Coding theory | Algebraic curves | Finite fields | Articles containing proofs

Goppa code

In mathematics, an algebraic geometric code (AG-code), otherwise known as a Goppa code, is a general type of linear code constructed by using an algebraic curve over a finite field . Such codes were introduced by Valerii Denisovich Goppa. In particular cases, they can have interesting , making them useful for a variety of error detection and correction problems. They should not be confused with binary Goppa codes that are used, for instance, in the McEliece cryptosystem. (Wikipedia).

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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)

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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

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Mirror symmetry for complex projective space and optimal towers of algebraic curves by Sergey Galkin

Date/Time: Monday, March 2, 4:00 pm Title: Mirror symmetry for complex projective space and optimal towers of algebraic curves Abstract: I will speak about mirror symmetry for projective threespace, and how with Sergey Rybakov we used it to construct an optimal tower of algebraic curves

From playlist Seminar Series

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GoGeometry Action 32!

Link: https://www.geogebra.org/m/kSYmnker

From playlist Geometry: Challenge Problems

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GoGeometry Action 52!

Link: https://www.geogebra.org/m/nH2cAsTz

From playlist Geometry: Challenge Problems

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GoGeometry Action 38!

Link: https://www.geogebra.org/m/FzHhdUBn

From playlist Geometry: Challenge Problems

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GoGeometry Action 61!

Link: https://www.geogebra.org/m/EtHMAgRw

From playlist Geometry: Challenge Problems

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GoGeometry Action 46!

Link: https://www.geogebra.org/m/Xr25f7EV

From playlist Geometry: Challenge Problems

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GoGeometry Action 71!

Link: https://www.geogebra.org/m/nXvKNUHa

From playlist Geometry: Challenge Problems

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GoGeometry Action 130!

Link: https://www.geogebra.org/m/dMNUJHTa

From playlist Geometry: Challenge Problems

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GoGeometry Action 123!

Link: https://www.geogebra.org/m/YZNsuM5f

From playlist Geometry: Challenge Problems

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GoGeometry Action 48!

Link: https://www.geogebra.org/m/kKf37Mew

From playlist Geometry: Challenge Problems

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‎️‍🔥Welcome to CodeQuest By Simplilearn | Learner Coding Contest | Win Amazing Prices! | Simplilearn

‎️‍🔥Participate Now!: https://docs.google.com/forms/d/e/1FAIpQLSeTGN2Ywq8ubu1gxdG7pEsqXdCZqAf5O41DZjm9t9huFvSc1g/viewform Welcome to Code Quest: A warm welcome to the Coding Contest hosted by Simplilearn and SimpliCode. The idea behind this contest is to encourage and recognize the tru

From playlist Simplilearn Live

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Everything You Need to Know About JPEG - Episode 4 Part 1: Huffman Decoding

In this series you will learn all of the in-depth details of the complex and sophisticated JPEG image compression format In this episode, we learn all about Huffman codes, how to create a Huffman Coding Tree, and how to create Huffman codes based on a JPEG Huffman Table Jump into the pla

From playlist Fourier

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Locally testable and locally correctable codes approaching the GV bound - Shubhangi Saraf

Computer Science/Discrete Mathematics Seminar I Topic: Locally testable and locally correctable codes approaching the Gilbert-Varshamov bound Speaker: Shubhangi Sara Affiliation: Rutgers University Date: November 27, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Coding Decoding Reasoning Tricks | Coding Decoding Reasoning Examples | Simplilearn

This video on Coding, decoding and reasoning tricks will help you make it easy while preparing for all job-related exams. This video also covers some examples related to coding, decoding, and reasoning and provides a clear explanation for every topic. Topics covered in this coding, decodi

From playlist Data Structures & Algorithms [2022 Updated]

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Welcome to Code Quest By Simplilearn | Learner Coding Contest | Win Amazing Prices! | Simplilearn

Participate Now!: https://docs.google.com/forms/d/e/1FAIpQLSeEtz4sMPU1vBM0MvScU0h1lPtDTvVaKHyXEe1dnh0vf004uQ/viewform?usp=sf_link Welcome to Code Quest: A warm welcome to the Coding Contest hosted by Simplilearn and SimpliCode. The idea behind this contest is to encourage and recognize

From playlist Simplilearn Live

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Lec 6 | MIT 6.451 Principles of Digital Communication II

Introduction to Binary 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

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GoGeometry Action 50!

Link: https://www.geogebra.org/m/ET2ZkXcD

From playlist Geometry: Challenge Problems

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Lifting small locally testable codes (LTCs) to large LTCs via HDXs - Prahladh Harsha

Computer Science/Discrete Mathematics Seminar I Topic: Lifting small locally testable codes (LTCs) to large LTCs via HDXs Speaker: Prahladh Harsha Affiliation: Tata Institute of Fundamental Research Date: November 25, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

Related pages

Hamming weight | Function field of an algebraic variety | Divisor (algebraic geometry) | Binary Goppa code | Support (mathematics) | Algebraic curve | Dual code | Linear code | Finite field | Mathematics | Riemann–Roch theorem | McEliece cryptosystem | Error detection and correction