Coding theory | Finite fields

Cyclic code

In coding theory, a cyclic code is a block code, where the circular shifts of each codeword gives another word that belongs to the code. They are error-correcting codes that have algebraic properties that are convenient for efficient error detection and correction. (Wikipedia).

Cyclic code
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Cyclic Groups, Generators, and Cyclic Subgroups | Abstract Algebra

We introduce cyclic groups, generators of cyclic groups, and cyclic subgroups. We discuss an isomorphism from finite cyclic groups to the integers mod n, as well as an isomorphism from infinite cyclic groups to the integers. We establish a cyclic group of order n is isomorphic to Zn, and a

From playlist Abstract Algebra

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Definition of a Cyclic Group with Examples

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Cyclic Group with Examples

From playlist Abstract Algebra

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Cyclic Groups (Abstract Algebra)

Cyclic groups are the building blocks of abelian groups. There are finite and infinite cyclic groups. In this video we will define cyclic groups, give a list of all cyclic groups, talk about the name “cyclic,” and see why they are so essential in abstract algebra. Be sure to subscribe s

From playlist Abstract Algebra

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Cyclic groups and generators

Cyclic groups are first and foremost, as the term implies, groups. What makes them cyclic is that at least on of the elements in the set that makes up the group under a specific binary operation can generate the group by performing the binary operation on itself. So, if a is an element o

From playlist Abstract algebra

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Abstract Algebra | Subgroups of Cyclic Groups

We prove that all subgroups of cyclic groups are themselves cyclic. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Abstract Algebra

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Abstract Algebra | Cyclic Subgroups

We define the notion of a cyclic subgroup and give a few examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Abstract Algebra

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Cyclic Redundancy Check

Cyclic Redundancy Check is a method of searching for errors in a communications system. I'm Mr. Woo and my channel is all about learning - I love doing it, and I love helping others to do it too. I guess that's why I became a teacher! I hope you get something out of these videos - I uploa

From playlist Communications & Network Systems

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Abstract Algebra - 4.1 Cyclic Groups and Their Properties (𝑎^𝑖=𝑎^𝑗)

We took a brief look at cyclic subgroups in our last chapter. In this chapter, we will review the definition of a cyclic group and look at a few examples to be sure we understand the concept. We then want to take a look at one of the two theorems we have related to cyclic groups and their

From playlist Abstract Algebra - Entire Course

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Direct Products of Finite Cyclic Groups Video 1

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Direct Products of Finite Cyclic Groups Video 1. How to determine if a direct product of finite cyclic groups is itself cyclic. This video has very easy examples.

From playlist Abstract Algebra

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Crossed Products and Coding Theory by Yuval Ginosar

PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund

From playlist Group Algebras, Representations And Computation

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Masoud Khalkhali: Introduction to non commutative geometry 2

The lecture was held within the framework of the Hausdorff Trimester Program Non-commutative Geometry and its Applications. 8.9.2014

From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"

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Igor Kortchemski: Condensation in random trees - Lecture 1

We study a particular family of random trees which exhibit a condensation phenomenon (identified by Jonsson & Stefánsson in 2011), meaning that a unique vertex with macroscopic degree emerges. This falls into the more general framework of studying the geometric behavior of large random dis

From playlist Probability and Statistics

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Yanli Song: Higher index theorem for proper actions of Lie groups

Talk by Yanli Song in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on May 6, 2020.

From playlist Global Noncommutative Geometry Seminar (Americas)

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Lec 7 | MIT 6.451 Principles of Digital Communication II

Introduction to Finite Fields 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

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Pointers? In my Python? (It's More Likely Than You Think)

Ever wondered about the difference between is and ==, or why you might need to use deepcopy? Maybe you’ve been stumped by an interview question about object lifetimes, or overriding the __eq__ method. Or, perhaps, you just really want to see some tuples behaving badly. Join me for a tour

From playlist Python

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Teun van Nuland: The spectral action expanded in Yang-Mills and Chern-Simons forms

Talk by Teun van Nuland in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on December 15, 2020

From playlist Global Noncommutative Geometry Seminar (Europe)

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Lecture 13: The Cyclotomic Structure

In this video, we introduce the cyclotomic structure on THH. This is a map from THH to the Tate-C_p-construction of THH. This structure is specific to THH and does not exist on ordinary Hochschild homology. Feel free to post comments and questions at our public forum at https://www.uni-m

From playlist Topological Cyclic Homology

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Barry Sanders: Spacetime replication of continuous-variable quantum information

Abstract: Combining the relativistic speed limit on transmitting information with linearity and unitarity of quantum mechanics leads to a relativistic extension of the no-cloning principle called spacetime replication of quantum information. We introduce continuous-variable spacetime-repli

From playlist Mathematical Physics

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If G is Isomorphic to H then G is Cyclic iff H is Cyclic Proof

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys If G is Isomorphic to H then G is Cyclic iff H is Cyclic Proof

From playlist Abstract Algebra

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Hamming distance | Coding theory | Burst error | Finite field | Ideal (ring theory) | Cyclic redundancy check | Quadratic residue code | Hamming(7,4) | BCH code | Linear code | Ternary Golay code | Hamming code | Polynomial ring | Singleton bound | Principal ideal ring | Block code | Reed–Muller code | Binary Golay code | Parity bit | Eugene Prange | Code word | Polynomial code | Irreducible polynomial | Galois extension | Circular shift | Irving S. Reed | Fourier transform | Principal ideal | Error detection and correction