Search Results - "Jamshidpey, Armin"
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Subquadratic-Time Algorithms for Normal Bases
Published in Computational complexity (01-06-2021)“…For any finite Galois field extension K/F, with Galois group G = Gal (K/F), there exists an element α ∈ K whose orbit G · α forms an F-basis of K. Such an α is…”
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Journal Article -
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Algebraic Tori: A Computational Approach
Published 01-01-2017“…The rationality problem for algebraic tori is well known. It is known that any algebraic torus is unirational over its field of definition. The first purpose…”
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Dissertation -
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Subquadratic-Time Algorithms for Normal Bases
Published 05-05-2020“…For any finite Galois field extension $\mathsf{K}/\mathsf{F}$, with Galois group $G = \mathrm{Gal}(\mathsf{K}/\mathsf{F})$, there exists an element $\alpha \in…”
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Journal Article -
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Quadratic Probabilistic Algorithms for Normal Bases
Published 07-03-2019“…It is well known that for any finite Galois extension field $K/F$, with Galois group $G = \mathrm{Gal}(K/F)$, there exists an element $\alpha \in K$ whose…”
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Journal Article -
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Algebraic Construction of Quasi-split Algebraic Tori
Published 29-01-2018“…The main purpose of this work is to give a constructive proof for a particular case of the no-name lemma. Let $G$ be a finite group, $K$ be a field, $L$ be a…”
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Journal Article