Coding theory | Algebraic curves | Finite fields | Articles containing proofs
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).
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)
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
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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From playlist Geometry: Challenge Problems
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From playlist Geometry: Challenge Problems
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From playlist Geometry: Challenge Problems
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From playlist Geometry: Challenge Problems
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From playlist Geometry: Challenge Problems
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From playlist Geometry: Challenge Problems
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From playlist Geometry: Challenge Problems
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From playlist Geometry: Challenge Problems
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From playlist Geometry: Challenge Problems
️🔥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
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
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
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]
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
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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From playlist Geometry: Challenge Problems
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