This video is a brief introduction to linear codes: dimensions, G (generating matrix), H (parity check matrix), their forms. Also gives an example of how to convert between G and H. Here is the formal definition of a Linear Code: A linear code of dimension k and length n over a field
From playlist Cryptography and Coding Theory
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
What is the parent function of a linear graph
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
How to determine if an equation is a linear relation
👉 Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must not be in the denominator of any rational term and c
From playlist Write Linear Equations
When do you know if a relations is in linear standard form
👉 Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must not be in the denominator of any rational term and c
From playlist Write Linear Equations
What are the x and y intercepts of a linear equation
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
How do you graph an equation using the intercept method
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
Determining if equations are linear - Free Math Videos - Online Tutor
👉 Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must not be in the denominator of any rational term and c
From playlist Write Linear Equations
CONFERENCE Recording during the thematic meeting : « ALgebraic and combinatorial methods for COding and CRYPTography» the February 20, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldwid
From playlist Combinatorics
An Introduction to Binary Code Bounds - Fernando Granha Jeronimo
A binary code is simply any subset of 0/1 strings of a fixed length. Given two strings, a standard way of defining their distance is by counting the number of positions in which they disagree. Roughly speaking, if elements of a code are sufficiently far apart, then the code is resilient to
From playlist Mathematics
Xavier Caruso: Ore polynomials and application to coding theory
In the 1930’s, in the course of developing non-commutative algebra, Ore introduced a twisted version of polynomials in which the scalars do not commute with the variable. About fifty years later, Delsarte, Roth and Gabidulin realized (independently) that Ore polynomials could be used to de
From playlist Algebraic and Complex Geometry
4. Linear block codes, parity relations
MIT 6.02 Introduction to EECS II: Digital Communication Systems, Fall 2012 View the complete course: http://ocw.mit.edu/6-02F12 Instructor: George Verghese This lecture continues to cover linear block codes. The generator matrix and matrix notation are introduced, along with examples of e
From playlist MIT 6.02 Introduction to EECS II: Digital Communication Systems, Fall 2012
Lec 16 | MIT 6.451 Principles of Digital Communication II
Trellis Representations of Binary Linear Block Codes View the complete course: http://ocw.mit.edu/6-451S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.451 Principles of Digital Communication II
The PCP theorem, locally testable codes, and property testing - Irit Dinur
Stability and Testability Topic: The PCP theorem, locally testable codes, and property testing Speaker: Irit Dinur Affiliation: Weizmann Institute of Science Date: January 13, 2021 For more video please visit http://video.ias.edu
From playlist Stability and Testability
5. Error correction, syndrome decoding
MIT 6.02 Introduction to EECS II: Digital Communication Systems, Fall 2012 View the complete course: http://ocw.mit.edu/6-02F12 Instructor: George Verghese This lecture continues to explore error correction through a closer look at the generator matrix and the parity check matrix. Syndrom
From playlist MIT 6.02 Introduction to EECS II: Digital Communication Systems, Fall 2012
Locally Repairable Codes, Storage Capacity and Index Coding - Arya Mazumdar
Computer Science/Discrete Mathematics Seminar I Topic: Locally Repairable Codes, Storage Capacity and Index Coding Speaker: Arya Mazumdar Affiliation: University of Massachusetts, Amherst Date: Febuary 5, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
David Gross: "Stabilizer Formalism & Quantum Error Correction Through the Lens of Tensors (Pt 1/2)"
Watch part 2/2 here: https://youtu.be/me4afxkipIw Tensor Methods and Emerging Applications to the Physical and Data Sciences Tutorials 2021 "The Stabilizer Formalism and Quantum Error Correction Through the Lens of Tensors (Part 1/2)" David Gross - Universität zu Köln Abstract: Many-bod
From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021
Summary for graph an equation in Standard form
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
Camilla Hollanti : Almost there: capacity of PIR from coded and colluding servers
CONFERENCE Recording during the thematic meeting : « ALgebraic and combinatorial methods for COding and CRYPTography» the February 21, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given b
From playlist Mathematics in Science & Technology