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The automorphisms and error orbits of Reed – Solomon codes

Доклады Белорусского государственного университета информатики и радиоэлектроники, 2020
The purpose of this work with its results presented in the article was to develop and transfer to the class of Reed – Solomon codes (RS-codes) the basic provisions of the theory of syndrome norms (TNS), previously developed for the noise-resistant coding
S. I. Semyonov, V. A. Lipnitsky
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Complete Classification of Cylindrically Symmetric Static Spacetimes and the Corresponding Conservation Laws

Mathematics, 2016
In this paper we find the Noether symmetries of the Lagrangian of cylindrically symmetric static spacetimes. Using this approach we recover all cylindrically symmetric static spacetimes appeared in the classification by isometries and homotheties.
Farhad Ali, Tooba Feroze
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Homotheties of a Class of Spherically Symmetric Space-Time Admitting G3 as Maximal Isometry Group

Advances in Mathematical Physics, 2018
The homotheties of spherically symmetric space-time admitting G4, G6, and G10 as maximal isometry groups are already known, whereas, for the space-time admitting G3 as isometry groups, the solution in the form of differential constraints on metric ...
Daud Ahmad, Kashif Habib
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On four dimensional Dupin hypersurfaces in Euclidean space

Anais da Academia Brasileira de Ciências, 2003
Dupin hypersurfaces in five dimensional Euclidean space parametrized by lines of curvature, with four distinct principal curvatures, are considered. A generic family of such hypersurfaces is locally characterized in terms of the principal curvatures and ...
CARLOS M. C. RIVEROS, KETI TENENBLAT
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Geometrical/Physical Interpretation of the Conserved Quantities Corresponding to Noether Symmetries of Plane Symmetric Space-Times

Advances in Mathematical Physics, 2017
The aim of this paper is to give the geometrical/physical interpretation of the conserved quantities corresponding to each Noether symmetry of the geodetic Lagrangian of plane symmetric space-times.
Bismah Jamil, Tooba Feroze, Andrés Vargas +2 more
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The Geometric Transformations in Space: Isometries

Science & Philosophy, 2015
This study proposes the characterization of geometric transformations in space, with particular reference to Isometries and to Homotheties, with simple demonstrations of Euclidean type.
Ferdinando Casolaro, Luca Cirillo, Raffaele Prosperi +2 more
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Hyper-Kähler Manifolds of Generalized Kummer Type and the Kuga-Satake Correspondence. [PDF]

Milan J Math, 2022
Varesco M, Voisin C.
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Refining Our Understanding of the Flow Through Coronary Artery Branches; Revisiting Murray's Law in Human Epicardial Coronary Arteries. [PDF]

Front Physiol, 2022
Taylor DJ +11 more
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On Gaps in the Orders of Complete Groups of Isometry and Homoteties in Specialized Riemannian Spaces and Metrics of the Most Mobile of These Spaces of the First Six Lacunars

Доклады Белорусского государственного университета информатики и радиоэлектроники
In the present paper there are considered metric Riemannian spaces Vn4a, in the metrics of which four algebraic structures work at once: real numbers Dm1 and complex numbers Cm2, quaternions Hm3 and octions Om4.
Z. N. Chetyrkina
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Curvature-driven morphing of non-Euclidean shells. [PDF]

Proc Math Phys Eng Sci, 2017
Pezzulla M, Stoop N, Jiang X, Holmes DP.
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