Results 11 to 20 of about 47,929 (192)
A Novel Cipher-Based Data Encryption with Galois Field Theory. [PDF]
Sensors (Basel), 2023 Hazzazi MM +3 more
europepmc +2 more sources
On Generalized Galois Cyclic Orbit Flag Codes
Mathematics, 2022 Flag codes that are orbits of a cyclic subgroup of the general linear group acting on flags of a vector space over a finite field, are called cyclic orbit flag codes.
Clementa Alonso-González +1 more
doaj +1 more source
Random Galois extensions of Hilbertian fields [PDF]
, 2012 Let L be a Galois extension of a countable Hilbertian field K.
Bary-Soroker, Lior, Fehm, Arno
core +2 more sources
SERRE WEIGHTS AND WILD RAMIFICATION IN TWO-DIMENSIONAL GALOIS REPRESENTATIONS
Forum of Mathematics, Sigma, 2016 A generalization of Serre’s Conjecture asserts that if $F$ is a totally real field, then certain characteristic
LASSINA DEMBÉLÉ +2 more
doaj +1 more source
A density theorem for parameterized differential Galois theory [PDF]
, 2014 We study parameterized linear differential equations with coefficients depending meromorphically upon the parameters. As a main result, analogously to the unparameterized density theorem of Ramis, we show that the parameterized monodromy, the ...
Dreyfus, Thomas
core +2 more sources
QUANTUM THEORY AND GALOIS FIELDS [PDF]
International Journal of Modern Physics B, 2006 We discuss the motivation and main results of a quantum theory over a Galois field (GFQT). The goal of the paper is to describe main ideas of GFQT in a simplest possible way and to give clear and simple arguments that GFQT is a more natural quantum theory than the standard one.
openaire +2 more sources
Advanced Adaptive Decoder Using Fulcrum Network Codes
IEEE Access, 2019 Reliable and effective forward error correction is challenging, especially in a heterogeneous transmission environment, due to the differences in computation capabilities of end devices.
Vu Nguyen +5 more
doaj +1 more source
Infinite Towers of Galois Defect Extensions of Kaplansky Fields
Annales Mathematicae Silesianae, 2018 We give conditions for Kaplansky fields to admit infinite towers of Galois defect extensions of prime degree. As proofs of the presented facts are constructive, this provides examples of constructions of infinite towers of Galois defect extensions of ...
Blaszczok Anna
doaj +1 more source
On finite arithmetic groups [PDF]
International Journal of Group Theory, 2013 Let $F$ be a finite extension of $Bbb Q$, ${Bbb Q}_p$ or a globalfield of positive characteristic, and let $E/F$ be a Galois extension.We study the realization fields offinite subgroups $G$ of $GL_n(E)$ stable under the naturaloperation of the Galois ...
Dmitry Malinin
doaj
S-Box on Subgroup of Galois Field
Cryptography, 2019 In substitution−permutation network as a cryptosystem, substitution boxes play the role of the only nonlinear part. It would be easy for adversaries to compromise the security of the system without them.
Tariq Shah, Ayesha Qureshi
doaj +1 more source