Results 91 to 100 of about 1,826,401 (170)
A Spatial Analog of the Compass Rose Constructed Using Galois Fields
ComputationThis paper proposes a spatial analog of the compass rose, constructed using finite fields and the discrete logarithm operation. The basic idea is to match the geometric elements of regular and semiregular polyhedra with elements of Galois fields (GF ...
Ibragim Suleimenov, Akhat Bakirov
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Equivariant Riemann-Roch theorems for curves over perfect fields
, 2008 We prove an equivariant Riemann-Roch formula for divisors on algebraic curves over perfect fields. By reduction to the known case of curves over algebraically closed fields, we first show a preliminary formula with coefficients in Q.
Koeck, Bernhard +3 more
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On the l-adic cohomology of varieties over number fields and its Galois cohomology [PDF]
, 1989 Jannsen, Uwe
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ComputersIrreducible polynomials are widely used in modern cryptography; however, algorithms for finding such polynomials remain quite complex and require significant computational resources.
Dina Shaltykova +3 more
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Quasifinite fields of prescribed characteristic and Diophantine dimension
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaLet ℙ be the set of prime numbers, ℙ the union ℙ ∪ {0}, and for any field E, let char(E) be its characteristic, ddim(E) the Diophantine dimension of E, 𝒢E the absolute Galois group of E, and cd(𝒢E) the Galois cohomological dimension 𝒢E.
Chipchakov Ivan D., Paunov Boyan B.
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Ricerche di matematica con Giuseppina Varone
Science & Philosophy, 2013 In memory of the researcher Pina Varone, I present the research carried out together for over 20 years. Some relevant issues and applicants were: the connection between teaching and research, and as an in-depth teaching emerge new research topics; the ...
Antonio Maturo
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, 2013 A Galois scaffold, in a Galois extension of local fields with perfect residue fields, is an adaptation of the normal basis to the valuation of the extension field, and thus can be applied to answer questions of Galois module structure.
NP Byott (21868757)
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, 1972 The purpose of this thesis is to examine the correspondence between groups of automorphsims and fields and to prove the Fundamental Theorem of Galois Theory. The fields under consideration are infinite.
Mastin, Millicent Gay +1 more
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SYNTHESIS OF PRIMITIVE MATRICES OVER A FINITE GALOIS FIELDS AND THEIR APPLICATIONS
Ìнформаційні технології в освіті, 2012 The algorithms for constructing generalized primitive matrices Galois and Fibonacci arbitrary order , the items belong to the prime field , . The examples of application of these matrices in the problems of the synthesis of generalized linear shift ...
A.J. Beletsky, А.А. Beletsky
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