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Titlebook: Geometry, Algebra and Applications: From Mechanics to Cryptography; Marco Castrillón López,Luis Hernández Encinas,Mª E Conference proceedi

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书目名称Geometry, Algebra and Applications: From Mechanics to Cryptography
编辑Marco Castrillón López,Luis Hernández Encinas,Mª E
视频video
概述Offers a unique collection of.contributions on different topics related to differential geometry and algebra.Encourages further exploration.Appeals to readers interestedin the applications of geometry
丛书名称Springer Proceedings in Mathematics & Statistics
图书封面Titlebook: Geometry, Algebra and Applications: From Mechanics to Cryptography; Marco Castrillón López,Luis Hernández Encinas,Mª E Conference proceedi
描述.This volume collects contributions written bydifferent experts in honor of Prof. Jaime Muñoz Masqué. It covers awide variety of research topics, from differential geometry to algebra, butparticularly focuses on the geometric formulation of variational calculus;geometric mechanics and field theories; symmetries and conservation laws ofdifferential equations, and pseudo-Riemannian geometry of homogeneous spaces.It also discusses algebraic applications to cryptography and number theory. Itoffers state-of-the-art contributions in the context of current researchtrends. The final result is a challenging panoramic view of connecting problemsthat initially appear distant..
出版日期Conference proceedings 2016
关键词Mathematical physics; Differential geometry; Data encryption; Data structures; Cryptology; Information th
版次1
doihttps://doi.org/10.1007/978-3-319-32085-4
isbn_softcover978-3-319-81193-2
isbn_ebook978-3-319-32085-4Series ISSN 2194-1009 Series E-ISSN 2194-1017
issn_series 2194-1009
copyrightSpringer International Publishing Switzerland 2016
The information of publication is updating

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,Euler–Poincaré Reduction by a Subgroup of Symmetries as an Optimal Control Problem, Euler–Poincaré reduction in . (.(.): the bundle of connections, . / .: the bundle of .-structures) induces an optimal control problem. The control variables of this problem are connections ., the dynamical variables . are .-structures, the Lagrangian density . is the reduction of . and the dynamica
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Implementation of Cryptographic Algorithms for Elliptic Curves,inted out that it is not enough to implement efficient algorithms that are secure from a theoretical point of view. In this sense, it is necessary to design algorithms that do not leak information which could allow an attacker to obtain the used keys, thus making the physical implementations of thos
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Flaws in the Application of Number Theory in Key Distribution Schemes for Multicast Networks,nt years, some new proposals for key distribution schemes are still proposed employing very similar erroneous concepts than those applied in 1999, which were already reported by professor Muñoz-Masqué in 2005. Some apparently well-constructed cryptographic equations suffer from a real weakness due t
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