Essays about: "Finite Fields"

Showing result 21 - 25 of 79 essays containing the words Finite Fields.

1. 21. Cyclotomic Fields and Fermat's Last Theorem

   University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)

   Author : Samuel Runyeon Odeberg; [2021]
   Keywords : pure mathematics; number theory; algebra; algebraic number theory; cyclotomic fields; cyclotomic rings; cycltomic integers; Fermat s last theorem; Mathematics and Statistics;

   Abstract : Number theory is in a sense among the oldest disciplines of mathematics. A running theme is that many number theoretic problems are very easy to state and understand. However, actually solving these problems often requires much work or some very clever trick. READ MORE

3. 22. GPU-Accelerated Monte Carlo Geometry Processing for Gradient-Domain Methods

   University essay from Linköpings universitet/Medie- och Informationsteknik; Linköpings universitet/Tekniska fakulteten

   Author : Linus Mossberg; [2021]
   Keywords : Monte Carlo; geometry processing; partial differential equations; Poisson equation; seamless image editing; distance field; importance sampling; random walk on spheres;

   Abstract : This thesis extends the utility of the Monte Carlo approach to PDE-based methods presented in the paper Monte Carlo Geometry Processing. In particular, we implement this method on the GPU using CUDA, and investigate more viable methods of estimating the source integral when solving Poisson’s equation with intricate source terms. READ MORE

4. 23. An aeroelastic prediction model for slender wings in supersonic flow

   University essay from KTH/Flygdynamik

   Author : Zakarias Priebe; Alexander Hasp Frank; [2021]
   Keywords : ;

   Abstract : Aeroelasticity is a multidisciplinary subject encompassing several fields of study. Aeroelastic behaviour is defined by the relation between inertial-, elastic- and aerodynamic forces that appear in dynamic systems in steady- or unsteady conditions. READ MORE

5. 24. Partitioning oracle attacks against variants of AES-GCM and ChaCha20-Poly1305

   University essay from Linnéuniversitetet/Institutionen för matematik (MA)

   Author : Pontus Tordsson; [2021]
   Keywords : partitioning oracle attack; AES-GCM; ChaCha20-Poly1305;

   Abstract : We investigate so-called partitioning oracle attacks against AES-GCM and ChaCha20-Poly1305 along with some improvements. Such attacks against these two cryptosystems are efficient because they can be reduced to solving linear systems of equations over finite fields. READ MORE

6. 25. Magnetic field design for polarised neutrons in European Spallation Neutron Source instruments

   University essay from Lunds universitet/Kärnfysik; Lunds universitet/Fysiska institutionen

   Author : Andrea Monzani; [2021]
   Keywords : FEM; COMSOL; uniform magnetic field; neutron scattering; European Spallation Source; neutron adiabaticity; neutron spin filtering; neutron spin transport; 3He polarisation analyser; Halbach coils; tetracoil; instrument design; neutron diffractometer; nuclear physics; material science; physics simulation; Physics and Astronomy;

   Abstract : The goal of this project is the design of the magnetic field of the neutron analyser for the European Spallation Source instrument DREAM (Diffraction Resolved by Energy and Angle Measurements). This instrument is a neutron diffractometer and its purpose is the determination of the magnetic and chemical structure of materials. READ MORE