Post-quantum cryptography | Lattice-based cryptography | Linear algebra | Computational number theory | Theory of cryptography | Lattice points | Cryptography
In mathematics, the goal of lattice basis reduction is to find a basis with short, nearly orthogonal vectors when given an integer lattice basis as input. This is realized using different algorithms, whose running time is usually at least exponential in the dimension of the lattice. (Wikipedia).
Reduction of Order - Linear Second Order Homogeneous Differential Equations Part 1
This video explains how to apply the method of reduction of order to solve a linear second order homogeneous differential equations. Site: http://mathispower4u
From playlist Second Order Differential Equations: Reduction of Order
Reduction of Order - Linear Second Order Homogeneous Differential Equations Part 2
This video explains how to apply the method of reduction of order to solve a linear second order homogeneous differential equations. Site: http://mathispower4u
From playlist Second Order Differential Equations: Reduction of Order
How to Find the Solution to a System by Using Elimination
👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e
From playlist Solve a System Algebraically | Algebra 2
Using Elimination and Adding to Solve a System of Equations
👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e
From playlist Solve a System Algebraically | Algebra 2
Solving a System Using Elimination and Adding
👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e
From playlist Solve a System Algebraically | Algebra 2
Rewriting a system of equations to align the variables apply the addition method
👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e
From playlist Solve a System Algebraically | Algebra 2
Learn How to Solve a System Using Elimination by Adding
👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e
From playlist Solve a System Algebraically | Algebra 2
How Solve a System of Equations Using Elimination
👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e
From playlist Solve a System Algebraically | Algebra 2
Phong NGUYEN - Recent progress on lattices's computations 2
This is an introduction to the mysterious world of lattice algorithms, which have found many applications in computer science, notably in cryptography. We will explain how lattices are represented by computers. We will present the main hard computational problems on lattices: SVP, CVP and
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Short vector problems and simultaneous approximation
Short vector problems and simultaneous approximation, by Daniel E. Martin, presented at ANTS XIV.
From playlist My Students
Mathematics of Post-Quantum Cryptograhy - Kristin Lauter
Woman and Mathematics - 2018 More videos on http"//video.ias.edu
From playlist My Collaborators
Chris Peikert - Post Quantum assumptions - IPAM at UCLA
Recorded 27 July 2022. Chris Peikert of the University of Michigan presents "Post Quantum assumptions" at IPAM's Graduate Summer School Post-quantum and Quantum Cryptography. Learn more online at: https://www.ipam.ucla.edu/programs/summer-schools/graduate-summer-school-on-post-quantum-and-
From playlist 2022 Graduate Summer School on Post-quantum and Quantum Cryptography
Quadratic forms and Hermite constant, reduction theory by Radhika Ganapathy
Discussion Meeting Sphere Packing ORGANIZERS: Mahesh Kakde and E.K. Narayanan DATE: 31 October 2019 to 06 November 2019 VENUE: Madhava Lecture Hall, ICTS Bangalore Sphere packing is a centuries-old problem in geometry, with many connections to other branches of mathematics (number the
From playlist Sphere Packing - 2019
Solve a System of Equations by Using Elimination
👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e
From playlist Solve a System Algebraically | Algebra 2
Katherine E. Stange: Ring learning with errors and rounding
CIRM HYBRID EVENT Among the main candidates for post-quantum cryptography are systems based on the Ring Learning with Errors and Ring Learning with Rounding problems. I’ll give an overview of the number theory involved in these problems and try to persuade you to join in cryptanalyzing th
From playlist Number Theory
Adeline Roux-Langlois : Using structured variants in lattice-based cryptography - Lecture 2
CONFERENCE Recording during the thematic meeting : « Francophone Computer Algebra Days» the March 07, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker : Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIR
From playlist Mathematical Aspects of Computer Science
Solve a System of Linear Equations Using Elimination
👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e
From playlist Solve a System of Equations Using Elimination | Medium
Haotian Jiang: Minimizing Convex Functions with Integral Minimizers
Given a separation oracle SO for a convex function f that has an integral minimizer inside a box with radius R, we show how to find an exact minimizer of f using at most • O(n(n + log(R))) calls to SO and poly(n,log(R)) arithmetic operations, or • O(nlog(nR)) calls to SO and exp(O(n)) · po
From playlist Workshop: Continuous approaches to discrete optimization