Results 11 to 20 of about 5,376,358 (214)
An Efficient Audio Encryption Scheme Based on Finite Fields
IEEE Access, 2021 Finite fields are well-studied algebraic structures with enormous efficient properties which have applications in the fields of cryptology and coding theory.
Dawood Shah +5 more
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Journal of Symbolic Computation, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gema M. Diaz-Toca, Henri Lombardi
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Models of abstract and real systems based on broken symmetry group [PDF]
E3S Web of Conferences, 2020 This article shows that symmetry groups as well as broken symmetry groups in natural and abstract mathematical may be used as models of development and evolution objects while describing the states and transformations of such systems.
Gorshkov K.A. +3 more
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Galois lattice theory for probabilistic visual landmarks [PDF]
, 2004 This paper presents an original application of the Galois lattice theory, the visual landmark selection for topological localization of an autonomous mobile robot, equipped with a color camera.
Samuelides,Manuel +3 more
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Galois Theory for Finite Algebras of Operations and Multioperations of Rank 2
Известия Иркутского государственного университета: Серия "Математика", 2019 The construction of Galois theory for the algebras of operations and relations is a popular topic for investigation. It finds numerous applications in both algebra and discrete mathematics – especially for the perfect Galois connection, since if such a ...
N.A. Peryazev
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Generation modulo the action of a permutation group [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 Originally motivated by algebraic invariant theory, we present an algorithm to enumerate integer vectors modulo the action of a permutation group. This problem generalizes the generation of unlabeled graph up to an isomorphism.
Nicolas Borie
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Probabilistic Galois theory [PDF]
Bulletin of the London Mathematical Society, 2012 We show that there are at most $O_{n,ε}(H^{n-2+\sqrt{2}+ε})$ monic integer polynomials of degree $n$ having height at most $H$ and Galois group different from the full symmetric group $S_n$, improving on the previous 1973 world record $O_{n}(H^{n-1/2}\log H)$.
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An overview over the Infinite Galois Theory and Absolute Galois Groups [PDF]
, 2023 openIn this thesis the generalization of classical Galois Theory to the case of infinite algebraic extensions is analyzed. The key point is the notion of Krull topology on groups, providing a Fundamental Theorem of Galois Theory for infinite extensions ...
ZANIN, GIOVANNI
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SERRE WEIGHTS AND WILD RAMIFICATION IN TWO-DIMENSIONAL GALOIS REPRESENTATIONS
Forum of Mathematics, Sigma, 2016 A generalization of Serre’s Conjecture asserts that if $F$ is a totally real field, then certain characteristic
LASSINA DEMBÉLÉ +2 more
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Factor equivalence of Galois modules and regulator constants [PDF]
, 2013 We compare two approaches to the study of Galois module structures: on the one hand, factor equivalence, a technique that has been used by Fröhlich and others to investigate the Galois module structure of rings of integers of number fields and of their ...
Bartel, Alex, Alex Bartel
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