Results 71 to 80 of about 775 (194)

Artin–Schreier extensions and Galois module structure

open access: yesJournal 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) =
openaire   +2 more sources

Additive Galois module structure and Chinburg's invariant.

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 1992
Let \(N/K\) be a finite Galois extension of number fields with group \(\Gamma\). Let \(Cl(\mathbb{Z}\Gamma)\) be the locally free class group of the integral group ring \(\mathbb{Z}\Gamma\), and let \(D(\mathbb{Z}\Gamma)\subset Cl(\mathbb{Z}\Gamma)\) be its kernel group. T.
openaire   +1 more source

A compact and efficient AES-32GF for encryption in small IoT devices. [PDF]

open access: yesMethodsX, 2023
Dhanda SS, Jindal P, Singh B, Panwar D.
europepmc   +1 more source

Factorisability, group lattices, and galois module structure

open access: yesJournal of Algebra, 1990
Let \({\mathcal O}\) be a Dedekind domain with field of fractions K and let \(\Gamma\) be a finite abelian group. \textit{A. Fröhlich} [Ill. J. Math. 32, 407-421 (1988; Zbl 0664.12007)] has introduced the notion of factor equivalence between two \({\mathcal O}\Gamma\)-lattices, which is a weaker relation than that of being in the same genus.
openaire   +1 more source

A Novel Cipher-Based Data Encryption with Galois Field Theory. [PDF]

open access: yesSensors (Basel), 2023
Hazzazi MM   +3 more
europepmc   +1 more source

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