Sets of Subspaces of a Projective Plane PG(2,q) Over Galois Field GF(q)
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 In this thesis, some sets of subspaces of projective plane PG(2,q) over Galois field GF(q) and the relations between them by some theorems and examples can be shown.
M. J. Mahammad
doaj
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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Classification and Construction of (k,3)-Arcs on Projective Plane Over Galois Field GF(7)
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 The purpose of this work is to study the classification and construction of (k,3)-arcs in the projective plane PG(2,7). We found that there are two (5,3)-arcs, four (6,3)-arcs, six (7,3)arcs, six (8,3)-arcs, seven (9,3)-arcs, six (10,3)-arcs and six ...
Adil M. Ahmad +2 more
doaj
Resource Shared Galois Field Computation for Energy Efficient AES/CRC in IoT Applications. [PDF]
IEEE Trans Sustain Comput, 2019 Noor SM, John EB.
europepmc +1 more source
Designing A Computer Program to Determine the Points and Planes in 3-Dimensional Projective Space
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 The purpose of this work is to determine the points and planes of 3-dimensional projective space PG(3,2) over Galois field GF(q), q=2,3 and 5 by designing a computer program.
A. S. Al-Mukhtar, J.N. Jassim
doaj
Correspondence theorems for infinite Hopf-Galois extensions [PDF]
This paper extends Hopf-Galois theory to infinite field extensions and provides a natural definition of subextensions. For separable (possibly infinite) Hopf-Galois extensions, it provides a Galois correspondence. This correspondence also is a refinement
Bui, Hoan-Phung +2 more
core +3 more sources
Seminuclear Extensions of Galois Fields
American Journal of Mathematics, 1960 Hughes, D. R., Kleinfeld, Erwin
openaire +2 more sources
The Arithmetic of Polynomials in a Galois Field
American Journal of Mathematics, 1931 openaire +4 more sources
High accuracy indoor positioning system using Galois field-based cryptography and hybrid deep learning. [PDF]
Sci RepHazzazi MM +5 more
europepmc +1 more source
The specifics of the Galois field GF(257) and its use for digital signal processing. [PDF]
Sci RepBakirov A +4 more
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