Results 11 to 20 of about 4,855,327 (290)
On orders of optimal normal basis generators [PDF]
Mathematics of Computation, 1994 In this paper we give some experimental results on the multiplicative orders of optimal normal basis generators in F 2 n {F_{{2^n}}} over F 2 {F_2} for
Shuhong Gao, Scott A. Vanstone
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New Advances in the Value of the Normal Urinary Albumin as a Predictor of Multiple Diseases [PDF]
Zhongguo quanke yixue, 2022 The association of the normal range of urinary albumin and its associated diseases (mainly including diabetic kidney diseases, diabetic retinopathy, cardiovascular disease, and metabolic syndrome) has been an increasing concern, and the range of normal ...
SUN Zhenzhen, LIU Huanhuan, CHEN Kaining, LOU Qingqing
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Variations of the Primitive Normal Basis Theorem [PDF]
Designs, Codes and Cryptography, 2018 19 ...
Giorgos Kapetanakis, Lucas Reis
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Identification of tagged glycans with a protein nanopore
Nature Communications, 2023 The structural complexity of glycans seriously challenges the currently available analytical methods. Here, the authors report the identification of glycan isomers, glycans with varying chain lengths, and distinct branched glycans, via a glycan ...
Minmin Li +13 more
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The valuation criterion for normal basis generators [PDF]
, 2010 If $L/K$ is a finite Galois extension of local fields, we say that the valuation criterion $VC(L/K)$ holds if there is an integer $d$ such that every element $x \in L$ with valuation $d$ generates a normal basis for $L/K$.
de Smit, Bart +2 more
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Generalizations of the normal basis theorem
MATHEMATICA SCANDINAVICA, 2004 We give several generalizations of the normal basis and primitive element theorems for a finite Galois field extension, with an infinite base field. These generalizations are obtained by considering polynomial expressions of conjugates of a fixed element.
Björkholdt, Elise, Lundström, Patrik
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Construction of Self-Dual Integral Normal Bases in Abelian Extensions of Finite and Local Fields [PDF]
, 2010 Let $F/E$ be a finite Galois extension of fields with abelian Galois group $\Gamma$. A self-dual normal basis for $F/E$ is a normal basis with the additional property that $Tr_{F/E}(g(x),h(x))=\delta_{g,h}$ for $g,h\in\Gamma$. Bayer-Fluckiger and Lenstra
Atiyah M. F. +8 more
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The method of normal local stabilization
Проблемы анализа, 2019 A problem of nonlinear systems stabilization is studied. Admissible controls are piecewise constant. The notion of normal local stabilizability is proposed.
Kirillov A. N.
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The strong primitive normal basis theorem [PDF]
Acta Arithmetica, 2010 An element w of the extension E of degree n over the finite field F=GF(q) is called free over F if {w, w^q,...,w^{q^{n-1}}} is a (normal) basis of E/F. The Primitive Normal Basis Theorem, first established in full by Lenstra and Schoof (1987), asserts that for any such extension E/F, there exists an element w in E such that w is simultaneously ...
Cohen, Stephen D., Huczynska, Sophie
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Invariance of recurrence sequences under a galois group
International Journal of Mathematics and Mathematical Sciences, 1996 Let F be a Galois field of order q, k a fixed positive integer and R=Fk×k[D] where D is an indeterminate. Let L be a field extension of F of degree k. We identify Lf with fk×1 via a fixed normal basis B of L over F. The F-vector space Γk(F)(=Γ(L)) of all
Hassan Al-Zaid, Surjeet Singh
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