In coding theory, a polynomial code is a type of linear code whose set of valid code words consists of those polynomials (usually of some fixed length) that are divisible by a given fixed polynomial (of shorter length, called the generator polynomial). (Wikipedia).
Classify a polynomial then determining if it is a polynomial or not
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio
From playlist Is it a polynomial or not?
Determining if a equation is a polynomial or not
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio
From playlist Is it a polynomial or not?
Learn how to identify if a function is a polynomial and identify the degree and LC
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio
From playlist Is it a polynomial or not?
Is it a polynomial with two variables
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio
From playlist Is it a polynomial or not?
Determining if a function is a polynomial or not then determine degree and LC
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio
From playlist Is it a polynomial or not?
Determine if a Function is a Polynomial Function
This video explains how to determine if a function is a polynomial function. http://mathispower4u.com
From playlist Determining the Characteristics of Polynomial Functions
Labeling a polynomial based on the degree and number of terms
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1
From playlist Classify Polynomials | Equations
Classifying a polynomial based on its degree and number of terms
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1
From playlist Classify Polynomials | Equations
New Locally Decodable Codes from Lifting - Madhu Sudan
Madhu Sudan Microsoft Research March 25, 2013 Locally decodable codes (LDCs) are error-correcting codes that allow for highly-efficient recovery of "pieces" of information even after arbitrary corruption of a codeword. Locally testable codes (LTCs) are those that allow for highly-efficient
From playlist Mathematics
Algorithmizing the Multiplicity Schwartz-Zippel Lemma - Prahladh Harsha
Computer Science/Discrete Mathematics Seminar I Topic: Algorithmizing the Multiplicity Schwartz-Zippel Lemma Speaker: Prahladh Harsha Affiliation: Tata Institute of Fundamental Research Date: January 31, 2022 The degree mantra states that any non-zero univariate polynomial of degree at
From playlist Mathematics
Alain Couvreur - Comment domestiquer les codes de Goppa sauvages?
Le schéma de McEliece est un schéma de chiffrement basé sur les codes correcteurs d'erreurs dont la sécurité repose sur la difficulté à décoder un code aléatoire. Parmi les différentes familles de codes algébriques proposées pour ce schéma, les codes de Goppa classiques sont les seuls à ré
From playlist Journées Codage et Cryptographie 2014
Seminar on Applied Geometry and Algebra (SIAM SAGA): Gretchen Matthews
Title: Multivariate Goppa Codes Speaker: Gretchen Matthews, Virginia Tech Date: Tuesday, May 10, 2022 at 11:00am Eastern Abstract: Goppa codes were introduced in 1971 by V. D. Goppa using a univariate polynomial g(x), called a generator polynomial, over a finite field. Properties of the G
From playlist Seminar on Applied Geometry and Algebra (SIAM SAGA)
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
Bias vs Low Rank of Polynomials with...Algebraic Geometry - Abhishek Bhowmick
Let f be a polynomial of degree d in n variables over a finite field 𝔽. The polynomial is said to be unbiased if the distribution of f(x) for a uniform input x∈𝔽n is close to the uniform distribution over 𝔽, and is called biased otherwise. The polynomial is said to have low rank if it can
From playlist Mathematics
How to classify a polynomial by it's degree and number of terms
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1
From playlist Classify Polynomials | Equations
Gwezheneg Robert - Généralisation des codes de Gabidulin à la caractéristique nulle
Généralisation des codes de Gabidulin à la caractéristique nulle
From playlist Journées Codage et Cryptographie 2014
Polynomial Maps With Noisy Input-Distributions - Jop Briet
Workshop on Additive Combinatorics and Algebraic Connections Topic: Polynomial Maps With Noisy Input-Distributions Speaker: Jop Briet Affiliation: Centrum Wiskunde & Informatica Date: October 25, 2022 A problem from theoretical computer science posed by Buhrman asks to show that a certa
From playlist Mathematics
Ivelisse Rubio: "Exploring, generalizing and applying the covering method"
Latinx in the Mathematical Sciences Conference 2018 "Exploring, generalizing and applying the covering method" Ivelisse Rubio, University of Puerto Rico, Rio Piedras ABSTRACT: The divisibility of exponential sums has been used to characterize and prove properties in coding theory, crypto
From playlist Latinx in the Mathematical Sciences 2018
On Low-Degree Polynomials - Madhu Sudan
A Celebration of Mathematics and Computer Science Celebrating Avi Wigderson's 60th Birthday October 5 - 8, 2016 More videos on http://video.ias.edu
From playlist Mathematics
Learn how to write a polynomial in standard form and classify
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1
From playlist Classify Polynomials | Equations