Results 21 to 30 of about 11,618,175 (381)
Efficient multiplication in finite field extensions of degree 5
International Conference on Cryptology in Africa, 2011 International audienceSmall degree extensions of finite fields are commonly used for cryptographic purposes. For extension fields of degree 2 and 3, the Karatsuba and Toom Cook formulae perform a multiplication in the extension field using 3 and 5 ...
Nadia El Mrabet +5 more
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Polynomial composites and certain types of fields extensions
Karpatsʹkì Matematičnì Publìkacìï, 2023 In this paper, we consider polynomial composites with the coefficients from $K\subset L$. We already know many properties, but we do not know the answer to the question of whether there is a relationship between composites and field extensions.
Ł. Matysiak
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SciPost Physics Lecture Notes, 2022 These lecture notes provide a brief introduction to extensions of gravity and their connections to dark energy. Due to time and space limitations this is not a comprehensive review of the field. Instead, I aim to introduce key concepts and ideas in this
Clare Burrage
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Extensions of two-field mimetic gravity
Journal of High Energy Physics, 2023 Two-field mimetic gravity was recently realized by looking at the singular limit of the conformal transformation between the auxiliary metric and the physical metric with two scalar fields involved.
Yunlong Zheng, Haomin Rao
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A Retrospective Study on Skellam and Related Distributions
Austrian Journal of Statistics, 2022 This paper reviews works on Skellam distribution, its extensions and areas of applications. Available literature shows that this distribution is flexible for modelling integer data where they appear as count data or paired count data in the field of ...
Lishamol Tomy, Veena G
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ISA Extensions for Finite Field Arithmetic
Transactions on Cryptographic Hardware and Embedded Systems, 2020 We present and evaluate a custom extension to the RISC-V instruction set for finite field arithmetic. The result serves as a very compact approach to software-hardware co-design of PQC implementations in the context of small embedded processors such as ...
Erdem Alkim +4 more
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The eigenspaces of twisted polynomials over cyclic field extensions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 Let K be a field and σ an automorphism of K of order n. Employing a nonassociative algebra, we study the eigenspace of a bounded skew polynomial f ∈ K[t; σ].
Owen Adam, Pumplün Susanne
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Some interactions between Hopf Galois extensions and noncommutative rings
Universitas Scientiarum, 2022 In this paper, our objects of interest are Hopf Galois extensions (e.g., Hopf algebras, Galois field extensions, strongly graded algebras, crossed products, principal bundles, etc.) and families of noncommutative rings (e.g., skew polynomial rings, PBW ...
Armando Reyes, Fabio Calderón
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A bridge to new physics: proposing new — and reviving old — explanations of a μ
Journal of High Energy Physics, 2022 The 4.2 σ tension in the combined measurement of the anomalous magnetic moment of the muon, a μ , and the Standard Model prediction strongly suggests the existence of beyond the Standard Model physics.
Guilherme Guedes, Pablo Olgoso
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Counting the number of distinct distances of elements in valued field extensions [PDF]
Journal of Algebra, 2017 The defect of valued field extensions is a major obstacle in open problems in resolution of singularities and in the model theory of valued fields, whenever positive characteristic is involved.
Anna Blaszczok, F. Kuhlmann
semanticscholar +1 more source