Results 81 to 90 of about 47,929 (192)
Communications in Advanced Mathematical Sciences, 2019 The theory of $p$-ramification, regarding the Galois group of the maximal pro-$p$-extension of a number field $K$, unramified outside $p$ and $\infty$, is well known including numerical experiments with PARI/GP programs.
Georges Gras
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Advanced Engineering Research, 2018 Introduction. Polynomials in several variables over Galois fields provide the basis for the Reed-Muller coding theory, and are also used in a number of cryptographic problems.
V. M. Deundyak, N. S. Mogilevskaya
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Quadratic subfields on quartic extensions of local fields
International Journal of Mathematics and Mathematical Sciences, 1988 We show that any quartic extension of a local field of odd residue characteristic must contain an intermediate field. A consequence of this is that local fields of odd residue characteristic do not have extensions with Galois group A4 or S4 ...
Joe Repka
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Application of Partial Discrete Logarithms for Discrete Logarithm Computation
ComputersA novel approach to constructing an algorithm for computing discrete logarithms, which holds significant interest for advancing cryptographic methods and the applied use of multivalued logic, is proposed.
Dina Shaltykova +3 more
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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
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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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Resource Shared Galois Field Computation for Energy Efficient AES/CRC in IoT Applications. [PDF]
IEEE Trans Sustain Comput, 2019 Noor SM, John EB.
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Improving the efficiency of using multivalued logic tools: application of algebraic rings. [PDF]
Sci Rep, 2023 Suleimenov IE +3 more
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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
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Features of digital signal processing algorithms using Galois fields GF(2n+1). [PDF]
PLoS One, 2023 Suleimenov IE +2 more
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