short survey we concern ourselves with minimal codes, a classical object in coding theory. We will explain the relation between minimal codes and various other mathematical domains, in particular with finite projective geometry.…

History and Overview · Mathematics 2024-11-20 Martin Scotti

In this paper we introduce the class of Spread Codes for the use in random network coding. Spread Codes are based on the construction of spreads in finite projective geometry. The major contribution of the paper is an efficient decoding…

Information Theory · Computer Science 2016-11-17 Felice Manganiello , Elisa Gorla , Joachim Rosenthal

A computer code is described for the simulation of gravitational lensing data. The code incorporates adaptive mesh refinement in choosing which rays to shoot based on the requirements of the source size, location and surface brightness…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-29 R. Benton Metcalf , Margarita Petkova

A class of one-dimensional convolutional codes will be presented. They are all MDS codes, i. e., have the largest distance among all one-dimensional codes of the same length n and overall constraint length delta. Furthermore, their extended…

Information Theory · Computer Science 2007-07-13 Heide Gluesing-Luerssen , Barbara Langfeld

The MARS scanner is designed for the x-ray spectroscopic study of samples with the aid of computer tomography methods. Computer tomography allows the reconstruction of slices of an investigated sample using a set of shadow projections…

Mesh models are a promising approach for encoding the structure of 3D objects. Current mesh reconstruction systems predict uniformly distributed vertex locations of a predetermined graph through a series of graph convolutions, leading to…

Computer Vision and Pattern Recognition · Computer Science 2019-02-01 Edward J. Smith , Scott Fujimoto , Adriana Romero , David Meger

In the framework of the GLARE-X (Geodesy via LAser Ranging from spacE X) project, led by INFN and funded for the years 2019-2021, aiming at significantly advance space geodesy, one shows the initial activities carried out in 2019 in order…

Instrumentation and Methods for Astrophysics · Physics 2020-06-23 A. Bagolini , M. Boscardin , S. Dell'Agnello , G. Delle Monache , M. Di Paolo Emilio , L. Porcelli , L. Salvatori , M. Tibuzzi

In this work we present a new criterion to check if a given rank-metric code is a maximum rank distance (MRD) code. Moreover, we derive a criterion to check if a given MRD code is a generalized Gabidulin code. We then use these results to…

Information Theory · Computer Science 2017-10-04 Anna-Lena Horlemann-Trautmann , Kyle Marshall

Sum-rank-metric codes have wide applications in universal error correction, multishot network coding, space-time coding and the construction of partial-MDS codes for repair in distributed storage. Fundamental properties of sum-rank-metric…

Information Theory · Computer Science 2023-07-06 Hao Chen

Algebraic methods for the design of series of maximum distance separable (MDS) linear block and convolutional codes to required specifications and types are presented. Algorithms are given to design codes to required rate and required…

Information Theory · Computer Science 2022-07-14 Ted Hurley

We present MCSED, a new spectral energy distribution (SED)-fitting code, which mates flexible stellar evolution calculations with the Markov Chain Monte Carlo algorithms of the software package emcee. MCSED takes broad, intermediate, and…

We introduce the Mechanic, a new open-source code framework. It is designed to reduce the development effort of scientific applications by providing unified API (Application Programming Interface) for configuration, data storage and task…

Instrumentation and Methods for Astrophysics · Physics 2015-06-18 Mariusz Słonina , Krzysztof Goździewski , Cezary Migaszewski

Maximum distance separable (MDS) codes are optimal where the minimum distance cannot be improved for a given length and code size. Twisted Reed-Solomon codes over finite fields were introduced in 2017, which are generalization of…

Information Theory · Computer Science 2020-08-11 Hongwei Liu , Shengwei Liu