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