A compact and efficient AES-32GF for encryption in small IoT devices. [PDF]
MethodsX, 2023 Dhanda SS, Jindal P, Singh B, Panwar D.
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An explicit bound on reducibility of mod $\mathfrak{l}$ Galois image for Drinfeld modules of arbitrary rank and its application on the uniformity problem [PDF]
, 2021 Chien‐Hua Chen
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Invitation to higher local fields, Part II, section 10: Galois modules and class field theory [PDF]
, 2000 Boas Erez
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Frobenius modules and Galois representations
Annales de l'Institut Fourier, 2009 Frobenius modules are difference modules with respect to a Frobenius operator. Here we show that over non-archimedean complete differential fields Frobenius modules define differential modules with the same Picard-Vessiot ring and the same Galois group schemes up to extension by constants.
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A Novel Cipher-Based Data Encryption with Galois Field Theory. [PDF]
Sensors (Basel), 2023 Hazzazi MM +3 more
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Non-abelian Anderson A-modules: Comparison isomorphisms and Galois representations [PDF]
Andreas Maurischat
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Artin–Schreier extensions and Galois module structure
Journal of Number Theory, 2003 Let \(k=\mathbb F((T))\) be the field of Laurent series in \(T\) over the finite field \(\mathbb F\) of characteristic \(p>0\) and \(L\) an Artin-Schreier extension of \(k\) of degree \(p\) such that the valuation ring \(O_L\) of \(L\) is wildly ramified over \(O_k =\mathbb F[[T]]\). The author gives an \(O_k\)-basis for the associated order \(A(L/k) =
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Another look at rational torsion of modular Jacobians. [PDF]
Proc Natl Acad Sci U S A, 2022 Ribet KA, Wake P.
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On the relative Galois module structure of rings of integers in tame extensions [PDF]
, 2018 A. Agboola, Leon R. McCulloh
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Φ-Γ-Modules for Families of Galois Representations
Journal of Algebra, 2001 This paper shows that Fontaine's ``Linearisation Approach'' for \(Z_p\)-adic representations of an absolute local Galois group \(G_K\) carries over to a setting where the base ring \(Z_p\) is replaced by a general coefficient ring \(R\), that is, \(R\) is noetherian complete with finite residue field of characteristic \(p\).
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