Valentijn, Ashley, “Goppa Codes and Their Use in the McEliece Cryptosystems” ( ). Syracuse University Honors Program Capstone. Ideas from algebraic geometry became useful in coding theory after Goppa’s to give a partial account of the interplay between one-point Goppa codes and. Goppa Codes. & the McEliece Cryptosystem scriptie voor het verkrijgen van de graad van doctorandus in de Wiskunde, aan de Faculteit der Exacte.

Author: Samulabar Naran
Country: Burma
Language: English (Spanish)
Genre: Health and Food
Published (Last): 22 March 2008
Pages: 91
PDF File Size: 4.20 Mb
ePub File Size: 3.18 Mb
ISBN: 542-3-81636-864-2
Downloads: 78586
Price: Free* [*Free Regsitration Required]
Uploader: Kektilar

Such codes were introduced by Valerii Denisovich Goppa. In particular cases, they can have interesting extremal properties.

Goppa codes

They should not be confused with Binary Goppa gopa that are used, for instance, in the McEliece cryptosystem. The vector space is a subspace of the function field of X. We usually denote a Goppa code by C DG. We now know all we need to define the Goppa code:.

  LES VERTUS DU MORINGA PDF

The following shows how the parameters of the code relate to classical parameters of linear systems of divisors D on C cf. Riemann—Roch theorem for more.

The notation l D means the dimension of L D. From Wikipedia, the glppa encyclopedia. This article has multiple issues. Please help improve it or discuss these issues on the talk page.

Learn how and when codse remove these template messages. This article may be confusing or unclear to readers. Please help us clarify the article.

There might be a discussion about this on the talk page. February Learn how and when to remove this template message. This article includes a list of referencesrelated reading or external linksbut its sources remain unclear because it lacks inline citations.

Goppa codes – Semantic Scholar

Please help to improve this article by introducing more precise citations. April Learn how and when to remove this template message. Retrieved from ” https: Coding theory Algebraic gkppa Finite fields.

  FOTOSINTESI CLOROFILIANA PDF

Wikipedia articles needing clarification from February All Wikipedia articles needing clarification Articles lacking in-text citations from April All articles lacking in-text citations Articles with multiple maintenance issues Articles containing proofs.

Views Read Edit View history. This page was last edited on 16 Octobergoppx By using this site, you agree to the Terms of Use and Privacy Policy.